Consider the signal m(t) = 6cos(87t)+2cos(47t) (a) Calculate the average power P, of the signal. (b) Find and plot the power spectral density S„(f) of the signal. (c) Find the autocorrelation function of w(t). [Hint: 2cosxcos y=cos(x+ y)+cos(x- y); 2cos² x=(1+cos 2x)] %3D

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Consider the signal
m(t) = 6cos(87t)+2cos(47t)
(a) Calculate the average power P, of the signal.
(b) Find and plot the power spectral density S„(f) of the signal.
W
(c) Find the autocorrelation function of w(t).
[Hint: 2cosxcos y = cos(x+y)+cos(x- y); 2cos² x=(1+cos 2x)]
Transcribed Image Text:Consider the signal m(t) = 6cos(87t)+2cos(47t) (a) Calculate the average power P, of the signal. (b) Find and plot the power spectral density S„(f) of the signal. W (c) Find the autocorrelation function of w(t). [Hint: 2cosxcos y = cos(x+y)+cos(x- y); 2cos² x=(1+cos 2x)]
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