Question

The ROC of z-transform of any signal cannot contain poles.

(a) True

(b) False

This question was addressed to me in a national level competition.

I want to ask this question from Z Transform in portion Z Transform and its Application – Analysis of the LTI Systems of Digital Signal Processing

Answer 1

Right option is (a) True

The explanation is: Since the value of z-transform tends to infinity, the ROC of the z-transform does not contain poles.