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# Solution: Write the formula of the frequency modulation (FM)

#### Problem Statement: Principles of Communications

Modulation Problem Solving

If an information signal m(t) = cos(2ฯ100t) +10cos(2ฯ1000t) . Write the formula of the frequency modulation (FM) when Ac = 10, Fc = 10^6 Hz, Kf = ฯ1000.

(a) The formula of the frequency modulation (FM) is s(t) = 10cos{2ฯ10^6t + 10ฯ(sin2ฯ100t + sin2ฯ1000t)}.

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