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 zeros of x[z] and plot them in the z- plane. Use MATLAB to plot the poles and zeros.