+1 vote
in Signals and Systems by (1.2m points)
For a stable system which of the following is correct?

(a) |z| < 1

(b) |z| = 1

(c) |z| > 1

(d) |z| ≠ 1

The question was asked in a job interview.

My doubt stems from Properties of ROC topic in section Laplace Transform and System Design of Signals and Systems

1 Answer

0 votes
by (42.1k points)
The correct choice is (a) |z| < 1

Explanation: We know that, for the system to be stable, the ROC should include the unit circle.

|z| = 1, represents the unit circle but does not include it.

|z| > 1, represents the region outside the unit circle. In other words, it excludes the region of the unit circle.

|z| ≠ 1 does not represent a unit circle.

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