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Consider a causal continuous-time system with impulse response hc(t) and system function...

Consider a causal continuous-time system with impulse response hc(t) and system function

(a) Use impulse invariance to determine H1(z) for a discrete-time system such that h1[n] = hc(nT ).

(b) Use step invariance to determine H2(z) for a discrete-time system such that s2[n] = sc(nT ), where

(c) Determine the step response s1[n] of system 1 and the impulse response h2[n] of system 2. Is it true that h2[n] = h1[n] = hc(nT)? Is it true that s1[n] = s2[n] = sc(nT)?

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