Consider an LTI system described by the following LCCDE: 5 y[n 1] -y[n] + y[n+...

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Consider an LTI system described by the following LCCDE: 5 y[n − 1] -y[n] + y[n+ 1] = x[n] The system may or may not be causal or stable. 1) Obtain the transfer function of the system H(z); 2) By considering the pole-zero plot, determine all possible conditions of ROC, and discuss the causality and stability of system for each case; 3) By considering the pole-zero plot, roughly sketch the magnitude spectrum of H(ej"). Consider an LTI system described by the following LCCDE: 5 y[n − 1] -y[n] + y[n+ 1] = x[n] The system may or may not be causal or stable. 1) Obtain the transfer function of the system H(z); 2) By considering the pole-zero plot, determine all possible conditions of ROC, and discuss the causality and stability of system for each case; 3) By considering the pole-zero plot, roughly sketch the magnitude spectrum of H(ej").

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1 Taking Ztransform of both sides we get z1Hz zHz zHz 1 ... View the full answer