(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let the baseband signal be

s(t)=cos(2πfst+π3), where fs=5kHz. Radio carrier is

c(t)=sin(2πfct), where fc=100MHz. Using the amplitude modulation of g(t)=(1+s(t))c(t), what is the frequency spectrum of the modulated signal g(t)?

What are the amplitude and phase shift of each frequency component in g(t)?

2. Relevant equations

g(t)=(1+s(t))c(t)

3. The attempt at a solution

g(t)= (1+ cos(2πfst+π3)) sin(2πfct)

g(t)= sin(2πfct)+ cos(2πfst+π3) sin(2πfct)

g(t)=

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# Frequency spectrum of the modulated signal g(t)

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