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(Solved): P1. Consider the signal x(t)=1 2cos(1000\pi t) 3cos(3000\pi t) a) Find the PSD P_(s)(f) and the auto ...



P1. Consider the signal

x(t)=1 2cos(1000\pi t) 3cos(3000\pi t)

a) Find the PSD

P_(s)(f)

and the autocorrelation

R_(s)(\tau )

b) If

x(t)

is an input to the

LP

filter whose frequency response is

H(f)=(1)/(1 j2\pi f)

,find the pso

P,(f)

of the corresponding output. c) What is the equivalent noise bandwidth of

H(f)

? P2. Given a linear filter with frequency response given by

x(t)=Asin\sigma _(t)t n(t)n(t)P_(t)(f)=(N_(0))/(2)


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