MathGroup Archive 2004

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Bilinear Transforms

  • To: mathgroup at
  • Subject: [mg50755] Bilinear Transforms
  • From: Chris Williams <chrisw at>
  • Date: Sun, 19 Sep 2004 03:56:05 -0400 (EDT)
  • Sender: owner-wri-mathgroup at

Hi everyone,

I have an warped FIR filter with order around 1400 - however to unwarp 
this filter configuration for use on my data I need to apply the 
bilinear transform:

u' ->  (z^-1 - lambda)/(1-lambda*z^-1)

So essentially each unit delay becomes an all-pass element.
I've substituted in the transform into a transfer function expression 
for my filter, and now I want to get the transfer function back into the 
normal form of a fraction of polynomials of z.

I've tried Together[] and Simplify[] without much success. Has anyone 
accomplished something similar - any help would be greatly appreciated ;)

Cheers and thanks,


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