Given the DSP system: y[n] = 2x[n] - 4x[n-1] - 0.5y[n-1] - y[n-2] (a) With initial conditions y(-2) = 1, y(-1) = 0, x(-1) = -1, and the input x[n] = (0.8)"u[n], compute the system response y[n] for 20...

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Extracted text: Given the DSP system: y[n] = 2x[n] - 4x[n-1] - 0.5y[n-1] - y[n-2] (a) With initial conditions y(-2) = 1, y(-1) = 0, x(-1) = -1, and the input x[n] = (0.8)"u[n], compute the system response y[n] for 20 samples. (b) With ZERO initial conditions, and the input x[n] = (0.8)"u[n], compute the system response y[n] for 20 samples.