Solution Manual Mathematical Methods And Algorithms For Signal Processing -

(DTFT of ( r_xx[k] )) [ S_xx(e^j\omega) = \sum_k=-\infty^\infty r_xx[k] e^-j\omega k = \sum_k r_ss[k] e^-j\omega k + \sigma_w^2 \sum_k \delta[k] e^-j\omega k ] [ \boxed S_xx(e^j\omega) = S_ss(e^j\omega) + \sigma_w^2 ]

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[ = E[s[n]s[n+k]] + E[s[n]w[n+k]] + E[w[n]s[n+k]] + E[w[n]w[n+k]] ] (DTFT of ( r_xx[k] )) [ S_xx(e^j\omega) =