Regarding Pole/Zero form


Subject: Regarding Pole/Zero form
From: Srikanth Chandrasekaran (schandra@asc.corp.mot.com)
Date: Mon Aug 05 2002 - 19:37:31 PDT


Peter,

I feel that according to the equation specified in the LRM, the zeros and
poles represent the roots of Z instead of Z^-1. However should they be roots
of Z^-1?

Lets assume the zeta value has one pair of real number 1,2.

According to the equation in the LRM, the zeros are defined by

Case 1: (as per LRM equation)
-------
1 - (Z^-1)(1+2j) = 0

ie (Z^-1)(1+2j) = 1
Z^-1 = 1/(1+2j) or
Z = 1 + 2j

Case 2:
-------
We feel it should be 1 - (Z^-1)(1/(1+2j)) = 0

ie (Z^-1)(1/(1+2j)) = 1 or
Z^-1 = 1 + 2j;

In case 1, the zeta specified by the user (1,2) refer to the roots of Z
instead of Z^-1.

The equation is specified correctly for laplace in the LRM.

Regards,
Sri

--
Srikanth Chandrasekaran
Global Software Group, EDA SBU
Motorola Australia.
Phone: +61-8-8168 3592 Fax: x3501



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