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If {Xt} and {Yt} are uncorrelated weak stationary processes with spectral functions FX (·) and FY...

If {Xt} and {Yt} are uncorrelated weak stationary processes with spectral functions FX (·) and FY (·), show that the process {Zt := Xt+Yt} is weak stationary and determine its spectral distribution function.

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