For a signal x(n) to exhibit even symmetry, it should satisfy the condition |X(-ω)|=| X(ω)|.(a) True(b) FalseThe question was posed to me by my school principal while I was bunking the class.Query is from Frequency Analysis of Discrete Time Signal in section Frequency Analysis of Signals and Systems of Digital Signal Processing

For a signal x(n) to exhibit even symmetry, it should satisfy the cond

1.	For a signal x(n) to exhibit even symmetry, it should satisfy the condition \|X(-ω)\|=\| X(ω)\|.(a) True(b) FalseThe question was posed to me by my school principal while I was bunking the class.Query is from Frequency Analysis of Discrete Time Signal in section Frequency Analysis of Signals and Systems of Digital Signal Processing
Answer» Correct choice is (a) True For explanation: We know that, if a signal x(N) is real, then X(ω)=X(-ω) If the signal is EVEN SYMMETRIC, then the MAGNITUDE on both the sides should be equal. So, \|X(ω)\|=\|X(-ω)\| => \|X(-ω)\|=\|X(ω)\|.

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