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Q.

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
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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