For each of the following pairs of systems, determine the system function H,(z) and the impulse...
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For each of the following pairs of systems, determine the system function H,(z) and the impulse response h,,[n] for the parallel interconnection of the two systems and likewise H (2) and h[n] for the cascade interconnection. (a) h[n] =a"u[n] and h₂[n] =a"u[n-1]. (b) h[n] =h₂[-n] = a"u[n], |a|<1. (c) h[n] = a"u[n] and h[n] =b" 'u[n 1], a b. (d) h[n] = (ja)"u[n] and h₂[n] = (-ja)" u[n]. (e) h,[n] = eu[n] and h₂[n] = eu[n]. For each of the following pairs of systems, determine the system function H,(z) and the impulse response h,,[n] for the parallel interconnection of the two systems and likewise H (2) and h[n] for the cascade interconnection. (a) h[n] =a"u[n] and h₂[n] =a"u[n-1]. (b) h[n] =h₂[-n] = a"u[n], |a|<1. (c) h[n] = a"u[n] and h[n] =b" 'u[n 1], a b. (d) h[n] = (ja)"u[n] and h₂[n] = (-ja)" u[n]. (e) h,[n] = eu[n] and h₂[n] = eu[n].
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