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What is the time reversal property of fourier series coefficients?

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in Signals and Systems by (1.2m points)
What is the time reversal property of fourier series coefficients?

(a) Time reversal of the corresponding sequence of fourier series

(b) Time reversal of the last term of fourier series

(c) Time reversal of the corresponding term of fourier series

(d) Time reversal of the corresponding sequence

This question was posed to me during an online exam.

I'm obligated to ask this question of Fourier Series Properties in section Fourier Series of Signals and Systems

1 Answer

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by (42.1k points)
Correct answer is (a) Time reversal of the corresponding sequence of fourier series

Best explanation: x(t)↔ Xn

Y(t) = x(-t)↔Yn=X-n.

That is the time reversal property of fourier series coefficients is time reversal of the corresponding sequence of fourier series.

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