Exercise 7.  Prove the following properties of z-transforms.

7 (d).  Differentiation:    [Graphics:Images/ZTransformIntroModHome_gr_208.gif].

Solution 7 (d).

See text and/or instructor's solution manual.

                    [Graphics:../Images/ZTransformIntroModHome_gr_220.gif]   

and it follows that

                     [Graphics:../Images/ZTransformIntroModHome_gr_221.gif]  

Therefore,

                    [Graphics:../Images/ZTransformIntroModHome_gr_222.gif].

 

  

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

This solution is complements of the authors.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) 2008 John H. Mathews, Russell W. Howell