Direct digital synthesis of square waves...

  • Thread starter Anthony William Sloman
  • Start date
tirsdag den 16. august 2022 kl. 16.03.01 UTC+2 skrev jla...@highlandsniptechnology.com:
On Tue, 16 Aug 2022 15:44:27 +0300, Dimiter_Popoff <d...@tgi-sci.com
wrote:
On 8/16/2022 3:23, John Larkin wrote:
On Mon, 15 Aug 2022 16:45:18 -0700 (PDT), whit3rd <whi...@gmail.com
wrote:

On Monday, August 15, 2022 at 2:03:21 PM UTC-7, Dimiter Popoff wrote:
On 8/15/2022 22:56, Lasse Langwadt Christensen wrote:
mandag den 15. august 2022 kl. 21.42.18 UTC+2 skrev Dimiter Popoff:

I still don\'t understand what you are trying to do. Periodic sine
wave 1 to 15 MHz at 100 Msps is trivial, it takes a 100 entry sine
wave lookup table for the slowest case.

only if you want neat frequencies that add up to 100M

I don\'t understand what a neat frequency is, either. Any periodic
waveform at 1 MHz (the worst case) at 100 Msps update rate takes
a 100 entry table.

But suppose you adjust to 0.99 MHz; do you now use a 101 entry table?
And how about 0.995 MHz?
The small-integer ratios for a given frequency don\'t support a fixed table
size, and the \'update rate\' might not be fine-adjustable enough. In contrast
to a variable-LC tuning scheme, digital synthesis tables require... an exercise
in ratios of integers to approximate a real number.

With a DDS phase accumulator, the output frequency is

Fxo * N / M

where Fxo is the 100 MHz xtal oscillator

N is the frequency set word

M is the accumulator max count, say 2^48.

Frequency set resolution would be below 1 uHz in this case. Just load
N.

The sine lookup table is addressed by some number of MSBs of the phase
accumulator, 10 to 16 typically. It doesn\'t change in a given system.




Perhaps you could shorten the lookup table to some manageable size if
you do lookup-and-interpolate. Will still be huge... And division
at 100 Msps may well be prohibitive.
Our FPGA will have at least a megabit of ram if we use the efinix,
lots more if we use the Zynq. A sine table can be folded 2:1 or 4:1,
so we can easily do 64K points of 16 bit data.

One of my guys proposed an architecture that uses more bits of the
phase accumulator. A group of MS bits becomes the gate for a cluster
of LS bits. Envision a spinner dial that mostly parks at 0 degrees and
once in a while makes a single fast rotation. That essentially puts a
divisor *before* a cosine lookup table and DAC.

Gotta simulate that somehow.

take you favorite programming language (or a spreadsheet) make a textfile
with two columns time and value, a voltage source can load that as a pwl file
 
On 8/16/2022 17:02, jlarkin@highlandsniptechnology.com wrote:
On Tue, 16 Aug 2022 15:44:27 +0300, Dimiter_Popoff <dp@tgi-sci.com
wrote:

On 8/16/2022 3:23, John Larkin wrote:
On Mon, 15 Aug 2022 16:45:18 -0700 (PDT), whit3rd <whit3rd@gmail.com
wrote:

On Monday, August 15, 2022 at 2:03:21 PM UTC-7, Dimiter Popoff wrote:
On 8/15/2022 22:56, Lasse Langwadt Christensen wrote:
mandag den 15. august 2022 kl. 21.42.18 UTC+2 skrev Dimiter Popoff:

I still don\'t understand what you are trying to do. Periodic sine
wave 1 to 15 MHz at 100 Msps is trivial, it takes a 100 entry sine
wave lookup table for the slowest case.

only if you want neat frequencies that add up to 100M

I don\'t understand what a neat frequency is, either. Any periodic
waveform at 1 MHz (the worst case) at 100 Msps update rate takes
a 100 entry table.

But suppose you adjust to 0.99 MHz; do you now use a 101 entry table?
And how about 0.995 MHz?
The small-integer ratios for a given frequency don\'t support a fixed table
size, and the \'update rate\' might not be fine-adjustable enough. In contrast
to a variable-LC tuning scheme, digital synthesis tables require... an exercise
in ratios of integers to approximate a real number.

With a DDS phase accumulator, the output frequency is

Fxo * N / M

where Fxo is the 100 MHz xtal oscillator

N is the frequency set word

M is the accumulator max count, say 2^48.

Frequency set resolution would be below 1 uHz in this case. Just load
N.

The sine lookup table is addressed by some number of MSBs of the phase
accumulator, 10 to 16 typically. It doesn\'t change in a given system.




Perhaps you could shorten the lookup table to some manageable size if
you do lookup-and-interpolate. Will still be huge... And division
at 100 Msps may well be prohibitive.

Our FPGA will have at least a megabit of ram if we use the efinix,
lots more if we use the Zynq. A sine table can be folded 2:1 or 4:1,
so we can easily do 64K points of 16 bit data.

One of my guys proposed an architecture that uses more bits of the
phase accumulator. A group of MS bits becomes the gate for a cluster
of LS bits. Envision a spinner dial that mostly parks at 0 degrees and
once in a while makes a single fast rotation. That essentially puts a
divisor *before* a cosine lookup table and DAC.

Gotta simulate that somehow.

But if this is to be used as a trigger (similar to the sweep trigger
on a scope, level knob etc.) can\'t you just do triangular instead of
sine wave? Should even be better for that purpose - and no need for a
lookup table at all...
 
On Tue, 16 Aug 2022 19:51:04 +0300, Dimiter_Popoff <dp@tgi-sci.com>
wrote:

On 8/16/2022 17:02, jlarkin@highlandsniptechnology.com wrote:
On Tue, 16 Aug 2022 15:44:27 +0300, Dimiter_Popoff <dp@tgi-sci.com
wrote:

On 8/16/2022 3:23, John Larkin wrote:
On Mon, 15 Aug 2022 16:45:18 -0700 (PDT), whit3rd <whit3rd@gmail.com
wrote:

On Monday, August 15, 2022 at 2:03:21 PM UTC-7, Dimiter Popoff wrote:
On 8/15/2022 22:56, Lasse Langwadt Christensen wrote:
mandag den 15. august 2022 kl. 21.42.18 UTC+2 skrev Dimiter Popoff:

I still don\'t understand what you are trying to do. Periodic sine
wave 1 to 15 MHz at 100 Msps is trivial, it takes a 100 entry sine
wave lookup table for the slowest case.

only if you want neat frequencies that add up to 100M

I don\'t understand what a neat frequency is, either. Any periodic
waveform at 1 MHz (the worst case) at 100 Msps update rate takes
a 100 entry table.

But suppose you adjust to 0.99 MHz; do you now use a 101 entry table?
And how about 0.995 MHz?
The small-integer ratios for a given frequency don\'t support a fixed table
size, and the \'update rate\' might not be fine-adjustable enough. In contrast
to a variable-LC tuning scheme, digital synthesis tables require... an exercise
in ratios of integers to approximate a real number.

With a DDS phase accumulator, the output frequency is

Fxo * N / M

where Fxo is the 100 MHz xtal oscillator

N is the frequency set word

M is the accumulator max count, say 2^48.

Frequency set resolution would be below 1 uHz in this case. Just load
N.

The sine lookup table is addressed by some number of MSBs of the phase
accumulator, 10 to 16 typically. It doesn\'t change in a given system.




Perhaps you could shorten the lookup table to some manageable size if
you do lookup-and-interpolate. Will still be huge... And division
at 100 Msps may well be prohibitive.

Our FPGA will have at least a megabit of ram if we use the efinix,
lots more if we use the Zynq. A sine table can be folded 2:1 or 4:1,
so we can easily do 64K points of 16 bit data.

One of my guys proposed an architecture that uses more bits of the
phase accumulator. A group of MS bits becomes the gate for a cluster
of LS bits. Envision a spinner dial that mostly parks at 0 degrees and
once in a while makes a single fast rotation. That essentially puts a
divisor *before* a cosine lookup table and DAC.

Gotta simulate that somehow.




But if this is to be used as a trigger (similar to the sweep trigger
on a scope, level knob etc.) can\'t you just do triangular instead of
sine wave? Should even be better for that purpose - and no need for a
lookup table at all...

That has been considered. But Claude Shannon is the evil stepmother
lurking and plotting to keep us from living happily after.

The sampling frequency is async to the trigger rate that we want, so
is a source of jitter. A triangle is not bandlimited to below the
Nyquist rate, and we can\'t afford an ideal lowpass filter either.
 
On Tuesday, August 16, 2022 at 7:03:01 AM UTC-7, jla...@highlandsniptechnology.com wrote:
On Tue, 16 Aug 2022 15:44:27 +0300, Dimiter_Popoff <d...@tgi-sci.com
wrote:
On 8/16/2022 3:23, John Larkin wrote:
On Mon, 15 Aug 2022 16:45:18 -0700 (PDT), whit3rd <whi...@gmail.com
wrote:

On Monday, August 15, 2022 at 2:03:21 PM UTC-7, Dimiter Popoff wrote:
On 8/15/2022 22:56, Lasse Langwadt Christensen wrote:
mandag den 15. august 2022 kl. 21.42.18 UTC+2 skrev Dimiter Popoff:

I still don\'t understand what you are trying to do. Periodic sine
wave 1 to 15 MHz at 100 Msps is trivial, it takes a 100 entry sine
wave lookup table for the slowest case.

The small-integer ratios for a given frequency don\'t support a fixed table
size, and the \'update rate\' might not be fine-adjustable enough. In contrast
to a variable-LC tuning scheme, digital synthesis tables require... an exercise
in ratios of integers to approximate a real number.

With a DDS phase accumulator, the output frequency is

Fxo * N / M

where Fxo is the 100 MHz xtal oscillator

N is the frequency set word

M is the accumulator max count, say 2^48.

Frequency set resolution would be below 1 uHz in this case. Just load
N.

The sine lookup table is addressed by some number of MSBs of the phase
accumulator, 10 to 16 typically. It doesn\'t change in a given system.

Perhaps you could shorten the lookup table to some manageable size if
you do lookup-and-interpolate. Will still be huge... And division
at 100 Msps may well be prohibitive.

Our FPGA will have at least a megabit of ram if we use the efinix,
lots more if we use the Zynq. A sine table can be folded 2:1 or 4:1,
so we can easily do 64K points of 16 bit data.

A smaller sine/cos table might be used with

sine(a+b) = sine(a) cos(b) + cos(a)sine(b)

as in, with small deviations \'b\' from major steps in the table, two multiplies and
an add give you 2^20 different accurate sines from a 2^10 size sine table.
Since cos(b) will always be near unity ( 1 plus order of 2^-20 when b is under 2^-10),
you can make that one multiply and an add. Perhaps that\'s what the \'phase
accumulator\' is for, estimating the \'b\'?
 
On Mon, 15 Aug 2022 19:26:28 -0700, jlarkin@highlandsniptechnology.com
wrote:

On Mon, 15 Aug 2022 22:42:11 +0300, Dimiter_Popoff <dp@tgi-sci.com
wrote:

On 8/15/2022 17:17, jlarkin@highlandsniptechnology.com wrote:
On Mon, 15 Aug 2022 12:54:56 +0300, Dimiter_Popoff <dp@tgi-sci.com
wrote:

On 8/15/2022 1:41, Dimiter_Popoff wrote:
On 8/15/2022 1:08, jlarkin@highlandsniptechnology.com wrote:
On Mon, 15 Aug 2022 00:46:15 +0300, Dimiter_Popoff <dp@tgi-sci.com
wrote:

On 8/14/2022 17:14, jlarkin@highlandsniptechnology.com wrote:
On Sun, 14 Aug 2022 02:22:50 -0700 (PDT), Lasse Langwadt Christensen
langwadt@fonz.dk> wrote:

søndag den 14. august 2022 kl. 08.51.36 UTC+2 skrev bill....@ieee.org:
It strikes me that John Larkin\'s original idea of synthesising
trapezoids can be made to work.

You would still use a fast 14- or 16 bit DAC, but the waveform you
fed into your comparator would be made up of four sequential
components - all coming out of the DAC - high segment of arbitrary
length, a falling edge, a low segment, and a risng edge

With a 14-bit DAC - the LTC2000 comes to mind

https://www.analog.com/media/en/technical-documentation/data-sheets/2000fb.pdf


you\'d synthisese the rising and falling edges of the trapezia as
16-successive steps of a staircase waveform.

since it is for a trigger and the falling edge probably doesn\'t
matter, why not a single variable voltage step into a filter, sorta
like a time-to-amplitude in reverse

My question is basically whether one can DDS a non-sinusoidal waveform
to make a faster edge into a filter and comparator, to get better time
resolution, less jitter, at low frequencies.

I am only curious if I understand what you are after - is it some sort
of \"the larger the step the less low pass I want applied to it\"?

When synthesizing a low frequency DDS sine wave, we step slowly
through the waveform lookup table and a fixed filter doesn\'t
interpolate waveform steps any more; it settles every step.

So, is there a better waveform to use at low frequencies?


Hmmm. I get it now (though I don\'t get why this is a problem,
likely specific to your application). I don\'t know how one
waveform would be better for you that another, don\'t know
what it is you are doing (perhaps you said and I missed it,
I am not following closely).
A pretty complex way of dealing with the steps at low frequencies
is perhaps to have two DACs, one of them making the output filter
programmable so you can dynamically change it, based on step,
with some preemption etc., you get the idea - and I am not sure
it is practical, not only because it is complex but also because
I have never done this, I am just musing.

I missed the \"we step slowly\" in your post, now I get it.
Well, the simplest way out is to step at a constant rate all the
time.

I want to synthesize 1 mHz to 15 MHz, with a 100 MHz DDS clock. That
needs a sine lookup table with about 50 billion entries. And an
equally impossible DAC and comparator.

We\'ll probably wind up synthesizing the high range, an octave or so,
and divide down as needed. The trick will be to make the gear shifts
appear to be seamless.

That could get interesting.


I still don\'t understand what you are trying to do. Periodic sine
wave 1 to 15 MHz at 100 Msps is trivial, it takes a 100 entry sine
wave lookup table for the slowest case. If you want to switch by
operator action you have milliseconds of time to recalculate the table.
If you want to switch by some external gating you only need two
tables to switch between, this makes up to 200 entries.
This is all way too simple and obvious so you must be after something
more than that - which I haven\'t got yet.

I just want a programmable-frequency trigger generator that changes
frequency on demand and doesn\'t stop for reprogramming and doesn\'t
blow up someone\'s laser by generating any goofy triggers. In other
words, goes smoothly from F1 to F2.

With low period jitter from, say, 1 mHz to 15 Mhz.

mHz resolution is good too.

I guess I\'m not seeing the problem. Ordinary DDS units with 48-bit
accumulators can do just this, with phase continuity between the two
frequencies, so no glitches. People implement arbitrary
frequency-keyed waveforms this way.

The phase to trig converter typically uses only the upper 10 to 14
bits of the 48-bit accumulator. Converter implementations vary:
table-lookup and CORDIC being very common approaches.

Perhaps it\'s time to bring the various discussion threads together and
re-focus by restating the problem to be solved.

Joe Gwinn
 
On Tue, 16 Aug 2022 13:46:32 -0400, Joe Gwinn <joegwinn@comcast.net>
wrote:

On Mon, 15 Aug 2022 19:26:28 -0700, jlarkin@highlandsniptechnology.com
wrote:

On Mon, 15 Aug 2022 22:42:11 +0300, Dimiter_Popoff <dp@tgi-sci.com
wrote:

On 8/15/2022 17:17, jlarkin@highlandsniptechnology.com wrote:
On Mon, 15 Aug 2022 12:54:56 +0300, Dimiter_Popoff <dp@tgi-sci.com
wrote:

On 8/15/2022 1:41, Dimiter_Popoff wrote:
On 8/15/2022 1:08, jlarkin@highlandsniptechnology.com wrote:
On Mon, 15 Aug 2022 00:46:15 +0300, Dimiter_Popoff <dp@tgi-sci.com
wrote:

On 8/14/2022 17:14, jlarkin@highlandsniptechnology.com wrote:
On Sun, 14 Aug 2022 02:22:50 -0700 (PDT), Lasse Langwadt Christensen
langwadt@fonz.dk> wrote:

søndag den 14. august 2022 kl. 08.51.36 UTC+2 skrev bill....@ieee.org:
It strikes me that John Larkin\'s original idea of synthesising
trapezoids can be made to work.

You would still use a fast 14- or 16 bit DAC, but the waveform you
fed into your comparator would be made up of four sequential
components - all coming out of the DAC - high segment of arbitrary
length, a falling edge, a low segment, and a risng edge

With a 14-bit DAC - the LTC2000 comes to mind

https://www.analog.com/media/en/technical-documentation/data-sheets/2000fb.pdf


you\'d synthisese the rising and falling edges of the trapezia as
16-successive steps of a staircase waveform.

since it is for a trigger and the falling edge probably doesn\'t
matter, why not a single variable voltage step into a filter, sorta
like a time-to-amplitude in reverse

My question is basically whether one can DDS a non-sinusoidal waveform
to make a faster edge into a filter and comparator, to get better time
resolution, less jitter, at low frequencies.

I am only curious if I understand what you are after - is it some sort
of \"the larger the step the less low pass I want applied to it\"?

When synthesizing a low frequency DDS sine wave, we step slowly
through the waveform lookup table and a fixed filter doesn\'t
interpolate waveform steps any more; it settles every step.

So, is there a better waveform to use at low frequencies?


Hmmm. I get it now (though I don\'t get why this is a problem,
likely specific to your application). I don\'t know how one
waveform would be better for you that another, don\'t know
what it is you are doing (perhaps you said and I missed it,
I am not following closely).
A pretty complex way of dealing with the steps at low frequencies
is perhaps to have two DACs, one of them making the output filter
programmable so you can dynamically change it, based on step,
with some preemption etc., you get the idea - and I am not sure
it is practical, not only because it is complex but also because
I have never done this, I am just musing.

I missed the \"we step slowly\" in your post, now I get it.
Well, the simplest way out is to step at a constant rate all the
time.

I want to synthesize 1 mHz to 15 MHz, with a 100 MHz DDS clock. That
needs a sine lookup table with about 50 billion entries. And an
equally impossible DAC and comparator.

We\'ll probably wind up synthesizing the high range, an octave or so,
and divide down as needed. The trick will be to make the gear shifts
appear to be seamless.

That could get interesting.


I still don\'t understand what you are trying to do. Periodic sine
wave 1 to 15 MHz at 100 Msps is trivial, it takes a 100 entry sine
wave lookup table for the slowest case. If you want to switch by
operator action you have milliseconds of time to recalculate the table.
If you want to switch by some external gating you only need two
tables to switch between, this makes up to 200 entries.
This is all way too simple and obvious so you must be after something
more than that - which I haven\'t got yet.

I just want a programmable-frequency trigger generator that changes
frequency on demand and doesn\'t stop for reprogramming and doesn\'t
blow up someone\'s laser by generating any goofy triggers. In other
words, goes smoothly from F1 to F2.

With low period jitter from, say, 1 mHz to 15 Mhz.

mHz resolution is good too.

I guess I\'m not seeing the problem. Ordinary DDS units with 48-bit
accumulators can do just this, with phase continuity between the two
frequencies, so no glitches. People implement arbitrary
frequency-keyed waveforms this way.

The phase to trig converter typically uses only the upper 10 to 14
bits of the 48-bit accumulator. Converter implementations vary:
table-lookup and CORDIC being very common approaches.

One problem is that, at low frequencies, the LSB of that 10 to 14 bits
changes infrequently and the lowpass filter doesn\'t interpolate
multiple points any more. So one gets a lot of period jitter

Perhaps it\'s time to bring the various discussion threads together and
re-focus by restating the problem to be solved.

I\'ve stated it a few times: We want a perfect, programmable,
glitch-free, always right, low period jitter trigger clock.

It\'s an interesting problem.
 
tirsdag den 16. august 2022 kl. 19.46.45 UTC+2 skrev Joe Gwinn:
On Mon, 15 Aug 2022 19:26:28 -0700, jla...@highlandsniptechnology.com
wrote:

On Mon, 15 Aug 2022 22:42:11 +0300, Dimiter_Popoff <d...@tgi-sci.com
wrote:

On 8/15/2022 17:17, jla...@highlandsniptechnology.com wrote:
On Mon, 15 Aug 2022 12:54:56 +0300, Dimiter_Popoff <d...@tgi-sci.com
wrote:

On 8/15/2022 1:41, Dimiter_Popoff wrote:
On 8/15/2022 1:08, jla...@highlandsniptechnology.com wrote:
On Mon, 15 Aug 2022 00:46:15 +0300, Dimiter_Popoff <d...@tgi-sci.com
wrote:

On 8/14/2022 17:14, jla...@highlandsniptechnology.com wrote:
On Sun, 14 Aug 2022 02:22:50 -0700 (PDT), Lasse Langwadt Christensen
lang...@fonz.dk> wrote:

sųndag den 14. august 2022 kl. 08.51.36 UTC+2 skrev bill.....@ieee.org:
It strikes me that John Larkin\'s original idea of synthesising
trapezoids can be made to work.

You would still use a fast 14- or 16 bit DAC, but the waveform you
fed into your comparator would be made up of four sequential
components - all coming out of the DAC - high segment of arbitrary
length, a falling edge, a low segment, and a risng edge

With a 14-bit DAC - the LTC2000 comes to mind

https://www.analog.com/media/en/technical-documentation/data-sheets/2000fb.pdf


you\'d synthisese the rising and falling edges of the trapezia as
16-successive steps of a staircase waveform.

since it is for a trigger and the falling edge probably doesn\'t
matter, why not a single variable voltage step into a filter, sorta
like a time-to-amplitude in reverse

My question is basically whether one can DDS a non-sinusoidal waveform
to make a faster edge into a filter and comparator, to get better time
resolution, less jitter, at low frequencies.

I am only curious if I understand what you are after - is it some sort
of \"the larger the step the less low pass I want applied to it\"?

When synthesizing a low frequency DDS sine wave, we step slowly
through the waveform lookup table and a fixed filter doesn\'t
interpolate waveform steps any more; it settles every step.

So, is there a better waveform to use at low frequencies?


Hmmm. I get it now (though I don\'t get why this is a problem,
likely specific to your application). I don\'t know how one
waveform would be better for you that another, don\'t know
what it is you are doing (perhaps you said and I missed it,
I am not following closely).
A pretty complex way of dealing with the steps at low frequencies
is perhaps to have two DACs, one of them making the output filter
programmable so you can dynamically change it, based on step,
with some preemption etc., you get the idea - and I am not sure
it is practical, not only because it is complex but also because
I have never done this, I am just musing.

I missed the \"we step slowly\" in your post, now I get it.
Well, the simplest way out is to step at a constant rate all the
time.

I want to synthesize 1 mHz to 15 MHz, with a 100 MHz DDS clock. That
needs a sine lookup table with about 50 billion entries. And an
equally impossible DAC and comparator.

We\'ll probably wind up synthesizing the high range, an octave or so,
and divide down as needed. The trick will be to make the gear shifts
appear to be seamless.

That could get interesting.


I still don\'t understand what you are trying to do. Periodic sine
wave 1 to 15 MHz at 100 Msps is trivial, it takes a 100 entry sine
wave lookup table for the slowest case. If you want to switch by
operator action you have milliseconds of time to recalculate the table.
If you want to switch by some external gating you only need two
tables to switch between, this makes up to 200 entries.
This is all way too simple and obvious so you must be after something
more than that - which I haven\'t got yet.

I just want a programmable-frequency trigger generator that changes
frequency on demand and doesn\'t stop for reprogramming and doesn\'t
blow up someone\'s laser by generating any goofy triggers. In other
words, goes smoothly from F1 to F2.

With low period jitter from, say, 1 mHz to 15 Mhz.

mHz resolution is good too.
I guess I\'m not seeing the problem. Ordinary DDS units with 48-bit
accumulators can do just this, with phase continuity between the two
frequencies, so no glitches. People implement arbitrary
frequency-keyed waveforms this way.

The phase to trig converter typically uses only the upper 10 to 14
bits of the 48-bit accumulator. Converter implementations vary:
table-lookup and CORDIC being very common approaches.

Perhaps it\'s time to bring the various discussion threads together and
re-focus by restating the problem to be solved.

https://imgur.com/GwZ2q8A

stepping through a sine table at F and 8*F
much exaggerated by short sine table and low resolution
 
tirsdag den 16. august 2022 kl. 20.32.22 UTC+2 skrev John Larkin:
On Tue, 16 Aug 2022 13:46:32 -0400, Joe Gwinn <joeg...@comcast.net
wrote:

On Mon, 15 Aug 2022 19:26:28 -0700, jla...@highlandsniptechnology.com
wrote:

On Mon, 15 Aug 2022 22:42:11 +0300, Dimiter_Popoff <d...@tgi-sci.com
wrote:

On 8/15/2022 17:17, jla...@highlandsniptechnology.com wrote:
On Mon, 15 Aug 2022 12:54:56 +0300, Dimiter_Popoff <d...@tgi-sci.com
wrote:

On 8/15/2022 1:41, Dimiter_Popoff wrote:
On 8/15/2022 1:08, jla...@highlandsniptechnology.com wrote:
On Mon, 15 Aug 2022 00:46:15 +0300, Dimiter_Popoff <d...@tgi-sci.com
wrote:

On 8/14/2022 17:14, jla...@highlandsniptechnology.com wrote:
On Sun, 14 Aug 2022 02:22:50 -0700 (PDT), Lasse Langwadt Christensen
lang...@fonz.dk> wrote:

sųndag den 14. august 2022 kl. 08.51.36 UTC+2 skrev bill.....@ieee.org:
It strikes me that John Larkin\'s original idea of synthesising
trapezoids can be made to work.

You would still use a fast 14- or 16 bit DAC, but the waveform you
fed into your comparator would be made up of four sequential
components - all coming out of the DAC - high segment of arbitrary
length, a falling edge, a low segment, and a risng edge

With a 14-bit DAC - the LTC2000 comes to mind

https://www.analog.com/media/en/technical-documentation/data-sheets/2000fb.pdf


you\'d synthisese the rising and falling edges of the trapezia as
16-successive steps of a staircase waveform.

since it is for a trigger and the falling edge probably doesn\'t
matter, why not a single variable voltage step into a filter, sorta
like a time-to-amplitude in reverse

My question is basically whether one can DDS a non-sinusoidal waveform
to make a faster edge into a filter and comparator, to get better time
resolution, less jitter, at low frequencies.

I am only curious if I understand what you are after - is it some sort
of \"the larger the step the less low pass I want applied to it\"?

When synthesizing a low frequency DDS sine wave, we step slowly
through the waveform lookup table and a fixed filter doesn\'t
interpolate waveform steps any more; it settles every step.

So, is there a better waveform to use at low frequencies?


Hmmm. I get it now (though I don\'t get why this is a problem,
likely specific to your application). I don\'t know how one
waveform would be better for you that another, don\'t know
what it is you are doing (perhaps you said and I missed it,
I am not following closely).
A pretty complex way of dealing with the steps at low frequencies
is perhaps to have two DACs, one of them making the output filter
programmable so you can dynamically change it, based on step,
with some preemption etc., you get the idea - and I am not sure
it is practical, not only because it is complex but also because
I have never done this, I am just musing.

I missed the \"we step slowly\" in your post, now I get it.
Well, the simplest way out is to step at a constant rate all the
time.

I want to synthesize 1 mHz to 15 MHz, with a 100 MHz DDS clock. That
needs a sine lookup table with about 50 billion entries. And an
equally impossible DAC and comparator.

We\'ll probably wind up synthesizing the high range, an octave or so,
and divide down as needed. The trick will be to make the gear shifts
appear to be seamless.

That could get interesting.


I still don\'t understand what you are trying to do. Periodic sine
wave 1 to 15 MHz at 100 Msps is trivial, it takes a 100 entry sine
wave lookup table for the slowest case. If you want to switch by
operator action you have milliseconds of time to recalculate the table..
If you want to switch by some external gating you only need two
tables to switch between, this makes up to 200 entries.
This is all way too simple and obvious so you must be after something
more than that - which I haven\'t got yet.

I just want a programmable-frequency trigger generator that changes
frequency on demand and doesn\'t stop for reprogramming and doesn\'t
blow up someone\'s laser by generating any goofy triggers. In other
words, goes smoothly from F1 to F2.

With low period jitter from, say, 1 mHz to 15 Mhz.

mHz resolution is good too.

I guess I\'m not seeing the problem. Ordinary DDS units with 48-bit
accumulators can do just this, with phase continuity between the two
frequencies, so no glitches. People implement arbitrary
frequency-keyed waveforms this way.

The phase to trig converter typically uses only the upper 10 to 14
bits of the 48-bit accumulator. Converter implementations vary:
table-lookup and CORDIC being very common approaches.

One problem is that, at low frequencies, the LSB of that 10 to 14 bits
changes infrequently and the lowpass filter doesn\'t interpolate
multiple points any more. So one gets a lot of period jitter
Perhaps it\'s time to bring the various discussion threads together and
re-focus by restating the problem to be solved.
I\'ve stated it a few times: We want a perfect, programmable,
glitch-free, always right, low period jitter trigger clock.

It\'s an interesting problem.

https://imgur.com/6KqpCW9
 
On Tuesday, August 16, 2022 at 1:46:45 PM UTC-4, Joe Gwinn wrote:
On Mon, 15 Aug 2022 19:26:28 -0700, jla...@highlandsniptechnology.com
wrote:

On Mon, 15 Aug 2022 22:42:11 +0300, Dimiter_Popoff <d...@tgi-sci.com
wrote:

On 8/15/2022 17:17, jla...@highlandsniptechnology.com wrote:
On Mon, 15 Aug 2022 12:54:56 +0300, Dimiter_Popoff <d...@tgi-sci.com
wrote:

On 8/15/2022 1:41, Dimiter_Popoff wrote:
On 8/15/2022 1:08, jla...@highlandsniptechnology.com wrote:
On Mon, 15 Aug 2022 00:46:15 +0300, Dimiter_Popoff <d...@tgi-sci.com
wrote:

On 8/14/2022 17:14, jla...@highlandsniptechnology.com wrote:
On Sun, 14 Aug 2022 02:22:50 -0700 (PDT), Lasse Langwadt Christensen
lang...@fonz.dk> wrote:

sųndag den 14. august 2022 kl. 08.51.36 UTC+2 skrev bill.....@ieee.org:
It strikes me that John Larkin\'s original idea of synthesising
trapezoids can be made to work.

You would still use a fast 14- or 16 bit DAC, but the waveform you
fed into your comparator would be made up of four sequential
components - all coming out of the DAC - high segment of arbitrary
length, a falling edge, a low segment, and a risng edge

With a 14-bit DAC - the LTC2000 comes to mind

https://www.analog.com/media/en/technical-documentation/data-sheets/2000fb.pdf


you\'d synthisese the rising and falling edges of the trapezia as
16-successive steps of a staircase waveform.

since it is for a trigger and the falling edge probably doesn\'t
matter, why not a single variable voltage step into a filter, sorta
like a time-to-amplitude in reverse

My question is basically whether one can DDS a non-sinusoidal waveform
to make a faster edge into a filter and comparator, to get better time
resolution, less jitter, at low frequencies.

I am only curious if I understand what you are after - is it some sort
of \"the larger the step the less low pass I want applied to it\"?

When synthesizing a low frequency DDS sine wave, we step slowly
through the waveform lookup table and a fixed filter doesn\'t
interpolate waveform steps any more; it settles every step.

So, is there a better waveform to use at low frequencies?


Hmmm. I get it now (though I don\'t get why this is a problem,
likely specific to your application). I don\'t know how one
waveform would be better for you that another, don\'t know
what it is you are doing (perhaps you said and I missed it,
I am not following closely).
A pretty complex way of dealing with the steps at low frequencies
is perhaps to have two DACs, one of them making the output filter
programmable so you can dynamically change it, based on step,
with some preemption etc., you get the idea - and I am not sure
it is practical, not only because it is complex but also because
I have never done this, I am just musing.

I missed the \"we step slowly\" in your post, now I get it.
Well, the simplest way out is to step at a constant rate all the
time.

I want to synthesize 1 mHz to 15 MHz, with a 100 MHz DDS clock. That
needs a sine lookup table with about 50 billion entries. And an
equally impossible DAC and comparator.

We\'ll probably wind up synthesizing the high range, an octave or so,
and divide down as needed. The trick will be to make the gear shifts
appear to be seamless.

That could get interesting.


I still don\'t understand what you are trying to do. Periodic sine
wave 1 to 15 MHz at 100 Msps is trivial, it takes a 100 entry sine
wave lookup table for the slowest case. If you want to switch by
operator action you have milliseconds of time to recalculate the table.
If you want to switch by some external gating you only need two
tables to switch between, this makes up to 200 entries.
This is all way too simple and obvious so you must be after something
more than that - which I haven\'t got yet.

I just want a programmable-frequency trigger generator that changes
frequency on demand and doesn\'t stop for reprogramming and doesn\'t
blow up someone\'s laser by generating any goofy triggers. In other
words, goes smoothly from F1 to F2.

With low period jitter from, say, 1 mHz to 15 Mhz.

mHz resolution is good too.
I guess I\'m not seeing the problem. Ordinary DDS units with 48-bit
accumulators can do just this, with phase continuity between the two
frequencies, so no glitches. People implement arbitrary
frequency-keyed waveforms this way.

The phase to trig converter typically uses only the upper 10 to 14
bits of the 48-bit accumulator. Converter implementations vary:
table-lookup and CORDIC being very common approaches.

Perhaps it\'s time to bring the various discussion threads together and
re-focus by restating the problem to be solved.

Or maybe someone could just read how it has been done for over a decade. This is all well traveled ground. I see people now repeating things I said days ago.

The DDS should be designed to generate a top frequency over a 2:1 range. This is easy stuff, with good accuracy and very low jitter if properly designed (use of a long phase word).

A programmable divider then divides by 2**N by counting up to the set value..

A final FF buffer register of your favorite technology will provide the actual pulse output with an appropriate jitter.

These two units can both be changed on a single clock cycle by writing to a buffer register and updating the actual operational registers simultaneously on a cue. The DDS will continue from the present phase, so will produce one clock pulse that is an intermediate period. The programmable divider will continue from the current count, either triggering right away, or continuing to count from the present value. Either way it will always produce an output pulse that is within the range of the two settings, the prior setting and the new setting.

--

Rick C.

+- Get 1,000 miles of free Supercharging
+- Tesla referral code - https://ts.la/richard11209
 
On Wednesday, August 17, 2022 at 4:32:22 AM UTC+10, John Larkin wrote:
On Tue, 16 Aug 2022 13:46:32 -0400, Joe Gwinn <joeg...@comcast.net
wrote:

On Mon, 15 Aug 2022 19:26:28 -0700, jla...@highlandsniptechnology.com
wrote:

On Mon, 15 Aug 2022 22:42:11 +0300, Dimiter_Popoff <d...@tgi-sci.com
wrote:

On 8/15/2022 17:17, jla...@highlandsniptechnology.com wrote:
On Mon, 15 Aug 2022 12:54:56 +0300, Dimiter_Popoff <d...@tgi-sci.com
wrote:

On 8/15/2022 1:41, Dimiter_Popoff wrote:
On 8/15/2022 1:08, jla...@highlandsniptechnology.com wrote:
On Mon, 15 Aug 2022 00:46:15 +0300, Dimiter_Popoff <d...@tgi-sci.com
wrote:

On 8/14/2022 17:14, jla...@highlandsniptechnology.com wrote:
On Sun, 14 Aug 2022 02:22:50 -0700 (PDT), Lasse Langwadt Christensen
lang...@fonz.dk> wrote:

sųndag den 14. august 2022 kl. 08.51.36 UTC+2 skrev bill.....@ieee.org:
It strikes me that John Larkin\'s original idea of synthesising
trapezoids can be made to work.

You would still use a fast 14- or 16 bit DAC, but the waveform you
fed into your comparator would be made up of four sequential
components - all coming out of the DAC - high segment of arbitrary
length, a falling edge, a low segment, and a risng edge

With a 14-bit DAC - the LTC2000 comes to mind

https://www.analog.com/media/en/technical-documentation/data-sheets/2000fb.pdf


you\'d synthisese the rising and falling edges of the trapezia as
16-successive steps of a staircase waveform.

since it is for a trigger and the falling edge probably doesn\'t
matter, why not a single variable voltage step into a filter, sorta
like a time-to-amplitude in reverse

My question is basically whether one can DDS a non-sinusoidal waveform
to make a faster edge into a filter and comparator, to get better time
resolution, less jitter, at low frequencies.

I am only curious if I understand what you are after - is it some sort
of \"the larger the step the less low pass I want applied to it\"?

When synthesizing a low frequency DDS sine wave, we step slowly
through the waveform lookup table and a fixed filter doesn\'t
interpolate waveform steps any more; it settles every step.

So, is there a better waveform to use at low frequencies?


Hmmm. I get it now (though I don\'t get why this is a problem,
likely specific to your application). I don\'t know how one
waveform would be better for you that another, don\'t know
what it is you are doing (perhaps you said and I missed it,
I am not following closely).
A pretty complex way of dealing with the steps at low frequencies
is perhaps to have two DACs, one of them making the output filter
programmable so you can dynamically change it, based on step,
with some preemption etc., you get the idea - and I am not sure
it is practical, not only because it is complex but also because
I have never done this, I am just musing.

I missed the \"we step slowly\" in your post, now I get it.
Well, the simplest way out is to step at a constant rate all the
time.

I want to synthesize 1 mHz to 15 MHz, with a 100 MHz DDS clock. That
needs a sine lookup table with about 50 billion entries. And an
equally impossible DAC and comparator.

We\'ll probably wind up synthesizing the high range, an octave or so,
and divide down as needed. The trick will be to make the gear shifts
appear to be seamless.

That could get interesting.


I still don\'t understand what you are trying to do. Periodic sine
wave 1 to 15 MHz at 100 Msps is trivial, it takes a 100 entry sine
wave lookup table for the slowest case. If you want to switch by
operator action you have milliseconds of time to recalculate the table..
If you want to switch by some external gating you only need two
tables to switch between, this makes up to 200 entries.
This is all way too simple and obvious so you must be after something
more than that - which I haven\'t got yet.

I just want a programmable-frequency trigger generator that changes
frequency on demand and doesn\'t stop for reprogramming and doesn\'t
blow up someone\'s laser by generating any goofy triggers. In other
words, goes smoothly from F1 to F2.

With low period jitter from, say, 1 mHz to 15 Mhz.

mHz resolution is good too.

I guess I\'m not seeing the problem. Ordinary DDS units with 48-bit
accumulators can do just this, with phase continuity between the two
frequencies, so no glitches. People implement arbitrary
frequency-keyed waveforms this way.

The phase to trig converter typically uses only the upper 10 to 14
bits of the 48-bit accumulator. Converter implementations vary:
table-lookup and CORDIC being very common approaches.

One problem is that, at low frequencies, the LSB of that 10 to 14 bits
changes infrequently and the lowpass filter doesn\'t interpolate
multiple points any more. So one gets a lot of period jitter.

But you can solve that by synthesising a trapezium wave rather than a sine wave, and sticking to a constant slope for the sloped bits of the trapezium wave.

Perhaps it\'s time to bring the various discussion threads together and re-focus by restating the problem to be solved.

I\'ve stated it a few times: We want a perfect, programmable,
glitch-free, always right, low period jitter trigger clock.

Not to mention motherhood and apple pie.

A trigger clock that is always right can never be reprogrammed, because it\'s going to be wrong until the newly programmed frequency has been established,

You don\'t want to think about what you are asking for.

> It\'s an interesting problem.

In the same sense as the sound of one hand clapping.
--
Bill Sloman, Sydney
 
On Tue, 16 Aug 2022 11:50:57 -0700 (PDT), Lasse Langwadt Christensen
<langwadt@fonz.dk> wrote:

tirsdag den 16. august 2022 kl. 19.46.45 UTC+2 skrev Joe Gwinn:
On Mon, 15 Aug 2022 19:26:28 -0700, jla...@highlandsniptechnology.com
wrote:

On Mon, 15 Aug 2022 22:42:11 +0300, Dimiter_Popoff <d...@tgi-sci.com
wrote:

On 8/15/2022 17:17, jla...@highlandsniptechnology.com wrote:
On Mon, 15 Aug 2022 12:54:56 +0300, Dimiter_Popoff <d...@tgi-sci.com
wrote:

On 8/15/2022 1:41, Dimiter_Popoff wrote:
On 8/15/2022 1:08, jla...@highlandsniptechnology.com wrote:
On Mon, 15 Aug 2022 00:46:15 +0300, Dimiter_Popoff <d...@tgi-sci.com
wrote:

On 8/14/2022 17:14, jla...@highlandsniptechnology.com wrote:
On Sun, 14 Aug 2022 02:22:50 -0700 (PDT), Lasse Langwadt Christensen
lang...@fonz.dk> wrote:

s?ndag den 14. august 2022 kl. 08.51.36 UTC+2 skrev bill....@ieee.org:
It strikes me that John Larkin\'s original idea of synthesising
trapezoids can be made to work.

You would still use a fast 14- or 16 bit DAC, but the waveform you
fed into your comparator would be made up of four sequential
components - all coming out of the DAC - high segment of arbitrary
length, a falling edge, a low segment, and a risng edge

With a 14-bit DAC - the LTC2000 comes to mind

https://www.analog.com/media/en/technical-documentation/data-sheets/2000fb.pdf


you\'d synthisese the rising and falling edges of the trapezia as
16-successive steps of a staircase waveform.

since it is for a trigger and the falling edge probably doesn\'t
matter, why not a single variable voltage step into a filter, sorta
like a time-to-amplitude in reverse

My question is basically whether one can DDS a non-sinusoidal waveform
to make a faster edge into a filter and comparator, to get better time
resolution, less jitter, at low frequencies.

I am only curious if I understand what you are after - is it some sort
of \"the larger the step the less low pass I want applied to it\"?

When synthesizing a low frequency DDS sine wave, we step slowly
through the waveform lookup table and a fixed filter doesn\'t
interpolate waveform steps any more; it settles every step.

So, is there a better waveform to use at low frequencies?


Hmmm. I get it now (though I don\'t get why this is a problem,
likely specific to your application). I don\'t know how one
waveform would be better for you that another, don\'t know
what it is you are doing (perhaps you said and I missed it,
I am not following closely).
A pretty complex way of dealing with the steps at low frequencies
is perhaps to have two DACs, one of them making the output filter
programmable so you can dynamically change it, based on step,
with some preemption etc., you get the idea - and I am not sure
it is practical, not only because it is complex but also because
I have never done this, I am just musing.

I missed the \"we step slowly\" in your post, now I get it.
Well, the simplest way out is to step at a constant rate all the
time.

I want to synthesize 1 mHz to 15 MHz, with a 100 MHz DDS clock. That
needs a sine lookup table with about 50 billion entries. And an
equally impossible DAC and comparator.

We\'ll probably wind up synthesizing the high range, an octave or so,
and divide down as needed. The trick will be to make the gear shifts
appear to be seamless.

That could get interesting.


I still don\'t understand what you are trying to do. Periodic sine
wave 1 to 15 MHz at 100 Msps is trivial, it takes a 100 entry sine
wave lookup table for the slowest case. If you want to switch by
operator action you have milliseconds of time to recalculate the table.
If you want to switch by some external gating you only need two
tables to switch between, this makes up to 200 entries.
This is all way too simple and obvious so you must be after something
more than that - which I haven\'t got yet.

I just want a programmable-frequency trigger generator that changes
frequency on demand and doesn\'t stop for reprogramming and doesn\'t
blow up someone\'s laser by generating any goofy triggers. In other
words, goes smoothly from F1 to F2.

With low period jitter from, say, 1 mHz to 15 Mhz.

mHz resolution is good too.
I guess I\'m not seeing the problem. Ordinary DDS units with 48-bit
accumulators can do just this, with phase continuity between the two
frequencies, so no glitches. People implement arbitrary
frequency-keyed waveforms this way.

The phase to trig converter typically uses only the upper 10 to 14
bits of the 48-bit accumulator. Converter implementations vary:
table-lookup and CORDIC being very common approaches.

Perhaps it\'s time to bring the various discussion threads together and
re-focus by restating the problem to be solved.

https://imgur.com/GwZ2q8A

stepping through a sine table at F and 8*F
much exaggerated by short sine table and low resolution

One could think of clusters of bits as harmonic terms in a Fourier
series. A bit of grouping and scaling and adding could reshape a sine
into something more square. That\'s hard to think about too.

Bummer is, a DDS doesn\'t generally step one tick at a time. In fact,
it\'s a mess.

https://www.dropbox.com/s/1xx7sz1e5rg6jsi/JLDDS_100M_4K.jpg?raw=1

and it\'s very different at low frequencies.
 
On Wednesday, August 17, 2022 at 1:12:32 PM UTC+10, jla...@highlandsniptechnology.com wrote:
On Tue, 16 Aug 2022 11:50:57 -0700 (PDT), Lasse Langwadt Christensen <lang...@fonz.dk> wrote:
tirsdag den 16. august 2022 kl. 19.46.45 UTC+2 skrev Joe Gwinn:
On Mon, 15 Aug 2022 19:26:28 -0700, jla...@highlandsniptechnology.com wrote:
On Mon, 15 Aug 2022 22:42:11 +0300, Dimiter_Popoff <d...@tgi-sci.com> wrote:
On 8/15/2022 17:17, jla...@highlandsniptechnology.com wrote:
On Mon, 15 Aug 2022 12:54:56 +0300, Dimiter_Popoff <d...@tgi-sci.com> wrote:
On 8/15/2022 1:41, Dimiter_Popoff wrote:
On 8/15/2022 1:08, jla...@highlandsniptechnology.com wrote:
On Mon, 15 Aug 2022 00:46:15 +0300, Dimiter_Popoff <d...@tgi-sci.com> wrote:
On 8/14/2022 17:14, jla...@highlandsniptechnology.com wrote:
On Sun, 14 Aug 2022 02:22:50 -0700 (PDT), Lasse Langwadt Christensen <lang...@fonz.dk> wrote:

<snip>
s?ndag den 14. august 2022 kl. 08.51.36 UTC+2 skrev bill....@ieee.org:

One could think of clusters of bits as harmonic terms in a Fourier
series. A bit of grouping and scaling and adding could reshape a sine
into something more square. That\'s hard to think about too.

What puzzles me is how John Larkin finds customers dumb enough to be impressed by this kind of meaningless twaddle.

> Bummer is, a DDS doesn\'t generally step one tick at a time. In fact, it\'s a mess.

A DDS doesn\'t generate ticks. It generates a staircase approximations to sine waves. John Larkin\'s mode of thinking about what\'s going on is definitely a mess.

https://www.dropbox.com/s/1xx7sz1e5rg6jsi/JLDDS_100M_4K.jpg?raw=1

and it\'s very different at low frequencies.

The treads on the staircase are very close together - with 14-bit DAC there are 16,384 of them - and each one can sit there for a while.

So what?

--
Bill Sloman, Sydney
 
On 2022-08-16, whit3rd <whit3rd@gmail.com> wrote:
A smaller sine/cos table might be used with

sine(a+b) = sine(a) cos(b) + cos(a)sine(b)

as in, with small deviations \'b\' from major steps in the table, two multiplies and
an add give you 2^20 different accurate sines from a 2^10 size sine table.
Since cos(b) will always be near unity ( 1 plus order of 2^-20 when b is under 2^-10),
you can make that one multiply and an add. Perhaps that\'s what the \'phase
accumulator\' is for, estimating the \'b\'?

AKA \"CORDIC\"

--
Jasen.
 
On Wed, 17 Aug 2022 06:44:18 -0000 (UTC), Jasen Betts
<usenet@revmaps.no-ip.org> wrote:

On 2022-08-16, whit3rd <whit3rd@gmail.com> wrote:

A smaller sine/cos table might be used with

sine(a+b) = sine(a) cos(b) + cos(a)sine(b)

as in, with small deviations \'b\' from major steps in the table, two multiplies and
an add give you 2^20 different accurate sines from a 2^10 size sine table.
Since cos(b) will always be near unity ( 1 plus order of 2^-20 when b is under 2^-10),
you can make that one multiply and an add. Perhaps that\'s what the \'phase
accumulator\' is for, estimating the \'b\'?

AKA \"CORDIC\"

In an FPGA, one could have the basic sine table and an interpolation
slope table and maybe just add. Do the math at compile time, not run
time.

At some point, dac resolution becomes the limit, not sine table
resolution.
 
On Wednesday, August 17, 2022 at 11:58:31 PM UTC+10, jla...@highlandsniptechnology.com wrote:
On Wed, 17 Aug 2022 06:44:18 -0000 (UTC), Jasen Betts
use...@revmaps.no-ip.org> wrote:

On 2022-08-16, whit3rd <whi...@gmail.com> wrote:

A smaller sine/cos table might be used with

sine(a+b) = sine(a) cos(b) + cos(a)sine(b)

as in, with small deviations \'b\' from major steps in the table, two multiplies and
an add give you 2^20 different accurate sines from a 2^10 size sine table.
Since cos(b) will always be near unity ( 1 plus order of 2^-20 when b is under 2^-10),
you can make that one multiply and an add. Perhaps that\'s what the \'phase
accumulator\' is for, estimating the \'b\'?

AKA \"CORDIC\"

In an FPGA, one could have the basic sine table and an interpolation
slope table and maybe just add. Do the math at compile time, not run
time.

At some point, dac resolution becomes the limit, not sine table resolution.

It\'s always the limit.Getting the numbers precise enough to fully exploit the DAC you\'ve got is just putting enough digital hardware together to get long enough words. It may not be trivial, but it\'s always do-able.

Using the DAC sensibly to solve the problem that you\'ve got doesn\'t seem to be trivial either.

--
Bill Sloman, Sydney
 
On Tue, 16 Aug 2022 11:32:12 -0700, John Larkin
<jlarkin@highland_atwork_technology.com> wrote:

On Tue, 16 Aug 2022 13:46:32 -0400, Joe Gwinn <joegwinn@comcast.net
wrote:

On Mon, 15 Aug 2022 19:26:28 -0700, jlarkin@highlandsniptechnology.com
wrote:

On Mon, 15 Aug 2022 22:42:11 +0300, Dimiter_Popoff <dp@tgi-sci.com
wrote:

On 8/15/2022 17:17, jlarkin@highlandsniptechnology.com wrote:
On Mon, 15 Aug 2022 12:54:56 +0300, Dimiter_Popoff <dp@tgi-sci.com
wrote:

On 8/15/2022 1:41, Dimiter_Popoff wrote:
On 8/15/2022 1:08, jlarkin@highlandsniptechnology.com wrote:
On Mon, 15 Aug 2022 00:46:15 +0300, Dimiter_Popoff <dp@tgi-sci.com
wrote:

On 8/14/2022 17:14, jlarkin@highlandsniptechnology.com wrote:
On Sun, 14 Aug 2022 02:22:50 -0700 (PDT), Lasse Langwadt Christensen
langwadt@fonz.dk> wrote:

søndag den 14. august 2022 kl. 08.51.36 UTC+2 skrev bill....@ieee.org:
It strikes me that John Larkin\'s original idea of synthesising
trapezoids can be made to work.

You would still use a fast 14- or 16 bit DAC, but the waveform you
fed into your comparator would be made up of four sequential
components - all coming out of the DAC - high segment of arbitrary
length, a falling edge, a low segment, and a risng edge

With a 14-bit DAC - the LTC2000 comes to mind

https://www.analog.com/media/en/technical-documentation/data-sheets/2000fb.pdf


you\'d synthisese the rising and falling edges of the trapezia as
16-successive steps of a staircase waveform.

since it is for a trigger and the falling edge probably doesn\'t
matter, why not a single variable voltage step into a filter, sorta
like a time-to-amplitude in reverse

My question is basically whether one can DDS a non-sinusoidal waveform
to make a faster edge into a filter and comparator, to get better time
resolution, less jitter, at low frequencies.

I am only curious if I understand what you are after - is it some sort
of \"the larger the step the less low pass I want applied to it\"?

When synthesizing a low frequency DDS sine wave, we step slowly
through the waveform lookup table and a fixed filter doesn\'t
interpolate waveform steps any more; it settles every step.

So, is there a better waveform to use at low frequencies?


Hmmm. I get it now (though I don\'t get why this is a problem,
likely specific to your application). I don\'t know how one
waveform would be better for you that another, don\'t know
what it is you are doing (perhaps you said and I missed it,
I am not following closely).
A pretty complex way of dealing with the steps at low frequencies
is perhaps to have two DACs, one of them making the output filter
programmable so you can dynamically change it, based on step,
with some preemption etc., you get the idea - and I am not sure
it is practical, not only because it is complex but also because
I have never done this, I am just musing.

I missed the \"we step slowly\" in your post, now I get it.
Well, the simplest way out is to step at a constant rate all the
time.

I want to synthesize 1 mHz to 15 MHz, with a 100 MHz DDS clock. That
needs a sine lookup table with about 50 billion entries. And an
equally impossible DAC and comparator.

We\'ll probably wind up synthesizing the high range, an octave or so,
and divide down as needed. The trick will be to make the gear shifts
appear to be seamless.

That could get interesting.


I still don\'t understand what you are trying to do. Periodic sine
wave 1 to 15 MHz at 100 Msps is trivial, it takes a 100 entry sine
wave lookup table for the slowest case. If you want to switch by
operator action you have milliseconds of time to recalculate the table.
If you want to switch by some external gating you only need two
tables to switch between, this makes up to 200 entries.
This is all way too simple and obvious so you must be after something
more than that - which I haven\'t got yet.

I just want a programmable-frequency trigger generator that changes
frequency on demand and doesn\'t stop for reprogramming and doesn\'t
blow up someone\'s laser by generating any goofy triggers. In other
words, goes smoothly from F1 to F2.

With low period jitter from, say, 1 mHz to 15 Mhz.

mHz resolution is good too.

I guess I\'m not seeing the problem. Ordinary DDS units with 48-bit
accumulators can do just this, with phase continuity between the two
frequencies, so no glitches. People implement arbitrary
frequency-keyed waveforms this way.

The phase to trig converter typically uses only the upper 10 to 14
bits of the 48-bit accumulator. Converter implementations vary:
table-lookup and CORDIC being very common approaches.


One problem is that, at low frequencies, the LSB of that 10 to 14 bits
changes infrequently and the lowpass filter doesn\'t interpolate
multiple points any more. So one gets a lot of period jitter

Perhaps it\'s time to bring the various discussion threads together and
re-focus by restating the problem to be solved.

I\'ve stated it a few times: We want a perfect, programmable,
glitch-free, always right, low period jitter trigger clock.

It\'s an interesting problem.

If all you want to do is to generate a trigger at any frequency from
10^-3 Hz to 15*10^6 Hz in 10^-3 Hz steps, that is easily done in a
phase-only DDS topology (no trig conversion needed), which can be
implemented directly in a FPGA.

This is also known as a Numerically Controlled Oscillator:

..<https://en.wikipedia.org/wiki/Numerically-controlled_oscillator>

Our output would be point /M in Figure 1 in the above Wiki article.
(Never mind that M is actually a bit width in that figure.)

How big must the accumulator be? 15*10^6/10^-3 = 15*10^9 possible
frequencies. Log2[ 15*10^9 ] = 33.8 bits. There was also talk of
needing 50^10^9 steps, which would be 35.5 bits, minimum. In either
case, a 48-bit accumulator will work with room to spare.

If not, simply make the accumulator larger - 64 bits is also common.
One can also choose the clock rate for convenience given the chosen
accumulator length.

The trigger signal is when the accumulator rolls over. If the
Frequency Control Word is small, this will take some time. If large,
much faster.

Joe Gwinn
 
onsdag den 17. august 2022 kl. 19.02.50 UTC+2 skrev Joe Gwinn:
On Tue, 16 Aug 2022 11:32:12 -0700, John Larkin
jlarkin@highland_atwork_technology.com> wrote:

On Tue, 16 Aug 2022 13:46:32 -0400, Joe Gwinn <joeg...@comcast.net
wrote:

On Mon, 15 Aug 2022 19:26:28 -0700, jla...@highlandsniptechnology.com
wrote:

On Mon, 15 Aug 2022 22:42:11 +0300, Dimiter_Popoff <d...@tgi-sci.com
wrote:

On 8/15/2022 17:17, jla...@highlandsniptechnology.com wrote:
On Mon, 15 Aug 2022 12:54:56 +0300, Dimiter_Popoff <d...@tgi-sci.com
wrote:

On 8/15/2022 1:41, Dimiter_Popoff wrote:
On 8/15/2022 1:08, jla...@highlandsniptechnology.com wrote:
On Mon, 15 Aug 2022 00:46:15 +0300, Dimiter_Popoff <d...@tgi-sci..com
wrote:

On 8/14/2022 17:14, jla...@highlandsniptechnology.com wrote:
On Sun, 14 Aug 2022 02:22:50 -0700 (PDT), Lasse Langwadt Christensen
lang...@fonz.dk> wrote:

sųndag den 14. august 2022 kl. 08.51.36 UTC+2 skrev bill.....@ieee.org:
It strikes me that John Larkin\'s original idea of synthesising
trapezoids can be made to work.

You would still use a fast 14- or 16 bit DAC, but the waveform you
fed into your comparator would be made up of four sequential
components - all coming out of the DAC - high segment of arbitrary
length, a falling edge, a low segment, and a risng edge

With a 14-bit DAC - the LTC2000 comes to mind

https://www.analog.com/media/en/technical-documentation/data-sheets/2000fb.pdf


you\'d synthisese the rising and falling edges of the trapezia as
16-successive steps of a staircase waveform.

since it is for a trigger and the falling edge probably doesn\'t
matter, why not a single variable voltage step into a filter, sorta
like a time-to-amplitude in reverse

My question is basically whether one can DDS a non-sinusoidal waveform
to make a faster edge into a filter and comparator, to get better time
resolution, less jitter, at low frequencies.

I am only curious if I understand what you are after - is it some sort
of \"the larger the step the less low pass I want applied to it\"?

When synthesizing a low frequency DDS sine wave, we step slowly
through the waveform lookup table and a fixed filter doesn\'t
interpolate waveform steps any more; it settles every step.

So, is there a better waveform to use at low frequencies?


Hmmm. I get it now (though I don\'t get why this is a problem,
likely specific to your application). I don\'t know how one
waveform would be better for you that another, don\'t know
what it is you are doing (perhaps you said and I missed it,
I am not following closely).
A pretty complex way of dealing with the steps at low frequencies
is perhaps to have two DACs, one of them making the output filter
programmable so you can dynamically change it, based on step,
with some preemption etc., you get the idea - and I am not sure
it is practical, not only because it is complex but also because
I have never done this, I am just musing.

I missed the \"we step slowly\" in your post, now I get it.
Well, the simplest way out is to step at a constant rate all the
time.

I want to synthesize 1 mHz to 15 MHz, with a 100 MHz DDS clock. That
needs a sine lookup table with about 50 billion entries. And an
equally impossible DAC and comparator.

We\'ll probably wind up synthesizing the high range, an octave or so,
and divide down as needed. The trick will be to make the gear shifts
appear to be seamless.

That could get interesting.


I still don\'t understand what you are trying to do. Periodic sine
wave 1 to 15 MHz at 100 Msps is trivial, it takes a 100 entry sine
wave lookup table for the slowest case. If you want to switch by
operator action you have milliseconds of time to recalculate the table.
If you want to switch by some external gating you only need two
tables to switch between, this makes up to 200 entries.
This is all way too simple and obvious so you must be after something
more than that - which I haven\'t got yet.

I just want a programmable-frequency trigger generator that changes
frequency on demand and doesn\'t stop for reprogramming and doesn\'t
blow up someone\'s laser by generating any goofy triggers. In other
words, goes smoothly from F1 to F2.

With low period jitter from, say, 1 mHz to 15 Mhz.

mHz resolution is good too.

I guess I\'m not seeing the problem. Ordinary DDS units with 48-bit
accumulators can do just this, with phase continuity between the two
frequencies, so no glitches. People implement arbitrary
frequency-keyed waveforms this way.

The phase to trig converter typically uses only the upper 10 to 14
bits of the 48-bit accumulator. Converter implementations vary:
table-lookup and CORDIC being very common approaches.


One problem is that, at low frequencies, the LSB of that 10 to 14 bits
changes infrequently and the lowpass filter doesn\'t interpolate
multiple points any more. So one gets a lot of period jitter

Perhaps it\'s time to bring the various discussion threads together and
re-focus by restating the problem to be solved.

I\'ve stated it a few times: We want a perfect, programmable,
glitch-free, always right, low period jitter trigger clock.

It\'s an interesting problem.
If all you want to do is to generate a trigger at any frequency from
10^-3 Hz to 15*10^6 Hz in 10^-3 Hz steps, that is easily done in a
phase-only DDS topology (no trig conversion needed), which can be
implemented directly in a FPGA.

This is also known as a Numerically Controlled Oscillator:

.<https://en.wikipedia.org/wiki/Numerically-controlled_oscillator

Our output would be point /M in Figure 1 in the above Wiki article.
(Never mind that M is actually a bit width in that figure.)

How big must the accumulator be? 15*10^6/10^-3 = 15*10^9 possible
frequencies. Log2[ 15*10^9 ] = 33.8 bits. There was also talk of
needing 50^10^9 steps, which would be 35.5 bits, minimum. In either
case, a 48-bit accumulator will work with room to spare.

If not, simply make the accumulator larger - 64 bits is also common.
One can also choose the clock rate for convenience given the chosen
accumulator length.

The trigger signal is when the accumulator rolls over. If the

did you miss the whole discussion?

doing that with say a 100MHz clock give you 10ns jitter, which might be ok low frequency, but terrible at 15MHz
 
On Wed, 17 Aug 2022 11:15:06 -0700 (PDT), Lasse Langwadt Christensen
<langwadt@fonz.dk> wrote:

onsdag den 17. august 2022 kl. 19.02.50 UTC+2 skrev Joe Gwinn:
On Tue, 16 Aug 2022 11:32:12 -0700, John Larkin
jlarkin@highland_atwork_technology.com> wrote:

On Tue, 16 Aug 2022 13:46:32 -0400, Joe Gwinn <joeg...@comcast.net
wrote:

On Mon, 15 Aug 2022 19:26:28 -0700, jla...@highlandsniptechnology.com
wrote:

On Mon, 15 Aug 2022 22:42:11 +0300, Dimiter_Popoff <d...@tgi-sci.com
wrote:

On 8/15/2022 17:17, jla...@highlandsniptechnology.com wrote:
On Mon, 15 Aug 2022 12:54:56 +0300, Dimiter_Popoff <d...@tgi-sci.com
wrote:

On 8/15/2022 1:41, Dimiter_Popoff wrote:
On 8/15/2022 1:08, jla...@highlandsniptechnology.com wrote:
On Mon, 15 Aug 2022 00:46:15 +0300, Dimiter_Popoff <d...@tgi-sci.com
wrote:

On 8/14/2022 17:14, jla...@highlandsniptechnology.com wrote:
On Sun, 14 Aug 2022 02:22:50 -0700 (PDT), Lasse Langwadt Christensen
lang...@fonz.dk> wrote:

s?ndag den 14. august 2022 kl. 08.51.36 UTC+2 skrev bill....@ieee.org:
It strikes me that John Larkin\'s original idea of synthesising
trapezoids can be made to work.

You would still use a fast 14- or 16 bit DAC, but the waveform you
fed into your comparator would be made up of four sequential
components - all coming out of the DAC - high segment of arbitrary
length, a falling edge, a low segment, and a risng edge

With a 14-bit DAC - the LTC2000 comes to mind

https://www.analog.com/media/en/technical-documentation/data-sheets/2000fb.pdf


you\'d synthisese the rising and falling edges of the trapezia as
16-successive steps of a staircase waveform.

since it is for a trigger and the falling edge probably doesn\'t
matter, why not a single variable voltage step into a filter, sorta
like a time-to-amplitude in reverse

My question is basically whether one can DDS a non-sinusoidal waveform
to make a faster edge into a filter and comparator, to get better time
resolution, less jitter, at low frequencies.

I am only curious if I understand what you are after - is it some sort
of \"the larger the step the less low pass I want applied to it\"?

When synthesizing a low frequency DDS sine wave, we step slowly
through the waveform lookup table and a fixed filter doesn\'t
interpolate waveform steps any more; it settles every step.

So, is there a better waveform to use at low frequencies?


Hmmm. I get it now (though I don\'t get why this is a problem,
likely specific to your application). I don\'t know how one
waveform would be better for you that another, don\'t know
what it is you are doing (perhaps you said and I missed it,
I am not following closely).
A pretty complex way of dealing with the steps at low frequencies
is perhaps to have two DACs, one of them making the output filter
programmable so you can dynamically change it, based on step,
with some preemption etc., you get the idea - and I am not sure
it is practical, not only because it is complex but also because
I have never done this, I am just musing.

I missed the \"we step slowly\" in your post, now I get it.
Well, the simplest way out is to step at a constant rate all the
time.

I want to synthesize 1 mHz to 15 MHz, with a 100 MHz DDS clock. That
needs a sine lookup table with about 50 billion entries. And an
equally impossible DAC and comparator.

We\'ll probably wind up synthesizing the high range, an octave or so,
and divide down as needed. The trick will be to make the gear shifts
appear to be seamless.

That could get interesting.


I still don\'t understand what you are trying to do. Periodic sine
wave 1 to 15 MHz at 100 Msps is trivial, it takes a 100 entry sine
wave lookup table for the slowest case. If you want to switch by
operator action you have milliseconds of time to recalculate the table.
If you want to switch by some external gating you only need two
tables to switch between, this makes up to 200 entries.
This is all way too simple and obvious so you must be after something
more than that - which I haven\'t got yet.

I just want a programmable-frequency trigger generator that changes
frequency on demand and doesn\'t stop for reprogramming and doesn\'t
blow up someone\'s laser by generating any goofy triggers. In other
words, goes smoothly from F1 to F2.

With low period jitter from, say, 1 mHz to 15 Mhz.

mHz resolution is good too.

I guess I\'m not seeing the problem. Ordinary DDS units with 48-bit
accumulators can do just this, with phase continuity between the two
frequencies, so no glitches. People implement arbitrary
frequency-keyed waveforms this way.

The phase to trig converter typically uses only the upper 10 to 14
bits of the 48-bit accumulator. Converter implementations vary:
table-lookup and CORDIC being very common approaches.


One problem is that, at low frequencies, the LSB of that 10 to 14 bits
changes infrequently and the lowpass filter doesn\'t interpolate
multiple points any more. So one gets a lot of period jitter

Perhaps it\'s time to bring the various discussion threads together and
re-focus by restating the problem to be solved.

I\'ve stated it a few times: We want a perfect, programmable,
glitch-free, always right, low period jitter trigger clock.

It\'s an interesting problem.
If all you want to do is to generate a trigger at any frequency from
10^-3 Hz to 15*10^6 Hz in 10^-3 Hz steps, that is easily done in a
phase-only DDS topology (no trig conversion needed), which can be
implemented directly in a FPGA.

This is also known as a Numerically Controlled Oscillator:

.<https://en.wikipedia.org/wiki/Numerically-controlled_oscillator

Our output would be point /M in Figure 1 in the above Wiki article.
(Never mind that M is actually a bit width in that figure.)

How big must the accumulator be? 15*10^6/10^-3 = 15*10^9 possible
frequencies. Log2[ 15*10^9 ] = 33.8 bits. There was also talk of
needing 50^10^9 steps, which would be 35.5 bits, minimum. In either
case, a 48-bit accumulator will work with room to spare.

If not, simply make the accumulator larger - 64 bits is also common.
One can also choose the clock rate for convenience given the chosen
accumulator length.

The trigger signal is when the accumulator rolls over. If the

did you miss the whole discussion?

doing that with say a 100MHz clock give you 10ns jitter, which might be ok low frequency, but terrible at 15MHz

The lowpass filter, between the DAC and the comparator, smooths the
samples and reduces the jitter to picoseconds.

https://www.dropbox.com/s/1xx7sz1e5rg6jsi/JLDDS_100M_4K.jpg?raw=1

The real jitter problem is at low frequencies where the filter doesn\'t
help much.

I was doodling a lowpass filter that is sort of adaptive, to help the
low-end jitter. Mr Shannon was a nice guy, but we aren\'t trying to
reproduce a signal, we just want to make a clock.
 
On Wednesday, August 17, 2022 at 12:07:20 PM UTC-7, jla...@highlandsniptechnology.com wrote:

The real jitter problem is at low frequencies where the filter doesn\'t
help much.

I was doodling a lowpass filter that is sort of adaptive, to help the
low-end jitter.

By \'doodling\', I trust you mean that the tracking filter isn\'t looking
like a good solution.

Mr Shannon was a nice guy, but we aren\'t trying to
reproduce a signal, we just want to make a clock.

Oh, no, you already HAVE a clock, what you want is a derived
infinitely-adjustable variable clock based on that digital clock source.

An easy way, is to use integer-ratio phase locking to
the master clock to generate a digitally adjustable clock#2,
for coarse adjustments, and use a sinewave variable oscillator
(yeah, LC and varactor or moving parts) which can be metered by the master clock
and fine-adjusted, then with a diode mixer combine the two.

One discrete-time oscillator and one infinitely-adjustable oscillator, and a mixer.
Follow up with an IF-style filter to make sinewaves, then amplifier to make \'em square.
\'Tracking filter\' functionality is exactly the LC oscillator feature that a totally digital
system is missing, and gives you the ability to fill in the gaps in an N/M synthesis.

Mr. Shannon assures us that there will be jitter, as does quantum mechanics, and
thermodynamics. Making it small enough is your only option; frequency, for instance,
is UNDEFINED mathematically, except for long time scales (it isn\'t just warmup time
that makes a precise frequency measurement of long duration).
 
onsdag den 17. august 2022 kl. 21.07.20 UTC+2 skrev jla...@highlandsniptechnology.com:
On Wed, 17 Aug 2022 11:15:06 -0700 (PDT), Lasse Langwadt Christensen
lang...@fonz.dk> wrote:

onsdag den 17. august 2022 kl. 19.02.50 UTC+2 skrev Joe Gwinn:
On Tue, 16 Aug 2022 11:32:12 -0700, John Larkin
jlarkin@highland_atwork_technology.com> wrote:

On Tue, 16 Aug 2022 13:46:32 -0400, Joe Gwinn <joeg...@comcast.net
wrote:

On Mon, 15 Aug 2022 19:26:28 -0700, jla...@highlandsniptechnology.com
wrote:

On Mon, 15 Aug 2022 22:42:11 +0300, Dimiter_Popoff <d...@tgi-sci.com
wrote:

On 8/15/2022 17:17, jla...@highlandsniptechnology.com wrote:
On Mon, 15 Aug 2022 12:54:56 +0300, Dimiter_Popoff <d...@tgi-sci.com
wrote:

On 8/15/2022 1:41, Dimiter_Popoff wrote:
On 8/15/2022 1:08, jla...@highlandsniptechnology.com wrote:
On Mon, 15 Aug 2022 00:46:15 +0300, Dimiter_Popoff <d...@tgi-sci.com
wrote:

On 8/14/2022 17:14, jla...@highlandsniptechnology.com wrote:
On Sun, 14 Aug 2022 02:22:50 -0700 (PDT), Lasse Langwadt Christensen
lang...@fonz.dk> wrote:

s?ndag den 14. august 2022 kl. 08.51.36 UTC+2 skrev bill....@ieee.org:
It strikes me that John Larkin\'s original idea of synthesising
trapezoids can be made to work.

You would still use a fast 14- or 16 bit DAC, but the waveform you
fed into your comparator would be made up of four sequential
components - all coming out of the DAC - high segment of arbitrary
length, a falling edge, a low segment, and a risng edge

With a 14-bit DAC - the LTC2000 comes to mind

https://www.analog.com/media/en/technical-documentation/data-sheets/2000fb.pdf


you\'d synthisese the rising and falling edges of the trapezia as
16-successive steps of a staircase waveform.

since it is for a trigger and the falling edge probably doesn\'t
matter, why not a single variable voltage step into a filter, sorta
like a time-to-amplitude in reverse

My question is basically whether one can DDS a non-sinusoidal waveform
to make a faster edge into a filter and comparator, to get better time
resolution, less jitter, at low frequencies.

I am only curious if I understand what you are after - is it some sort
of \"the larger the step the less low pass I want applied to it\"?

When synthesizing a low frequency DDS sine wave, we step slowly
through the waveform lookup table and a fixed filter doesn\'t
interpolate waveform steps any more; it settles every step.

So, is there a better waveform to use at low frequencies?


Hmmm. I get it now (though I don\'t get why this is a problem,
likely specific to your application). I don\'t know how one
waveform would be better for you that another, don\'t know
what it is you are doing (perhaps you said and I missed it,
I am not following closely).
A pretty complex way of dealing with the steps at low frequencies
is perhaps to have two DACs, one of them making the output filter
programmable so you can dynamically change it, based on step,
with some preemption etc., you get the idea - and I am not sure
it is practical, not only because it is complex but also because
I have never done this, I am just musing.

I missed the \"we step slowly\" in your post, now I get it.
Well, the simplest way out is to step at a constant rate all the
time.

I want to synthesize 1 mHz to 15 MHz, with a 100 MHz DDS clock. That
needs a sine lookup table with about 50 billion entries. And an
equally impossible DAC and comparator.

We\'ll probably wind up synthesizing the high range, an octave or so,
and divide down as needed. The trick will be to make the gear shifts
appear to be seamless.

That could get interesting.


I still don\'t understand what you are trying to do. Periodic sine
wave 1 to 15 MHz at 100 Msps is trivial, it takes a 100 entry sine
wave lookup table for the slowest case. If you want to switch by
operator action you have milliseconds of time to recalculate the table.
If you want to switch by some external gating you only need two
tables to switch between, this makes up to 200 entries.
This is all way too simple and obvious so you must be after something
more than that - which I haven\'t got yet.

I just want a programmable-frequency trigger generator that changes
frequency on demand and doesn\'t stop for reprogramming and doesn\'t
blow up someone\'s laser by generating any goofy triggers. In other
words, goes smoothly from F1 to F2.

With low period jitter from, say, 1 mHz to 15 Mhz.

mHz resolution is good too.

I guess I\'m not seeing the problem. Ordinary DDS units with 48-bit
accumulators can do just this, with phase continuity between the two
frequencies, so no glitches. People implement arbitrary
frequency-keyed waveforms this way.

The phase to trig converter typically uses only the upper 10 to 14
bits of the 48-bit accumulator. Converter implementations vary:
table-lookup and CORDIC being very common approaches.


One problem is that, at low frequencies, the LSB of that 10 to 14 bits
changes infrequently and the lowpass filter doesn\'t interpolate
multiple points any more. So one gets a lot of period jitter

Perhaps it\'s time to bring the various discussion threads together and
re-focus by restating the problem to be solved.

I\'ve stated it a few times: We want a perfect, programmable,
glitch-free, always right, low period jitter trigger clock.

It\'s an interesting problem.
If all you want to do is to generate a trigger at any frequency from
10^-3 Hz to 15*10^6 Hz in 10^-3 Hz steps, that is easily done in a
phase-only DDS topology (no trig conversion needed), which can be
implemented directly in a FPGA.

This is also known as a Numerically Controlled Oscillator:

.<https://en.wikipedia.org/wiki/Numerically-controlled_oscillator

Our output would be point /M in Figure 1 in the above Wiki article.
(Never mind that M is actually a bit width in that figure.)

How big must the accumulator be? 15*10^6/10^-3 = 15*10^9 possible
frequencies. Log2[ 15*10^9 ] = 33.8 bits. There was also talk of
needing 50^10^9 steps, which would be 35.5 bits, minimum. In either
case, a 48-bit accumulator will work with room to spare.

If not, simply make the accumulator larger - 64 bits is also common.
One can also choose the clock rate for convenience given the chosen
accumulator length.

The trigger signal is when the accumulator rolls over. If the

did you miss the whole discussion?

doing that with say a 100MHz clock give you 10ns jitter, which might be ok low frequency, but terrible at 15MHz


The lowpass filter, between the DAC and the comparator, smooths the
samples and reduces the jitter to picoseconds.

sure but not if you make the square wave directly from the MSB of the accumulator with no DAC

https://www.dropbox.com/s/1xx7sz1e5rg6jsi/JLDDS_100M_4K.jpg?raw=1

The real jitter problem is at low frequencies where the filter doesn\'t
help much.

you could also question how much 10ns of jitter matters on a 1Hz signal, it\'s 10ppb
how accurate is the oscillator over a second?
 

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