Question

What are the values of z for which the value of X(z)=0?

(a) Poles

(b) Zeros

(c) Solutions

(d) None of the mentioned

This question was posed to me in an international level competition.

Enquiry is from Rational Z Transform in section Z Transform and its Application – Analysis of the LTI Systems of Digital Signal Processing

Answer 1

Right option is (b) Zeros

To elaborate: For a rational z-transform X(z) to be zero, the numerator of X(z) is zero and the solutions of the numerator are called as ‘zeros’ of X(z).