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1 0.5 Q. 1. Consider the autocorrelation matrix of x[n], I'M = and the 0.5 1 0.25 cross-correlation vector between x(n] and d(n], Yd =

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1 0.5 Q. 1. Consider the autocorrelation matrix of x[n], I'M = and the 0.5 1 0.25 cross-correlation vector between x(n] and d(n], Yd = -0.25 1. Find hopt hopt [0] hopt [1] directly. 2. Let u = 0.1 and hM(0) = use the LMS algorithm to find hopt. 3. Let u = 0.35 and hu(0) = ] use the LMS algorithm to find hopt. For each case plot the evolution graphs of the filter parameters , i.e., hM 0] (n) versus n and hy[1] (n) versus n

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