EEL 3135 HW#8 Due Date Nov 23(Tuesday Problem 1 An IIR...

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EEL 3135 HW #8 Due Date: Nov. 23 (Tuesday) Problem 1 An IIR filter is defined as:   n x n y n y 3 1 3 1 (a) Determine the system function H(z). What are its poles and zeros? (b) Suppose the input to the system is given as:   0 1 n x otherwise n 3 , 2 , 1 , 0 Determine the output signal y[n]. Assume y[n]=0 when n<0. Problem 2 Given an IIR filter defined as:     n x n y n y 2 4 (a)Determine the system function H(z). (b)Compute and plot its poles and zeros (c)Given the input to the system as:   0 2 n x otherwise n 2 , 1 , 0 Determine the output signal y[n]. Assume y[n]=0 when n<0. Is the output signal periodic? If yes, determine the period. Problem 3 Determine the inverse z-transform of the following H(z): (a) 1 1 8 . 0 1 4 1 ) ( z z z H (b) 1 2 5 . 0 1 2 ) ( z z z H (c) 1 3 2 . 0 1 ) ( z z z H (d) 5 2 1 7 . 0 3 . 0 2 ) ( z z z z H Problem 4
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