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Approximation of z-transform transfer function

In the continuous domain you are actually using a first-order Taylor approximation of the denominator polynomial of $H(s)$ at $s=0$ (i.e., at DC). In discrete time, this corresponds to a first order ...
Matt L.'s user avatar
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Approximation of z-transform transfer function

Interesting. I can't say I've ever made an approximation like that without consideration of the effect on the dynamics. Therefore, to answer your question, I will place the following requirements for ...
Stephen's user avatar
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2 votes

Methods to determine stability of open-loop systems

It appears you can use a Nyquist plot and just consider encirclements of the origin rather than -1. My reasoning was to follow a similar mathematical derivation to that on the Wikipedia page for the ...
Stephen's user avatar
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1 vote

How to design IIR digital filters?

To design a filter directly in the discrete time domain (z transform) from a specification of the poles and zeroes is simple (incidentally, you have no choice but to get an IIR filter since the filter ...
Stephen's user avatar
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