Let X(t) be a wide-sense stationary random process with the autocorrelation function :

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Let X(t) be a wide-sense stationary random process with the autocorrelation function :

R_xx(τ)=e^-a|τ|

where a> 0 is a constant. Assume that X(t) amplitude modulates a carrier cos(2πf₀t+θ),

Y(t) = X(t) cos(2πf₀t+θ)

where θ is random variable on (-π,π) and is statistically independent of X(t).

a. Determine the autocorrelation function R_yy(τ) of Y(t), and also give a sketch of it.

b. Is y(t) wide-sense stationary as well?

engineering Electrical-Engineering

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Let X(t) be a wide-sense stationary random process with the autocorrelation function :

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Let X(t) be a wide-sense stationary random process with the autocorrelation function :

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