Question

Derive an expression of single tone amplitude modulated wave

Answer 1

Answer:

Expression for Single Tone Amplitude Modulated Wave and draw its frequency spectrum . Single Tone Amplitude Modulation (AM) Definition .

Answer 2

Let us consider a single tone modulating signal as :

x(t) = Vm cos ωmt ……………….(1)

which contains a single frequency ωm.

Signal x(t) may be a voltage signal or a current signal. Here, we have assumed that x(t) is a voltage signal with maximum amplitude equal to Vm.

Let the carrier signal be :

c(t) = A cos ωct ……………….(2)

We know that the general expression for AM signal is :

s(t) = [A + x(t)] cos ωct

or,

s(t) = A cos ωct + x(t) cos ωct ………………..(3)

Putting the value of x(t), we get

s(t) = A cos ωct + Vm cos ωmt cos ωct

or,

s(t) = A cos ωct + Vm cos ωct cos ωmt

or,

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