Use phasors to obtain a complex signal

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Reference no: EM13218189

In class we saw an example of 'Beat note'. In this problem we consider a more general case. Let fc > 0, fd > 0 and define a signal x as

x(t) = Acos(2pi(fc - fd)t) + Bcos(2pi(fc + fd)t)

(a) Use phasors to obtain a complex signal z(t) such that x(t) = R(z(t))

(b) By manipulating the expression for z(t) and then taking the real part, show that x(t) can be expressed in the form

x(t) = Ccos(2pi*fd*t)cos(2pi*fc*t) + Dsin(2pi*fd*t)sin(2pi*fc*t) and find expressions for C and D in terms of A and B.

Reference no: EM13218189

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