Z-Transform
Computation of Z-transform - MATLAB
Consider a discrete-time pulse x[n] = u[n] - u[n - 10].
a) Plot x[n] as a function of n and use the definition of the Z-transform to find X(z).
b) Use the Z-transform of u[n] and properties of the Z-transform to find X(z). Verify that the expressions obtained above for X(z) are identical.
c) Find the poles and the zeros of X(z) and plot them in the z-plane. Use MATLAB to plot the poles and zeros.