The system function of a discrete-time system is
(a) Assume that this discrete-time filter was designed by the impulse invariance method with Td = 2; i.e., h[n] = 2hc(2n), where hc(t) is real. Find the system function Hc(s) of a continuous-time filter that could have been the basis for the design. Is your answer unique? If not, find another system function Hc(s).
(b) Assume that H(z) was obtained by the bilinear transform method with Td = 2. Find the system function Hc(s) that could have been the basis for the design. Is your answer unique? If not, find another Hc(s).
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