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For a periodic function, the spectral density and auto-correlation functions are ________

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For a periodic function, the spectral density and auto-correlation functions are ________

(a) Laplace transform pair

(b) Fourier transform pair

(c) Gauss transform pair

(d) Z-transform pair

I have been asked this question in my homework.

This intriguing question originated from RF Mixing topic in section Receivers & Transducers of Analog Communications

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The correct option is (b) Fourier transform pair

The best I can explain: Fourier transform breaks a function into an alternate representation, characterized by sine and cosines. If a function is periodic, the spectral density and auto-correlation functions are Fourier transform pair.

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