A wide sense stationary process xt with autocorrelation, Basic Statistics

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A wide sense stationary process xt with autocorrelation

A wide sense stationary process X(t) with autocorrelation function R_X (τ ) = 100e^{-100|τ |} is the input to an R_C filter with impulse response

The filter output process has average power E[Y²(t)] = 100.

(a) Find the output autocorrelation R_Y (τ ).

(b) What is the value of R_C?

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Basic Statistics: A wide sense stationary process xt with autocorrelation

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Basic Statistics: A wide sense stationary process xt with autocorrelation

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