Suppose that the modulation signal is mt=Amcos2πfmt and the carrier signal is xct=Accos2πfct. Which one of the following is conventional AM signal without over modulation
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a
xt=Acmtcos2πfct
b
xt=Ac1+mtcos2πfct
c
xt=Accos2πfct+Ac4cos2πfmtcos2πfct
d
xt=Accos2πfmt + cos2πfct+ Acsin2πfmtsin2πfct
answer is C.
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Detailed Solution
Conventional AM signal without over modulation means (μ<1) xt=(Ac+mt)cos2πfct ⇒xt=(Ac+Amcos2πfmt)cos2πfct ⇒xt=Accos2πfct+Amcos2πfmtcos2πfct Now comparing with option (3) xt=Accos2πfct+Ac4cos2πfmtcos2πfct We get, Am=Ac4 ⇒AmAc=14 ⇒μ=14 means under modulation
Suppose that the modulation signal is mt=Amcos2πfmt and the carrier signal is xct=Accos2πfct. Which one of the following is conventional AM signal without over modulation