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What is the product of an even signal and odd signal?

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in Signals and Systems by (1.2m points)
What is the product of an even signal and odd signal?

(a) Even signal

(b) Odd signal

(c) Mixture of even and odd

(d) Odd signals sometimes

The question was posed to me in semester exam.

The query is from Symmetry Properties of the Fourier Series topic in section Fourier Series of Signals and Systems

1 Answer

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by (42.1k points)
Correct choice is (b) Odd signal

Best explanation: The product of an even and odd signal is an odd signal. But product or sum of two even signals is even signal.

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