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X [n] = 2 cos (2n) is periodic or not?

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X [n] = 2 cos (2n) is periodic or not?

(a) Periodic with period 2n

(b) Periodic with period 2π

(c) Periodic with period 2

(d) Non periodic

This question was posed to me at a job interview.

Question is from Elementary Signals topic in portion Signals and Systems Basics of Signals and Systems

1 Answer

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The correct choice is (d) Non periodic

Easy explanation: The given signal x [n] is non periodic as it doesn’t satisfy the equation w=^2πm⁄N   where, N is fundamental period and m is an integer.

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