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  1. For a discrete-time signal x[n] with the z-Transform find the z-Transform, V(z) for the signal .
  2. Find the Fourier Transform for the convolution of sin(2t)*cos(2t).
  3. Compute the inverse Fourier transform for
  4. Compute the unit-­pulse response h[n] for the discrete-­time system y[n + 2]­ - 2y[n + 1] + y[n] = x[n] (for n = 0, 1, 2, 3).
  5. Compute the z­-transform of the discrete time signal defined by
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