Question

If the factor of the form (s-a) in H(s) is mapped into 1-e^aTz^-1 in the z-domain, the that kind of transformation is called as ______________

(a) Impulse invariance

(b) Bilinear transformation

(c) Approximation of derivatives

(d) Matched Z-transform

I have been asked this question in an interview for internship.

This interesting question is from Matched Z Transformation in division Digital Filters Design of Digital Signal Processing

Answer 1

Right answer is (d) Matched Z-transform

The 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. This mapping is called the matched z-transform.