Problem (6): Suppose a multi-path system causes both a delay and amplitude change y(t) = x(t) + .8x(t-1) Find the output when r(t) = cos(wt) for w= π/4 Problem (7): Find a two sided spectral representations for the following sinusoids, and plot the resulting spectrum (a) r(t) = 3 cos(.5t + π/2)

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Problem (6):
Suppose a multi-path system causes both a delay and amplitude change
y(t) = x(t) + .8x(t-1)
Find the output when r(t) = cos(wt) for w = π/4
Problem (7):
Find a two sided spectral representations for the following sinusoids, and plot the resulting spectrum
(a) r(t) = 3 cos(.5t + π/2)
Transcribed Image Text:Problem (6): Suppose a multi-path system causes both a delay and amplitude change y(t) = x(t) + .8x(t-1) Find the output when r(t) = cos(wt) for w = π/4 Problem (7): Find a two sided spectral representations for the following sinusoids, and plot the resulting spectrum (a) r(t) = 3 cos(.5t + π/2)
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