Question

The z-transform of a sequence x(n) which is given as X(z)=\(\sum_{n=-\infty}^{\infty}x(n)z^{-n}\) is known as _____________

(a) Uni-lateral Z-transform

(b) Bi-lateral Z-transform

(c) Tri-lateral Z-transform

(d) None of the mentioned

I got this question in examination.

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

Answer 1

Correct choice is (b) Bi-lateral Z-transform

For explanation: The entire timing sequence is divided into two parts n=0 to ∞ and n=-∞ to 0.

Since the z-transform of the signal given in the questions contains both the parts, it is called as Bi-lateral z-transform.