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X(t) is a random Process whose Power Spectral Density (PSD) is Sx​(ω)=2N0​​ for all ω. X(t) is passed through an LTI Sys

Posted: Wed Jul 13, 2022 5:07 am
by answerhappygod
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X(t) is a random Process whose Power Spectral Density (PSD) is Sx​(ω)=2N0​​ for all ω. X(t) is passed through an LTI System whose frequency vespouse is H(ω)=rec(4πω​). let Y(t) be the output vandom process. (1) find Rx​(τ) (the auto correlation function of x(4) ) (2) find the Total average Power in X(t) (3) Find Sy(w) (the PSD of Y(t) ) (4) Find RY​(τ) (the anto correlation function of Y(H)