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Using MATLAB CODE please! 377 Consider a discrete-time LTI system governed by the following difference equation Y[n] 1.8cos E Ju[n 1] +0.81y[n 2]=x[n] 2cos SA

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Using MATLAB CODE please!

377 Consider a discrete-time LTI system governed by the following difference equation Y[n] 1.8cos E Ju[n 1] +0.81y[n 2]=x[n] 2cos SA ja{n 1] + x[n 2] 1) Determine an analytical expression of the frequency response H(S) of this system. 2) Plot and discuss the frequency response (both amplitude and phase). 3) Assume y-1)= y[-2]=0 and x[n] = cos u[n]. Compute, plot and discuss y[n] for n20. 4) Assume x[n]=co Determine an analytical expression of y[n]. Plot this y[n] for n20 and compare it with the plot from 3). 5) Assume y-1)= y[-2]=0 and x[n nu[n]. Compute, plot and discuss y[n] for n20. 6) Assume x[n] = cosn. Determine an analytical expression of y[n]. Plot this y[n] for n20 and compare it with the plot from 5). 377 Consider a discrete-time LTI system governed by the following difference equation Y[n] 1.8cos E Ju[n 1] +0.81y[n 2]=x[n] 2cos SA ja{n 1] + x[n 2] 1) Determine an analytical expression of the frequency response H(S) of this system. 2) Plot and discuss the frequency response (both amplitude and phase). 3) Assume y-1)= y[-2]=0 and x[n] = cos u[n]. Compute, plot and discuss y[n] for n20. 4) Assume x[n]=co Determine an analytical expression of y[n]. Plot this y[n] for n20 and compare it with the plot from 3). 5) Assume y-1)= y[-2]=0 and x[n nu[n]. Compute, plot and discuss y[n] for n20. 6) Assume x[n] = cosn. Determine an analytical expression of y[n]. Plot this y[n] for n20 and compare it with the plot from 5)

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