A cascade of three FIR discrete-time systems is depicted by the following block diagram: The systems are defined by the following: H_1(z) = (1 + z^-1)(l – 0.2z^-l) and h_2[n] = (0.8)^n u[n] and h_3[n] = (0.2)^n-1 u[n – 1] (a) Determine the simplified system function H(z) for the overall system (b) Determine the impulse response for the overall system (c) For the input x[n] = delta[n] – 0.8delta[n-l]; determine the output y[n]

55 2 - A cascade of three FIR discrete-time systems is depicted by the following block diagram: The systems are defined by the following: H_1(z) = (1 + z^-1)(l - 0.2z^-l) and h_2[n] = (0.8)^n u[n] and h_3[n] = (0.2)^n-1 u[n - 1] (a) Determine the simplified system function H(z) for the overall system (b) Determine the impulse response for the overall system (c) For the input x[n] = delta[n] - 0.8delta[n-l]; determine the output y[n]

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images - A cascade of three FIR discrete-time systems is depicted by the following block diagram: The systems are defined by the following: H_1(z) = (1 + z^-1)(l - 0.2z^-l) and h_2[n] = (0.8)^n u[n] and h_3[n] = (0.2)^n-1 u[n - 1] (a) Determine the simplified system function H(z) for the overall system (b) Determine the impulse response for the overall system (c) For the input x[n] = delta[n] - 0.8delta[n-l]; determine the output y[n]

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