Linearily of Derivative Circuits At High Frequency

B

Bret Cahill

Guest
To get to a higher frequency, is it possible to just use a smaller cap
and/or resistor on op amp derivative taking circuits?


Bret Cahill
 
On 08/05/2010 04:39 PM, Bret Cahill wrote:
To get to a higher frequency, is it possible to just use a smaller cap
and/or resistor on op amp derivative taking circuits?

Only to a point -- then your performance is limited by the op-amp.

--

Tim Wescott
Wescott Design Services
http://www.wescottdesign.com

Do you need to implement control loops in software?
"Applied Control Theory for Embedded Systems" was written for you.
See details at http://www.wescottdesign.com/actfes/actfes.html
 
On Thu, 5 Aug 2010 16:39:25 -0700 (PDT), Bret Cahill
<BretCahill@peoplepc.com> wrote:

To get to a higher frequency, is it possible to just use a smaller cap
and/or resistor on op amp derivative taking circuits?

What do you mean by "get to a higher frequency"? Do you mean "continue
to be accurate at a higher signal frequency"?

The size of the cap scales the constant K in

OUT = K * (dIN/dt)

but has nothing to do with how high a frequency the circuit will work
at. The opamp determines that.

The "pure" opamp differentiator, just a cap, a resistor, and an opamp,
seldom works. It tends to be unstable and oscillate.

Interestingly, its dual, the opamp integrator, has problems of its
own.

Do you have any specific performance goals in mind?

John
 
To get to a higher frequency, is it possible to just use a smaller cap
and/or resistor on op amp derivative taking circuits?

Only to a point -- then your performance is limited by the op-amp.

Thanks.


Tim Wescott
Wescott Design Serviceshttp://www.wescottdesign.com

Do you need to implement control loops in software?
"Applied Control Theory for Embedded Systems" was written for you.
See details athttp://www.wescottdesign.com/actfes/actfes.html
 
To get to a higher frequency, is it possible to just use a smaller cap
and/or resistor on op amp derivative taking circuits?

What do you mean by "get to a higher frequency"? Do you mean "continue
to be accurate at a higher signal frequency"?

The size of the cap scales the constant K in

OUT = K * (dIN/dt)

but has nothing to do with how high a frequency the circuit will work
at. The opamp determines that.

The "pure" opamp differentiator, just a cap, a resistor, and an opamp,
seldom works. It tends to be unstable and oscillate.

Interestingly, its dual, the opamp integrator, has problems of its
own.

Do you have any specific performance goals in mind?
The derivative circuit needs to be linear to < +/- 1% over a range of
frequencies.

One solution is to move everything to lower frequencies which takes a
lot more time limiting use of the computer for hours/run. There's no
reason why SPICE calculations should take more time at low than high
frequencies. The time/step setting doesn't seem to help.

Is there any on line calculator that uses a faster computer?


Bret Cahill
 
On Sat, 7 Aug 2010 09:59:59 -0700 (PDT), Bret Cahill
<BretCahill@peoplepc.com> wrote:

To get to a higher frequency, is it possible to just use a smaller cap
and/or resistor on op amp derivative taking circuits?

What do you mean by "get to a higher frequency"? Do you mean "continue
to be accurate at a higher signal frequency"?

The size of the cap scales the constant K in

OUT = K * (dIN/dt)

but has nothing to do with how high a frequency the circuit will work
at. The opamp determines that.

The "pure" opamp differentiator, just a cap, a resistor, and an opamp,
seldom works. It tends to be unstable and oscillate.

Interestingly, its dual, the opamp integrator, has problems of its
own.

Do you have any specific performance goals in mind?

The derivative circuit needs to be linear to < +/- 1% over a range of
frequencies.
What range?

John



One solution is to move everything to lower frequencies which takes a
lot more time limiting use of the computer for hours/run. There's no
reason why SPICE calculations should take more time at low than high
frequencies. The time/step setting doesn't seem to help.
Spice gets slow if there is a very wide range of time constants in a
circuit. It also slows down a lot if you use semiconductor models of
things like opamps. Behavioral models are faster. Ideal models are
fastest.

The fastest way to analyze most circuits is to not use Spice at all.

John
 
On Sat, 07 Aug 2010 12:24:14 -0700, John Larkin <jjlarkin@highNOTlandTHIStechnologyPART.com> wrote:

On Sat, 7 Aug 2010 09:59:59 -0700 (PDT), Bret Cahill
BretCahill@peoplepc.com> wrote:

To get to a higher frequency, is it possible to just use a smaller cap
and/or resistor on op amp derivative taking circuits?

What do you mean by "get to a higher frequency"? Do you mean "continue
to be accurate at a higher signal frequency"?

The size of the cap scales the constant K in

OUT = K * (dIN/dt)

but has nothing to do with how high a frequency the circuit will work
at. The opamp determines that.

The "pure" opamp differentiator, just a cap, a resistor, and an opamp,
seldom works. It tends to be unstable and oscillate.

Interestingly, its dual, the opamp integrator, has problems of its
own.

Do you have any specific performance goals in mind?

The derivative circuit needs to be linear to < +/- 1% over a range of
frequencies.

What range?

John




One solution is to move everything to lower frequencies which takes a
lot more time limiting use of the computer for hours/run. There's no
reason why SPICE calculations should take more time at low than high
frequencies. The time/step setting doesn't seem to help.

Spice gets slow if there is a very wide range of time constants in a
circuit. It also slows down a lot if you use semiconductor models of
things like opamps. Behavioral models are faster. Ideal models are
fastest.

The fastest way to analyze most circuits is to not use Spice at all.
But that requires an imagination, no? Does growing up with Gameboys
and hi-tech toys stifle imagination or something? Or modern schooling
says you hafta simulate?

Grant.
 
On Aug 7, 12:12 pm, John Larkin
<jjlar...@highNOTlandTHIStechnologyPART.com> wrote:
On Thu, 5 Aug 2010 16:39:25 -0700 (PDT), Bret Cahill

BretCah...@peoplepc.com> wrote:
To get to a higher frequency, is it possible to just use a smaller cap
and/or resistor on op amp derivative taking circuits?

What do you mean by "get to a higher frequency"? Do you mean "continue
to be accurate at a higher signal frequency"?

The size of the cap scales the constant K in

OUT = K * (dIN/dt)

but has nothing to do with how high a frequency the circuit will work
at. The opamp determines that.

The "pure" opamp differentiator, just a cap, a resistor, and an opamp,
seldom works. It tends to be unstable and oscillate.

Interestingly, its dual, the opamp integrator, has problems of its
own.

Do you have any specific performance goals in mind?

John
What problems do you see with an integrator? These always seem to
work just fine for me.
I find the State Variable filter a bit 'scary'. Whoever first
thought of putting to integrators in a row had a lot of 'guts'. But I
love the outcome.

George H.
 
To get to a higher frequency, is it possible to just use a smaller cap
and/or resistor on op amp derivative taking circuits?

What do you mean by "get to a higher frequency"? Do you mean "continue
to be accurate at a higher signal frequency"?

The size of the cap scales the constant K in

OUT = K * (dIN/dt)

but has nothing to do with how high a frequency the circuit will work
at. The opamp determines that.

The "pure" opamp differentiator, just a cap, a resistor, and an opamp,
seldom works. It tends to be unstable and oscillate.

Interestingly, its dual, the opamp integrator, has problems of its
own.

Do you have any specific performance goals in mind?

The derivative circuit needs to be linear to < +/- 1% over a range of
frequencies.

What range?
A couple of decades.

One solution is to move everything to lower frequencies which takes a
lot more time limiting use of the computer for hours/run.  There's no
reason why SPICE calculations should take more time at low than high
frequencies.  The time/step setting doesn't seem to help.

Spice gets slow if there is a very wide range of time constants in a
circuit. It also slows down a lot if you use semiconductor models of
things like opamps. Behavioral models are faster. Ideal models are
fastest.
Thanks.

The fastest way to analyze most circuits is to not use Spice at all.
It's valuable as a double check.


Bret Cahill
 
On Sat, 7 Aug 2010 14:21:17 -0700 (PDT), Bret Cahill
<BretCahill@peoplepc.com> wrote:

To get to a higher frequency, is it possible to just use a smaller cap
and/or resistor on op amp derivative taking circuits?

What do you mean by "get to a higher frequency"? Do you mean "continue
to be accurate at a higher signal frequency"?

The size of the cap scales the constant K in

OUT = K * (dIN/dt)

but has nothing to do with how high a frequency the circuit will work
at. The opamp determines that.

The "pure" opamp differentiator, just a cap, a resistor, and an opamp,
seldom works. It tends to be unstable and oscillate.

Interestingly, its dual, the opamp integrator, has problems of its
own.

Do you have any specific performance goals in mind?

The derivative circuit needs to be linear to < +/- 1% over a range of
frequencies.

What range?

A couple of decades.

Ok, lets keep playing this game.

WHICH decades?

John
 
"George Herold" <ggherold@gmail.com> wrote in message
news:52298b1c-8753-4a63-b795-e01e1a109268@d8g2000yqf.googlegroups.com...
On Aug 7, 12:12 pm, John Larkin
jjlar...@highNOTlandTHIStechnologyPART.com> wrote:
On Thu, 5 Aug 2010 16:39:25 -0700 (PDT), Bret Cahill

BretCah...@peoplepc.com> wrote:
To get to a higher frequency, is it possible to just use a smaller cap
and/or resistor on op amp derivative taking circuits?

What do you mean by "get to a higher frequency"? Do you mean "continue
to be accurate at a higher signal frequency"?

The size of the cap scales the constant K in

OUT = K * (dIN/dt)

but has nothing to do with how high a frequency the circuit will work
at. The opamp determines that.

The "pure" opamp differentiator, just a cap, a resistor, and an opamp,
seldom works. It tends to be unstable and oscillate.

Interestingly, its dual, the opamp integrator, has problems of its
own.

Do you have any specific performance goals in mind?

John

What problems do you see with an integrator? These always seem to
work just fine for me.
I find the State Variable filter a bit 'scary'. Whoever first
thought of putting to integrators in a row had a lot of 'guts'. But I
love the outcome.
There are issues with dc offsets. If your signal has a dc offset then that
will get integrated over time successfully reducing your headroom.

e.g., In(t) = dc + f(t), Out(t) = dc*t + F(t). It may work fine for some
initial amount of time but eventually won't function at all. This is true
for all integrators and this is where choppers come into play.
 
To get to a higher frequency, is it possible to just use a smaller cap
and/or resistor on op amp derivative taking circuits?

What do you mean by "get to a higher frequency"? Do you mean "continue
to be accurate at a higher signal frequency"?

The size of the cap scales the constant K in

OUT = K * (dIN/dt)

but has nothing to do with how high a frequency the circuit will work
at. The opamp determines that.

The "pure" opamp differentiator, just a cap, a resistor, and an opamp,
seldom works. It tends to be unstable and oscillate.

Interestingly, its dual, the opamp integrator, has problems of its
own.

Do you have any specific performance goals in mind?

The derivative circuit needs to be linear to < +/- 1% over a range of
frequencies.

What range?

A couple of decades.

Ok, lets keep playing this game.

WHICH decades?
Any two that are next to each other.

The problem may have been coming from some other part of the circuit.
Everything was below 100 hz.


Bret Cahill
 
On Sat, 7 Aug 2010 13:14:41 -0700 (PDT), George Herold
<ggherold@gmail.com> wrote:

On Aug 7, 12:12 pm, John Larkin
jjlar...@highNOTlandTHIStechnologyPART.com> wrote:
On Thu, 5 Aug 2010 16:39:25 -0700 (PDT), Bret Cahill

BretCah...@peoplepc.com> wrote:
To get to a higher frequency, is it possible to just use a smaller cap
and/or resistor on op amp derivative taking circuits?

What do you mean by "get to a higher frequency"? Do you mean "continue
to be accurate at a higher signal frequency"?

The size of the cap scales the constant K in

OUT = K * (dIN/dt)

but has nothing to do with how high a frequency the circuit will work
at. The opamp determines that.

The "pure" opamp differentiator, just a cap, a resistor, and an opamp,
seldom works. It tends to be unstable and oscillate.

Interestingly, its dual, the opamp integrator, has problems of its
own.

Do you have any specific performance goals in mind?

John

What problems do you see with an integrator? These always seem to
work just fine for me.
They integrate their own voltage offset and bias current, of course.
For something like a magnetic field probe coil, that gets to be the
dominant error. Some cute periodic auto-zero becomes necessary.
Chopper amps are great, but noisy.

I find the State Variable filter a bit 'scary'. Whoever first
thought of putting to integrators in a row had a lot of 'guts'. But I
love the outcome.
We're just finishing up a product that jams 32 brutaly-pipelined
8-pole lowpass filters into one FPGA, sample rate 500 KHz per channel.
The cutoff range is 50 KHz down to 1 Hz, and original concept, classic
DSP butterfly stages, blew up mathematically. At 1 Hz we had allowable
coefficients errors like one part in 10^40, and 2-pole stage gains
like 10^17. This wasn't good. I suggested simulating a state-variable
lowpass digitally, and that worked, using the 48 bit MACs in the
Xilinx FPGA. The nice thing about state-variable filters is that you
can make the 2-pole stage gains exactly 1, and the coefficients scale
pretty much linearly on frequency.

I like SV analog filters, but sometimes a Sallen-Key is better,
because the DC gain is 1 and doesn't depend on resistor accuracy.

John
 
On Aug 8, 2:42 pm, "Jeff Johnson" <Jeff_John...@Hotmail.com> wrote:
"George Herold" <ggher...@gmail.com> wrote in message

news:52298b1c-8753-4a63-b795-e01e1a109268@d8g2000yqf.googlegroups.com...





On Aug 7, 12:12 pm, John Larkin
jjlar...@highNOTlandTHIStechnologyPART.com> wrote:
On Thu, 5 Aug 2010 16:39:25 -0700 (PDT), Bret Cahill

BretCah...@peoplepc.com> wrote:
To get to a higher frequency, is it possible to just use a smaller cap
and/or resistor on op amp derivative taking circuits?

What do you mean by "get to a higher frequency"? Do you mean "continue
to be accurate at a higher signal frequency"?

The size of the cap scales the constant K in

OUT = K * (dIN/dt)

but has nothing to do with how high a frequency the circuit will work
at. The opamp determines that.

The "pure" opamp differentiator, just a cap, a resistor, and an opamp,
seldom works. It tends to be unstable and oscillate.

Interestingly, its dual, the opamp integrator, has problems of its
own.

Do you have any specific performance goals in mind?

John

What problems do you see with an integrator?  These always seem to
work just fine for me.
I find the State Variable filter a bit 'scary'.  Whoever first
thought of putting to integrators in a row had a lot of 'guts'.  But I
love the outcome.

There are issues with dc offsets. If your signal has a dc offset then that
will get integrated over time successfully reducing your headroom.

e.g., In(t) = dc + f(t), Out(t) = dc*t + F(t).  It may work fine for some
initial amount of time but eventually won't function at all. This is true
for all integrators and this is where choppers come into play.
Yeah, I forgot about that. Lately I've only been using integrators
that are inside a control loop. So the DC offset is not an issue.

George H.
 
On Aug 8, 4:41 pm, John Larkin
<jjlar...@highNOTlandTHIStechnologyPART.com> wrote:
On Sat, 7 Aug 2010 13:14:41 -0700 (PDT), George Herold





ggher...@gmail.com> wrote:
On Aug 7, 12:12 pm, John Larkin
jjlar...@highNOTlandTHIStechnologyPART.com> wrote:
On Thu, 5 Aug 2010 16:39:25 -0700 (PDT), Bret Cahill

BretCah...@peoplepc.com> wrote:
To get to a higher frequency, is it possible to just use a smaller cap
and/or resistor on op amp derivative taking circuits?

What do you mean by "get to a higher frequency"? Do you mean "continue
to be accurate at a higher signal frequency"?

The size of the cap scales the constant K in

OUT = K * (dIN/dt)

but has nothing to do with how high a frequency the circuit will work
at. The opamp determines that.

The "pure" opamp differentiator, just a cap, a resistor, and an opamp,
seldom works. It tends to be unstable and oscillate.

Interestingly, its dual, the opamp integrator, has problems of its
own.

Do you have any specific performance goals in mind?

John

What problems do you see with an integrator?  These always seem to
work just fine for me.

They integrate their own voltage offset and bias current, of course.
For something like a magnetic field probe coil, that gets to be the
dominant error. Some cute periodic auto-zero becomes necessary.
Chopper amps are great, but noisy.

I find the State Variable filter a bit 'scary'.  Whoever first
thought of putting to integrators in a row had a lot of 'guts'.  But I
love the outcome.

We're just finishing up a product that jams 32 brutaly-pipelined
8-pole lowpass filters into one FPGA, sample rate 500 KHz per channel.
The cutoff range is 50 KHz down to 1 Hz, and original concept, classic
DSP butterfly stages, blew up mathematically. At 1 Hz we had allowable
coefficients errors like one part in 10^40, and 2-pole stage gains
like 10^17. This wasn't good. I suggested simulating a state-variable
lowpass digitally, and that worked, using the 48 bit MACs in the
Xilinx FPGA. The nice thing about state-variable filters is that you
can make the 2-pole stage gains exactly 1, and the coefficients scale
pretty much linearly on frequency.

" I like SV analog filters, but sometimes a Sallen-Key is better,
because the DC gain is 1 and doesn't depend on resistor accuracy."


I was measuring the DC gain of SV filters we are using a few months
ago. I was amazed at how accurate they were.
I can't recall the exact numbers, (My notebooks at work and I'm on
vacation.) but gain error was much less than the 0.1% resistor
tolerance.
They all used the same 10k 0.1% Sumuso (sp) resistors, I guess the
resistors matched much better than 0.1%. It's hard for me to measure
things to much better than 0.1%. I need another digit on my
voltmeter.

Say has anyone looked at the resistor values from 0.1% Sumuso (sp)
resistors? I wonder if they have the same bimodal
distribution that was claimed for the old 10% tolerance carbon
resistors. (where the 5% resistors were selected from the middle of
the
normal distribution.) For those who don't know the better Sumuso
resistors also come in 0.05% tolerance.

George H.
 
On Mon, 9 Aug 2010 13:18:18 -0700 (PDT), George Herold
<ggherold@gmail.com> wrote:

On Aug 8, 4:41 pm, John Larkin
jjlar...@highNOTlandTHIStechnologyPART.com> wrote:
On Sat, 7 Aug 2010 13:14:41 -0700 (PDT), George Herold





ggher...@gmail.com> wrote:
On Aug 7, 12:12 pm, John Larkin
jjlar...@highNOTlandTHIStechnologyPART.com> wrote:
On Thu, 5 Aug 2010 16:39:25 -0700 (PDT), Bret Cahill

BretCah...@peoplepc.com> wrote:
To get to a higher frequency, is it possible to just use a smaller cap
and/or resistor on op amp derivative taking circuits?

What do you mean by "get to a higher frequency"? Do you mean "continue
to be accurate at a higher signal frequency"?

The size of the cap scales the constant K in

OUT = K * (dIN/dt)

but has nothing to do with how high a frequency the circuit will work
at. The opamp determines that.

The "pure" opamp differentiator, just a cap, a resistor, and an opamp,
seldom works. It tends to be unstable and oscillate.

Interestingly, its dual, the opamp integrator, has problems of its
own.

Do you have any specific performance goals in mind?

John

What problems do you see with an integrator?  These always seem to
work just fine for me.

They integrate their own voltage offset and bias current, of course.
For something like a magnetic field probe coil, that gets to be the
dominant error. Some cute periodic auto-zero becomes necessary.
Chopper amps are great, but noisy.

I find the State Variable filter a bit 'scary'.  Whoever first
thought of putting to integrators in a row had a lot of 'guts'.  But I
love the outcome.

We're just finishing up a product that jams 32 brutaly-pipelined
8-pole lowpass filters into one FPGA, sample rate 500 KHz per channel.
The cutoff range is 50 KHz down to 1 Hz, and original concept, classic
DSP butterfly stages, blew up mathematically. At 1 Hz we had allowable
coefficients errors like one part in 10^40, and 2-pole stage gains
like 10^17. This wasn't good. I suggested simulating a state-variable
lowpass digitally, and that worked, using the 48 bit MACs in the
Xilinx FPGA. The nice thing about state-variable filters is that you
can make the 2-pole stage gains exactly 1, and the coefficients scale
pretty much linearly on frequency.

" I like SV analog filters, but sometimes a Sallen-Key is better,
because the DC gain is 1 and doesn't depend on resistor accuracy."


I was measuring the DC gain of SV filters we are using a few months
ago. I was amazed at how accurate they were.
I can't recall the exact numbers, (My notebooks at work and I'm on
vacation.) but gain error was much less than the 0.1% resistor
tolerance.
They all used the same 10k 0.1% Sumuso (sp) resistors, I guess the
resistors matched much better than 0.1%. It's hard for me to measure
things to much better than 0.1%. I need another digit on my
voltmeter.
Susumu. They are fabulous, come from Digikey, and cost 1/10 of the
Vishay stuff.

Say has anyone looked at the resistor values from 0.1% Sumuso (sp)
resistors? I wonder if they have the same bimodal
distribution that was claimed for the old 10% tolerance carbon
resistors. (where the 5% resistors were selected from the middle of
the
normal distribution.) For those who don't know the better Sumuso
resistors also come in 0.05% tolerance.
The actual available values are bizarre. Maybe they made what specific
customers wanted, then put them on the market. Or used a random number
generator.

We tested some of the 0.05% parts, for TC. We got numbers like 5 and 8
PPM/K.

John
 
On Aug 9, 11:00 pm, John Larkin
<jjlar...@highNOTlandTHIStechnologyPART.com> wrote:
On Mon, 9 Aug 2010 13:18:18 -0700 (PDT), George Herold





ggher...@gmail.com> wrote:
On Aug 8, 4:41 pm, John Larkin
jjlar...@highNOTlandTHIStechnologyPART.com> wrote:
On Sat, 7 Aug 2010 13:14:41 -0700 (PDT), George Herold

ggher...@gmail.com> wrote:
On Aug 7, 12:12 pm, John Larkin
jjlar...@highNOTlandTHIStechnologyPART.com> wrote:
On Thu, 5 Aug 2010 16:39:25 -0700 (PDT), Bret Cahill

BretCah...@peoplepc.com> wrote:
To get to a higher frequency, is it possible to just use a smaller cap
and/or resistor on op amp derivative taking circuits?

What do you mean by "get to a higher frequency"? Do you mean "continue
to be accurate at a higher signal frequency"?

The size of the cap scales the constant K in

OUT = K * (dIN/dt)

but has nothing to do with how high a frequency the circuit will work
at. The opamp determines that.

The "pure" opamp differentiator, just a cap, a resistor, and an opamp,
seldom works. It tends to be unstable and oscillate.

Interestingly, its dual, the opamp integrator, has problems of its
own.

Do you have any specific performance goals in mind?

John

What problems do you see with an integrator?  These always seem to
work just fine for me.

They integrate their own voltage offset and bias current, of course.
For something like a magnetic field probe coil, that gets to be the
dominant error. Some cute periodic auto-zero becomes necessary.
Chopper amps are great, but noisy.

I find the State Variable filter a bit 'scary'.  Whoever first
thought of putting to integrators in a row had a lot of 'guts'.  But I
love the outcome.

We're just finishing up a product that jams 32 brutaly-pipelined
8-pole lowpass filters into one FPGA, sample rate 500 KHz per channel.
The cutoff range is 50 KHz down to 1 Hz, and original concept, classic
DSP butterfly stages, blew up mathematically. At 1 Hz we had allowable
coefficients errors like one part in 10^40, and 2-pole stage gains
like 10^17. This wasn't good. I suggested simulating a state-variable
lowpass digitally, and that worked, using the 48 bit MACs in the
Xilinx FPGA. The nice thing about state-variable filters is that you
can make the 2-pole stage gains exactly 1, and the coefficients scale
pretty much linearly on frequency.

" I like SV analog filters, but sometimes a Sallen-Key is better,
because the DC gain is 1 and doesn't depend on resistor accuracy."

I was measuring the DC gain of SV filters we are using a few months
ago.   I was amazed at how accurate they were.
I can't recall the exact numbers,  (My notebooks at work and I'm on
vacation.)  but gain error was much less than the 0.1% resistor
tolerance.
They all used the same 10k 0.1% Sumuso (sp) resistors, I guess the
resistors matched much better than 0.1%.  It's hard for me to measure
things to much better than 0.1%.  I need another digit on my
voltmeter.

Susumu. They are fabulous, come from Digikey, and cost 1/10 of the
Vishay stuff.



Say has anyone looked at the resistor values from 0.1% Sumuso (sp)
resistors?  I wonder if they have the same bimodal
distribution that was claimed for the old 10% tolerance carbon
resistors.  (where the 5% resistors were selected from the middle of
the
normal distribution.)  For those who don't know the better Sumuso
resistors also come in 0.05% tolerance.

The actual available values are bizarre. Maybe they made what specific
customers wanted, then put them on the market. Or used a random number
generator.

We tested some of the 0.05% parts, for TC. We got numbers like 5 and 8
PPM/K.

John
Ahh Susumu, Thanks for the correction. I wonder if the 0.1% are
rejects from 0.05% batches. (The 0.1% cost something like 1/5 as
much.) Maybe I'll try and measure some.... Say If I put them in a
bridge I can measure differences with a lot more resolution. Is there
any easy way to swap chip resistors into some test jig? I'll need to
keep the variations in the test jig resistance down below 0.1 ohm or
so.. (for 10k ohm samples).

George H.
 
On Tue, 10 Aug 2010 07:13:20 -0700 (PDT), George Herold
<ggherold@gmail.com> wrote:

On Aug 9, 11:00 pm, John Larkin
jjlar...@highNOTlandTHIStechnologyPART.com> wrote:
On Mon, 9 Aug 2010 13:18:18 -0700 (PDT), George Herold





ggher...@gmail.com> wrote:
On Aug 8, 4:41 pm, John Larkin
jjlar...@highNOTlandTHIStechnologyPART.com> wrote:
On Sat, 7 Aug 2010 13:14:41 -0700 (PDT), George Herold

ggher...@gmail.com> wrote:
On Aug 7, 12:12 pm, John Larkin
jjlar...@highNOTlandTHIStechnologyPART.com> wrote:
On Thu, 5 Aug 2010 16:39:25 -0700 (PDT), Bret Cahill

BretCah...@peoplepc.com> wrote:
To get to a higher frequency, is it possible to just use a smaller cap
and/or resistor on op amp derivative taking circuits?

What do you mean by "get to a higher frequency"? Do you mean "continue
to be accurate at a higher signal frequency"?

The size of the cap scales the constant K in

OUT = K * (dIN/dt)

but has nothing to do with how high a frequency the circuit will work
at. The opamp determines that.

The "pure" opamp differentiator, just a cap, a resistor, and an opamp,
seldom works. It tends to be unstable and oscillate.

Interestingly, its dual, the opamp integrator, has problems of its
own.

Do you have any specific performance goals in mind?

John

What problems do you see with an integrator?  These always seem to
work just fine for me.

They integrate their own voltage offset and bias current, of course.
For something like a magnetic field probe coil, that gets to be the
dominant error. Some cute periodic auto-zero becomes necessary.
Chopper amps are great, but noisy.

I find the State Variable filter a bit 'scary'.  Whoever first
thought of putting to integrators in a row had a lot of 'guts'.  But I
love the outcome.

We're just finishing up a product that jams 32 brutaly-pipelined
8-pole lowpass filters into one FPGA, sample rate 500 KHz per channel.
The cutoff range is 50 KHz down to 1 Hz, and original concept, classic
DSP butterfly stages, blew up mathematically. At 1 Hz we had allowable
coefficients errors like one part in 10^40, and 2-pole stage gains
like 10^17. This wasn't good. I suggested simulating a state-variable
lowpass digitally, and that worked, using the 48 bit MACs in the
Xilinx FPGA. The nice thing about state-variable filters is that you
can make the 2-pole stage gains exactly 1, and the coefficients scale
pretty much linearly on frequency.

" I like SV analog filters, but sometimes a Sallen-Key is better,
because the DC gain is 1 and doesn't depend on resistor accuracy."

I was measuring the DC gain of SV filters we are using a few months
ago.   I was amazed at how accurate they were.
I can't recall the exact numbers,  (My notebooks at work and I'm on
vacation.)  but gain error was much less than the 0.1% resistor
tolerance.
They all used the same 10k 0.1% Sumuso (sp) resistors, I guess the
resistors matched much better than 0.1%.  It's hard for me to measure
things to much better than 0.1%.  I need another digit on my
voltmeter.

Susumu. They are fabulous, come from Digikey, and cost 1/10 of the
Vishay stuff.



Say has anyone looked at the resistor values from 0.1% Sumuso (sp)
resistors?  I wonder if they have the same bimodal
distribution that was claimed for the old 10% tolerance carbon
resistors.  (where the 5% resistors were selected from the middle of
the
normal distribution.)  For those who don't know the better Sumuso
resistors also come in 0.05% tolerance.

The actual available values are bizarre. Maybe they made what specific
customers wanted, then put them on the market. Or used a random number
generator.

We tested some of the 0.05% parts, for TC. We got numbers like 5 and 8
PPM/K.

John

Ahh Susumu, Thanks for the correction. I wonder if the 0.1% are
rejects from 0.05% batches. (The 0.1% cost something like 1/5 as
much.) Maybe I'll try and measure some.... Say If I put them in a
bridge I can measure differences with a lot more resolution. Is there
any easy way to swap chip resistors into some test jig? I'll need to
keep the variations in the test jig resistance down below 0.1 ohm or
so.. (for 10k ohm samples).
I think the only fair thing to do is solder them to real surface-mount
pads on a board, especially to measure TC. You never know how stresses
might effect things when you get to single digits of PPMs.

John
 
On Aug 10, 8:57 pm, John Larkin
<jjlar...@highNOTlandTHIStechnologyPART.com> wrote:
On Tue, 10 Aug 2010 07:13:20 -0700 (PDT), George Herold





ggher...@gmail.com> wrote:
On Aug 9, 11:00 pm, John Larkin
jjlar...@highNOTlandTHIStechnologyPART.com> wrote:
On Mon, 9 Aug 2010 13:18:18 -0700 (PDT), George Herold

ggher...@gmail.com> wrote:
On Aug 8, 4:41 pm, John Larkin
jjlar...@highNOTlandTHIStechnologyPART.com> wrote:
On Sat, 7 Aug 2010 13:14:41 -0700 (PDT), George Herold

ggher...@gmail.com> wrote:
On Aug 7, 12:12 pm, John Larkin
jjlar...@highNOTlandTHIStechnologyPART.com> wrote:
On Thu, 5 Aug 2010 16:39:25 -0700 (PDT), Bret Cahill

BretCah...@peoplepc.com> wrote:
To get to a higher frequency, is it possible to just use a smaller cap
and/or resistor on op amp derivative taking circuits?

What do you mean by "get to a higher frequency"? Do you mean "continue
to be accurate at a higher signal frequency"?

The size of the cap scales the constant K in

OUT = K * (dIN/dt)

but has nothing to do with how high a frequency the circuit will work
at. The opamp determines that.

The "pure" opamp differentiator, just a cap, a resistor, and an opamp,
seldom works. It tends to be unstable and oscillate.

Interestingly, its dual, the opamp integrator, has problems of its
own.

Do you have any specific performance goals in mind?

John

What problems do you see with an integrator?  These always seem to
work just fine for me.

They integrate their own voltage offset and bias current, of course..
For something like a magnetic field probe coil, that gets to be the
dominant error. Some cute periodic auto-zero becomes necessary.
Chopper amps are great, but noisy.

I find the State Variable filter a bit 'scary'.  Whoever first
thought of putting to integrators in a row had a lot of 'guts'.  But I
love the outcome.

We're just finishing up a product that jams 32 brutaly-pipelined
8-pole lowpass filters into one FPGA, sample rate 500 KHz per channel.
The cutoff range is 50 KHz down to 1 Hz, and original concept, classic
DSP butterfly stages, blew up mathematically. At 1 Hz we had allowable
coefficients errors like one part in 10^40, and 2-pole stage gains
like 10^17. This wasn't good. I suggested simulating a state-variable
lowpass digitally, and that worked, using the 48 bit MACs in the
Xilinx FPGA. The nice thing about state-variable filters is that you
can make the 2-pole stage gains exactly 1, and the coefficients scale
pretty much linearly on frequency.

" I like SV analog filters, but sometimes a Sallen-Key is better,
because the DC gain is 1 and doesn't depend on resistor accuracy."

I was measuring the DC gain of SV filters we are using a few months
ago.   I was amazed at how accurate they were.
I can't recall the exact numbers,  (My notebooks at work and I'm on
vacation.)  but gain error was much less than the 0.1% resistor
tolerance.
They all used the same 10k 0.1% Sumuso (sp) resistors, I guess the
resistors matched much better than 0.1%.  It's hard for me to measure
things to much better than 0.1%.  I need another digit on my
voltmeter.

Susumu. They are fabulous, come from Digikey, and cost 1/10 of the
Vishay stuff.

Say has anyone looked at the resistor values from 0.1% Sumuso (sp)
resistors?  I wonder if they have the same bimodal
distribution that was claimed for the old 10% tolerance carbon
resistors.  (where the 5% resistors were selected from the middle of
the
normal distribution.)  For those who don't know the better Sumuso
resistors also come in 0.05% tolerance.

The actual available values are bizarre. Maybe they made what specific
customers wanted, then put them on the market. Or used a random number
generator.

We tested some of the 0.05% parts, for TC. We got numbers like 5 and 8
PPM/K.

John

Ahh Susumu,  Thanks for the correction.  I wonder if the 0.1% are
rejects from 0.05% batches.  (The 0.1% cost something like 1/5 as
much.)  Maybe I'll try and measure some.... Say If I put them in a
bridge I can measure differences with a lot more resolution.  Is there
any easy way to swap chip resistors into some test jig?   I'll need to
keep the variations in the test jig resistance down below 0.1 ohm or
so.. (for 10k ohm samples).

I think the only fair thing to do is solder them to real surface-mount
pads on a board, especially to measure TC. You never know how stresses
might effect things when you get to single digits of PPMs.

John
Hmm If I want a quick measure of say 10 or 20 of them that sounds like
a lot of work. Unsoldering surface mount is always a bit of a PITA.
I use solder wick and then push with the iron...

Maybe I could stand the R's on end, solder one end to a PCB and touch
solder a bit of wire to the other end.

The Sumusu data sheet does list TC's at the few ppm level. Resistors
are pretty amazing. What's the TC of a piece of copper?.. one part in
10^4 or something like that. Oh they also sell 0.02% resistors. I
wonder what they cost?

George H.
 
On Wed, 11 Aug 2010 06:10:15 -0700 (PDT), George Herold
<ggherold@gmail.com> wrote:

On Aug 10, 8:57 pm, John Larkin
jjlar...@highNOTlandTHIStechnologyPART.com> wrote:
On Tue, 10 Aug 2010 07:13:20 -0700 (PDT), George Herold





ggher...@gmail.com> wrote:
On Aug 9, 11:00 pm, John Larkin
jjlar...@highNOTlandTHIStechnologyPART.com> wrote:
On Mon, 9 Aug 2010 13:18:18 -0700 (PDT), George Herold

ggher...@gmail.com> wrote:
On Aug 8, 4:41 pm, John Larkin
jjlar...@highNOTlandTHIStechnologyPART.com> wrote:
On Sat, 7 Aug 2010 13:14:41 -0700 (PDT), George Herold

ggher...@gmail.com> wrote:
On Aug 7, 12:12 pm, John Larkin
jjlar...@highNOTlandTHIStechnologyPART.com> wrote:
On Thu, 5 Aug 2010 16:39:25 -0700 (PDT), Bret Cahill

BretCah...@peoplepc.com> wrote:
To get to a higher frequency, is it possible to just use a smaller cap
and/or resistor on op amp derivative taking circuits?

What do you mean by "get to a higher frequency"? Do you mean "continue
to be accurate at a higher signal frequency"?

The size of the cap scales the constant K in

OUT = K * (dIN/dt)

but has nothing to do with how high a frequency the circuit will work
at. The opamp determines that.

The "pure" opamp differentiator, just a cap, a resistor, and an opamp,
seldom works. It tends to be unstable and oscillate.

Interestingly, its dual, the opamp integrator, has problems of its
own.

Do you have any specific performance goals in mind?

John

What problems do you see with an integrator?  These always seem to
work just fine for me.

They integrate their own voltage offset and bias current, of course.
For something like a magnetic field probe coil, that gets to be the
dominant error. Some cute periodic auto-zero becomes necessary.
Chopper amps are great, but noisy.

I find the State Variable filter a bit 'scary'.  Whoever first
thought of putting to integrators in a row had a lot of 'guts'.  But I
love the outcome.

We're just finishing up a product that jams 32 brutaly-pipelined
8-pole lowpass filters into one FPGA, sample rate 500 KHz per channel.
The cutoff range is 50 KHz down to 1 Hz, and original concept, classic
DSP butterfly stages, blew up mathematically. At 1 Hz we had allowable
coefficients errors like one part in 10^40, and 2-pole stage gains
like 10^17. This wasn't good. I suggested simulating a state-variable
lowpass digitally, and that worked, using the 48 bit MACs in the
Xilinx FPGA. The nice thing about state-variable filters is that you
can make the 2-pole stage gains exactly 1, and the coefficients scale
pretty much linearly on frequency.

" I like SV analog filters, but sometimes a Sallen-Key is better,
because the DC gain is 1 and doesn't depend on resistor accuracy."

I was measuring the DC gain of SV filters we are using a few months
ago.   I was amazed at how accurate they were.
I can't recall the exact numbers,  (My notebooks at work and I'm on
vacation.)  but gain error was much less than the 0.1% resistor
tolerance.
They all used the same 10k 0.1% Sumuso (sp) resistors, I guess the
resistors matched much better than 0.1%.  It's hard for me to measure
things to much better than 0.1%.  I need another digit on my
voltmeter.

Susumu. They are fabulous, come from Digikey, and cost 1/10 of the
Vishay stuff.

Say has anyone looked at the resistor values from 0.1% Sumuso (sp)
resistors?  I wonder if they have the same bimodal
distribution that was claimed for the old 10% tolerance carbon
resistors.  (where the 5% resistors were selected from the middle of
the
normal distribution.)  For those who don't know the better Sumuso
resistors also come in 0.05% tolerance.

The actual available values are bizarre. Maybe they made what specific
customers wanted, then put them on the market. Or used a random number
generator.

We tested some of the 0.05% parts, for TC. We got numbers like 5 and 8
PPM/K.

John

Ahh Susumu,  Thanks for the correction.  I wonder if the 0.1% are
rejects from 0.05% batches.  (The 0.1% cost something like 1/5 as
much.)  Maybe I'll try and measure some.... Say If I put them in a
bridge I can measure differences with a lot more resolution.  Is there
any easy way to swap chip resistors into some test jig?   I'll need to
keep the variations in the test jig resistance down below 0.1 ohm or
so.. (for 10k ohm samples).

I think the only fair thing to do is solder them to real surface-mount
pads on a board, especially to measure TC. You never know how stresses
might effect things when you get to single digits of PPMs.

John

Hmm If I want a quick measure of say 10 or 20 of them that sounds like
a lot of work. Unsoldering surface mount is always a bit of a PITA.
I use solder wick and then push with the iron...

Maybe I could stand the R's on end, solder one end to a PCB and touch
solder a bit of wire to the other end.

The Sumusu data sheet does list TC's at the few ppm level. Resistors
are pretty amazing. What's the TC of a piece of copper?.. one part in
10^4 or something like that.

Much worse, around 0.4% per K. Most metals are in that ballpark.

John
 

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