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Determine the discrete-time system

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1. A discrete-time system is described by the following difference equation

y[n]=1.15y[n-1]-1.5y[n-2]+0.7y[n-3]-0.25y[n-4]+0.18x[n] +0.1x[n-1]+0.3x[n-2]+0.1x[n-3]+0.18x[n-4] with zero initial conditions.

(a) Compute and plot the impulse response h[n],0= n = 100 using the function h=impz(b,a,N).

(b) Compute and plot the output y[n], ifx[n]=u[n],0= n=100 using the function y=filter(b,a,x).

(c) Compute and plot the output y[n], ifx[n]=u[n],0= n=100 using the function y=conv(h,x).

(d) Compute and plot the output y[n], ifx[n]=u[n],0= n=100 using the function y=filter(h,1,x). Compare and explain the obtained results

Reference no: EM13888430

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