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A carrier signal with unit amplitude and frequency fc1 = 50 kHz is modulated with a...

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Physics

A carrier signal with unit amplitude and frequency fc1 = 50 kHzis modulated with a message signal
?1(?)=2cos(2??1?), where f1 = 15 kHz, to produce a DSB-SC signal.This DSB signal must be up-converted to a center frequency fc = 100kHz.
a. Determine the image frequency of the DSB signal. [2]
b. An Upper-SSB signal with unit amplitude carrier at the imagefrequency calculated above also exists in the spectrum. The SSBsignal is tone modulated with ?2(?)=4cos(2??2?), where f2 = 10 kHz.Write expressions for the magnitude spectra of the DSB and SSBsignals. [9]
2
c. Sketch the double-sided magnitude spectrum of the DSB and SSBsignals before frequency conversion. Clearly show all theamplitudes and frequencies of interest. [2]
d. Sketch the double-sided magnitude spectrum of the DSB and SSBsignals after it is up-converted and passed through a bandpassfilter with center frequency fc and bandwidth 40 kHz. [

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