Question

A Discrete signal is said to be even or symmetric if X(-n) is equal to __________

(a) X(n)

(b) 0

(c) –X(n)

(d) –X(-n)

The question was asked in class test.

I want to ask this question from Discrete-Time Fourier Transform in division Fourier Transform of Signals and Systems

Answer 1

The correct option is (a) X(n)

The best I can explain: We know that any signal be it discrete or continuous is said to be even or symmetric when that signal f(x) = f (-x). Here given signal is X (n). It is a discrete time signal. So, the signal will be even symmetric if X (n) = X (-n).