Answer to Question #245953 in Electrical Engineering for iram

Question #245953

Consider a message signal π‘š(𝑑) with bandwidth π‘Š = 2 π‘˜π»π‘§ , applied to a DSB-SC modulator, s.t., 𝑠(𝑑) = π΄π‘π‘š(𝑑) cos(2πœ‹π‘“π‘ 𝑑). Assuming perfect synchronism between the carrier waves in the modulator and detector. a. Determine (sketch) the spectrum of the detector output when 𝑓𝑐 = 1 π‘˜π»π‘§. (Note: 𝑀(𝑓) is shown in the figure, and 𝑀(0) = 1.) b. Find the lowest 𝑓𝑐 for which each component of the modulated wave 𝑠(𝑑) is uniquely determined by π‘š(𝑑). Sketch the spectrum of the detector output with the lowest 𝑓𝑐 that you have required.Β 

Expert's answer

Vc(t) = Ec sinΟ‰ct – Vm(t) = Em sinΟ‰mt – VAM(t) = Ec sinΟ‰ct + Em sinΟ‰mt . sinΟ‰ct

We can express this as:

 VAM(t) = [Ec + Em sinωmt ]. sinωct = [1+ m.sinωmt ]. Ec. sinωct

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