Signal Processing and Integrated Circuits

Answers to Selected Problems

Chapter 2

2.1

a.

b.

c.

d.

e.

f. .

2.2 .

2.3

2.4

2.5 (a) Wide-sense stable, (b) unstable, (c) unstable, (d) unstable, (e) BIBO stable, (f) unstable.

Chapter 3

3.1 Degree = 11.

3.2 Degree = 6.

3.3 Degree = 8.

3.4 Degree = 4.

3.5 Degree = 22.

Chapter 4

4.1

a. 1 + z⁻³ + z⁻⁴ + z⁻⁵ + z⁻⁶

b. 1 + z⁻¹ − z⁻² − z⁻³

c.

d.

e.

f.

g. , |z| > 1

h. , |z| > 1

i.

j.

4.2 (a) f(n) = ...