Re: Origin of Blinear Transform

On May 1, 3:27 am, Chris Barrett
<"chrisbarret"@0123456789abcdefghijk113322.none> wrote:
Does anyone know what the origin is of the bilinear transform? In other
words, how was the bilinear transform derived?

Its just Trapezoidal integration so its original goes way back.
Probably Cauchy's era 18th century.
Here is a simple derivation


z=exp(sT)=exp(sT/2)/exp(-sT/2).

Now expand num and denominator to a 1st order approx

z:= (1+sT/2+..)/(1-sT/2+...)

voila mes petite chiens (as Cauchy would have said) - the answer after
re-arranging for s.


Wang King

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