Question

When x(t ) is said to be non periodic signal?

(a) If the equation x (t) = x (t + T) is satisfied for all values of T

(b) If the equation x (t) = x (t + T) is satisfied for only one value of T

(c) If the equation x (t) = x (t + T) is satisfied for no values of T

(d) If the equation x (t) = x (t + T) is satisfied for only odd values of T

The question was asked in quiz.

This intriguing question comes from Classification of Signals topic in division Signals and Systems Basics of Signals and Systems

Answer 1

Correct option is (c) If the equation x (t) = x (t + T) is satisfied for no values of T

To explain: A signal x (t) is said to be non periodic signal if it does not satisfy the equation x(t) = x(t + T). And it is periodic if it satisfies the equation for all values of T = T0, 2T0, 3T0…