How is the IIR filter coefficient comes from?

B

boki

Guest
Dear All,

We calculate the IIR filter coefficient by


h(kt)=(2fc/fs)(sin{r(k)}/r(k))
r(k)=2*pi*fc*[k-(N-1)/2]/fs, k=0,1,2,3,....

pi=3.14159

but, how these equations come from?


Thanks a lot!

Best regards,

Boki.
 
bokiteam@ms21.hinet.net (boki) wrote in message news:<4c3c095a.0406032214.c697c7b@posting.google.com>...
Dear All,

We calculate the IIR filter coefficient by


h(kt)=(2fc/fs)(sin{r(k)}/r(k))
r(k)=2*pi*fc*[k-(N-1)/2]/fs, k=0,1,2,3,....

pi=3.14159

but, how these equations come from?


Thanks a lot!

Best regards,

Boki.
The answer to this is typically a full semester class for Electrical
Engineers. Most recently printed engineering textbooks on electronic
filters or DSP give a gory derivations. Lot's a math, and actually
more than one methodology for either IIR or FIR filters. It's not
something that can fit in a Usenet post.

MM
 
1. Use fourier series to contribute a desire filter curv(ac response)
2. find fourier series
3. convolution signal with series
4. Get the FIR.


Correct?

Thanks.

Boki.

mymantra@yahoo.com (Mantra) wrote in message news:<a6403f08.0406081329.6d177aee@posting.google.com>...
bokiteam@ms21.hinet.net (boki) wrote in message news:<4c3c095a.0406032214.c697c7b@posting.google.com>...
Dear All,

We calculate the IIR filter coefficient by


h(kt)=(2fc/fs)(sin{r(k)}/r(k))
r(k)=2*pi*fc*[k-(N-1)/2]/fs, k=0,1,2,3,....

pi=3.14159

but, how these equations come from?


Thanks a lot!

Best regards,

Boki.

The answer to this is typically a full semester class for Electrical
Engineers. Most recently printed engineering textbooks on electronic
filters or DSP give a gory derivations. Lot's a math, and actually
more than one methodology for either IIR or FIR filters. It's not
something that can fit in a Usenet post.

MM
 
Windows ? @@...

SINC window?

how is the 2fc/fs come from? @@

bokiteam@ms21.hinet.net (boki) wrote in message news:<4c3c095a.0406090243.5f9d0192@posting.google.com>...
1. Use fourier series to contribute a desire filter curv(ac response)
2. find fourier series
3. convolution signal with series
4. Get the FIR.


Correct?

Thanks.

Boki.

mymantra@yahoo.com (Mantra) wrote in message news:<a6403f08.0406081329.6d177aee@posting.google.com>...
bokiteam@ms21.hinet.net (boki) wrote in message news:<4c3c095a.0406032214.c697c7b@posting.google.com>...
Dear All,

We calculate the IIR filter coefficient by


h(kt)=(2fc/fs)(sin{r(k)}/r(k))
r(k)=2*pi*fc*[k-(N-1)/2]/fs, k=0,1,2,3,....

pi=3.14159

but, how these equations come from?


Thanks a lot!

Best regards,

Boki.

The answer to this is typically a full semester class for Electrical
Engineers. Most recently printed engineering textbooks on electronic
filters or DSP give a gory derivations. Lot's a math, and actually
more than one methodology for either IIR or FIR filters. It's not
something that can fit in a Usenet post.

MM
 

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