5. Consider a WSS process who] generate by a real, zero mean, white noise sequence with 1variance 1 as shown in Figure 1. Let H1(z}:[1 2:3: 1} and H2(z] = [1 + $3 1]. 1.1.:[11] x[n] "["1 H1 {5} HzEE) " G (5} Figure 1: {a} Find the power spectral densityF and autocorrelation sequence of the process u]. {b} Find all second order F IR. LT] systems that when excited by a zero mean, white noise sequence, of variance 1 will generate a tandem process with the same FSD as that of :r:[n.]. {c} Design a whitening lter G[z} with input s:[n.] and whose output who] is a zero mean, white noise sequence, of variance 1. {(1} Find the transfer function between w[n] and *u[u] and comment on its nature