Let x(t) be a wide sense stationary random process with auto correction function R„(t) = e*1*1, Where a > 0 is a constant. We assume x(t) "amplitude modulates" a "carrier" cos(o,t + 0), where o, is a constant and 0 is a random variable uniform on (-T, T) that is statistically independent of x(t). Determine the auto correlation function of y(t). GE 99 GE

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Let x(t) be a wide sense stationary random
process with auto correction function
R(t) = elt
%3D
XX
Where a > 0 is a constant.
We assume x(t) "amplitude modulates" a
"carrier" cos(@,t + 0), where o, is a constant
and 0 is a random variable uniform on (-T, T)
that is statistically independent of x(t).
Determine the auto correlation function of y(t).
GE
Transcribed Image Text:Let x(t) be a wide sense stationary random process with auto correction function R(t) = elt %3D XX Where a > 0 is a constant. We assume x(t) "amplitude modulates" a "carrier" cos(@,t + 0), where o, is a constant and 0 is a random variable uniform on (-T, T) that is statistically independent of x(t). Determine the auto correlation function of y(t). GE
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