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Mathematically, the number of sidebands in frequency modulated system is _________

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Mathematically, the number of sidebands in frequency modulated system is _________

(a) infinite

(b) one

(c) two

(d) zero

I have been asked this question during an interview.

This interesting question is from Non Linear Device topic in chapter Side Band Techniques of Analog Communications

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Correct option is (a) infinite

Easy explanation: Wideband frequency modulated system has modulation index greater than 1. Thus, if we consider the number of sidebands in wideband frequency modulated system, we find it to be infinite, mathematically speaking.

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