A system described by a rational transfer function H(z) has the following properties: (1) the system is causal; (2) h[n]

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A System Described By A Rational Transfer Function H Z Has The Following Properties 1 The System Is Causal 2 H N 1 (66.76 KiB) Viewed 69 times

A system described by a rational transfer function H(z) has the following properties: (1) the system is causal; (2) h[n] is real; (3) H(z) has a pole at z = 1/2 and exactly one zero; (4) the inverse system has two zeros; (5) Σº-oh[n]2™” = 0; and (6) h[0] = 1. (a) Is this system stable? (b) Is the inverse system both stable and causal? (c) Find h[n]. (d) Find the transfer function of the inverse system.