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Find the spectrum of the modulated signal given in Prob. 4–14 by two methods:
(a) By direct evaluation using the Fourier transform of s(t).
(b) By the use of Eq. (4–12).
Prob. 4–14
Let a modulated signal,
where the unmodulated carrier is 500 cos ωct.
(a) Find the complex envelope for the modulated signal. What type of modulation is involved? What is the modulating signal?
(b) Find the quadrature modulation components x(t) and y(t) for this modulated signal.
(c) Find the magnitude and PM components R(t) and θ(t) for this modulated signal.
(d) Find the total average power, where s(t) is a voltage waveform that is applied across a 50-Ω load
Eq. (4–12)