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).