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2.6. (a) Find the frequency response H(ej) of the linear time-invariant system whose input and
output satisfy the difference equation y[n]21y[n1]=x[n]+2x[n1]+x[n2]. (b) Write a difference
equation that characterizes a system whose frequency response is H(ej)=1+21ej+13ej2121ej+ej3

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  • 1. 2.6. (a) Find the frequency response H(ej) of the linear time-invariant system whose input and output satisfy the difference equation y[n]21y[n1]=x[n]+2x[n1]+x[n2]. (b) Write a difference equation that characterizes a system whose frequency response is H(ej)=1+21ej+13ej2121ej+ej3