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If the Fourier series coefficients of a signal are periodic then the signal must be

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If the Fourier series coefficients of a signal are periodic then the signal must be

(a) Continuous-time, periodic

(b) Discrete-time, periodic

(c) Continuous-time, non-periodic

(d) Discrete-time, non-periodic

The question was asked in unit test.

I need to ask this question from The Z-transform Analysis of Sampled-Data Control Systems in portion Digital Control Systems of Control Systems

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Correct option is (b) Discrete-time, periodic

The best I can explain: Discrete-time, periodic these are the properties of the discrete-time periodic signal.

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