1. (20 points) Consider an eight-phase Phase Shift Keying signal represented by the equivalent lowpass signal u(t) = Σn

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1. (20 points) Consider an eight-phase Phase Shift Keying signal represented by the equivalent lowpass signal u(t) = Σn Ing(t – nT) where -1 if-<t≤0 g(t) = { 7 1 if 0<t< where In = {², k = 1,...,8} all equally likely and I, is independent from In+1 for all n. € (a) (10 points) Determine the power spectral density of u(t). (b) (10 points) Now let Jn = In +2In+1-21₂-1 and w(t) = EΣJng(t-nT). Determine the power spectral density of w(t).