Exercise 3.  Show that the z-transform of the delayed unit-step sequence is     is    .  

Solution 3.

See text and/or instructor's solution manual.

                    

Therefore,

                    .  

We are done.   

Aside.  We can let Mathematica double check our work.

Aside.  We can use Mathematica's ZTransform subroutine.

We are really done.   

Aside.  We shall illustrate this and use    and the sequence   

          The Maple code for    is  

  

                                                            

 Aside.  We can graph some of the terms in the sequence.

                                                                                                                        The sequence   .   

This solution is complements of the authors.

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