When finding the inverse Z-transform of a function with z 1 terms in the numerator, z 1 can be thought of a delay operator to

When finding the inverse Z-transform of a function with z^ˆ’1terms in the numerator, z^ˆ’1can be thought of a delay operator to simplify the calculation. For

(a) Use the Z-transform of u[n] and the properties of the Z-transform to find x[n].

(b) Use your result for x[n] above to express X(z) as a polynomial in negative powers of z.

(c) Find the poles and zeros of X(z) and plot them on the z-plane. Is there a pole or zero at z = 1? Explain.

- 10 X(z) = -1