Question

Which of the following is true in matched z-transform?

(a) Poles of H(s) are directly mapped to poles in z-plane

(b) Zeros of H(s) are directly mapped to poles in z-plane

(c) Poles & Zeros of H(s) are directly mapped to poles in z-plane

(d) None of the mentioned

The question was posed to me during an online exam.

My question is taken from Matched Z Transformation topic in section Digital Filters Design of Digital Signal Processing

Answer 1

Correct option is (c) Poles & Zeros of H(s) are directly mapped to poles in z-plane

To explain: In the transformation of analog filter into digital filter by matched z-transform method, the poles and zeros of H(s) directly into poles and zeros in the z-plane.