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Modulation and De-modulation| why we require modulation and de-modulation

Define modulation and demodulation. Explain the need for modulation.

If a carrier wave c(t)=A sin omega_(c)t is amplitude modulated by a modulator signal m(t)=A sin omega_(m)t then the equation of modulated signal [C_(m)(t)] and its modulation index are respectively

A carrier wave of amplitude A is used to modulate (amplitude) the signal.Modulated signal amplitude swings from 0.1 A to 1.9A,calculate modulation index.

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When the modulating frequency is doubled, the modulation index is halved and the modulating voltage constant the modulation system is