14 A linear time-invariant system is described by the following difference equation: y(n) = ay(n − 1) + bx(n), 0

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14 A Linear Time Invariant System Is Described By The Following Difference Equation Y N Ay N 1 Bx N 0 A 1 A 1 (67.08 KiB) Viewed 32 times

14 A linear time-invariant system is described by the following difference equation: y(n) = ay(n − 1) + bx(n), 0 <a<1 (a) Determine the magnitude and phase of the frequency response H(w) of the system. (b) Choose the parameter b so that the maximum value of |H(w)| is unity, and sketch |H(0)| and XH(w) for a = 0.9. (e) Determine the output of the system to the input signal *(n) = 5 + 12 sinn – 20 cos (nn + ) 15 Determine H(w)|2 for the system y(n) = -0.1y(n − 1) +0.2y(n - 2) + x(n) + x(n − 1)