Discrete-time filter was designed by the impulse invariance

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The system function of a discrete-time system is

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(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).

Reference no: EM131140566

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