Week 8

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