Question

The factor of the form (s+a) in H(s) is mapped into which of the following factors in z-domain?

(a) 1-e^aTz

(b) 1-e^aTz^-1

(c) 1-e^-aTz^-1

(d) 1+e^aTz^-1

The question was posed to me in a national level competition.

I would like to ask this question from Matched Z Transformation in division Digital Filters Design of Digital Signal Processing

Answer 1

Right answer is (c) 1-e^-aTz^-1

Easiest explanation: If T is the sampling interval, then each factor of the form (s+a) in H(s) is mapped into the factor (1-e^-aTz^-1) in the z-domain.