Question

State if the following system is periodic or not. y(t) = sin(sqrt(2)*x(t))

(a) No

(b) Yes

I have been asked this question in an interview.

The above asked question is from Properties of Systems topic in portion Signals and Systems Basics of Signals and Systems

Answer 1

Right choice is (a) No

The explanation is: The function y = sin(nx) is periodic only for rational ‘n’.