1549312215-Complex_Analysis_for_Mathematics_and_Engineering_5th_edition__Mathews

344 CHAPTER 9 • Z-TRANSFORMS AND APPLICATIONS

The following two theorems about z-tra.nsforms are useful in finding the
solution to a difference equation.

9.1.4 Propert ies of the z-trans form

The properties of z- transforms listed in Table 9.2 are well known in the field of

digital signal analysis. The reader will be asked to prove some of these properties

in the exercises.

• EXAMPLE 9. 7 Use convolution to show that the z-transform of w(n] = n + 1

is W(z) = (,,:_~)'.