Question: Suppose the three systems are connected in cascade, where the output of S1 is the input to S2, and the output of S2 is

Suppose the three systems are connected in cascade, where the output of

Suppose the three systems are connected in cascade, where the output of S1 is the input to S2, and the output of S2 is the input to S3. THe three systems are specified as follows: S1= yl[n]= x1[n]-x1[n-1] S2= y2[n]=x2[n]+x2[n-2] S3= y3[n]=x3[n-1] + x3[n-2] where the output of Si is yi[n] and its input xi[n] a) Determine the frequency responses of the three indiivudal systems. b) Determine the overall frequency response of the cascade system as a simple formula. C) Determine the difference equation of the equivalent system that is a single operation from the input x[n] (into S1) to the overall output y[n], which is the output of S3. Thus, x[n] is xl[n] and y[n] is y3[n].

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