[music-dsp] Unitary power condition for FIR filter coefficients

[robert bristow-johnson]

> ----- Original Message -----
> From: "Massimiliano Tonelli" <mtonelli at anwida.com>
> To: "A discussion list for music-related DSP" <music-dsp at music.columbia.edu>
> Subject: [music-dsp] Unitary power condition for FIR filter coefficients
> Date: Tue, 29 Jan 2008 17:38:23 +0100
> 
> 
> Does a simple and general condition on the FIR coefficients exist so that 
> feeding the filter with a unit variance white noise a unit variance output 
> signal is obtained? Or is it necessary to evaluate the filter spectral power 
> explicitly?

i don't think it is necessary to go to the frequency domain.

doesn't Parseval's theorem have something to say about this?

i'll bet if


   N-1
   SUM{ |h[n]|^2 } = 1 
   n=0


   you'll preserve the power from input to output.

--

r b-j                  rbj at audioimagination.com

"Imagination is more important than knowledge."