Superposition principle of linear modulation method, Electrical Engineering

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Q. Let m1(t) and m2(t) be two message signals, and let u1(t) and u2(t) be the corresponding modulated versions.

(a) When the combined message signal m1(t) + m2(t) DSB modulates a carrier Ac cos 2πfct , show that the result is the sum of the two DSB AM signals u1(t) + u2(t). That is to say, AM satis?es the superposition principle.

(b) Ifm1(t)+m2(t) frequency modulates a carrier, show that the modulated signal is not equal to u1(t) + u2(t). That is to say, FM does not satisfy the principle of superposition, and angle modulation is not a linear modulation method.


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