EEL5701: HW#3

Due Thursday, May 28 at the beginning of class, late homework will not be accepted. Remember, the open-book Exam I will be held Thursday, June 4, 9:30am-12:30pm in NEB 102.

Do all of the following problems in Mitra. Justify all of your answers.

1.

3.34

2.

3.35

3.

3.37

4.

3.47

5.

3.63

6.

3.65

7.

3.66a

8.

3.71 (verification in Matlab is not necessary)

9.

Find the z-transform of

$$x[n]= \left\{ \begin{array}{cll} n& 0 \le n \le N-1\\ N& N \le n \\ \end{array}\right.$$

10.

Find the inverse z-transform of the following:

(a)

X(z)=(1+2z)(1+3z^-1)(1-z^-1)

(b)

X(z)=3z^-3/(1-z^-1/4)² assume that x[n] is left-sided.