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
LPfilter 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)