Nonlinear Digital Filters (eBook)

Analysis and Applications

W. K. Ling (Autor)

eBook Download: PDF

2010 | 1. Auflage
216 Seiten
Elsevier Science (Verlag)
978-0-08-055001-5 (ISBN)

Infos

This book provides an easy to understand overview of nonlinear behavior in digital filters, showing how it can be utilized or avoided when operating nonlinear digital filters. It gives techniques for analyzing discrete-time systems with discontinuous linearity, enabling the analysis of other nonlinear discrete-time systems, such as sigma delta modulators, digital phase lock loops and turbo coders.

Features:
. Uses new methods based on symbolic dynamics, enabling the engineer more easily to operate reliable nonlinear digital filters
. Gives practical, 'real-world' applications of nonlinear digital filter
. Includes many examples, together with Matlab source code available on an accompanying website

Nonlinear Digital Filters: Analysis and Applications is ideal for professional engineers working with signal processing applications, as well as advanced undergraduates and graduates conducting a nonlinear filter analysis project.

Companion website at http://books.elsevier.com/9780123725363

? Uses new methods based on symbolic dynamics, enabling the engineer more easily to operate reliable nonlinear digital filters
? Gives practical, 'real-world' applications of nonlinear digital filter
? Includes many examples, together with Matlab source code available on an accompanying website

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Nonlinear Digital Filters provides an easy to understand overview of nonlinear behavior in digital filters, showing how it can be utilized or avoided when operating nonlinear digital filters. It gives techniques for analyzing discrete-time systems with discontinuous linearity, enabling the analysis of other nonlinear discrete-time systems, such as sigma delta modulators, digital phase lock loops, and turbo coders. It uses new methods based on symbolic dynamics, enabling the engineer to easily operate reliable nonlinear digital filters. It gives practical, 'real-world' applications of nonlinear digital filters and contains many examples. The book is ideal for professional engineers working with signal processing applications, as well as advanced undergraduates and graduates conducting a nonlinear filter analysis project. - Uses new methods based on symbolic dynamics, enabling the engineer more easily to operate reliable nonlinear digital filters- Gives practical, "e;real-world"e; applications of nonlinear digital filter- Includes many examples.

Inhalt

Front Cover 1
Nonlinear Digital Filters 4
Copyright Page 5
Contents 6
Preface 8
Chapter 1 Introduction 12
Why are digital filters associated with nonlinearities? 12
Challenges for the analysis and design of digital filters associated with nonlinearities 17
An overview 18
Chapter 2 Reviews 19
Mathematical preliminary 19
Backgrounds on signals and systems 24
Backgrounds on sampling theorem 36
Backgrounds on bifurcation theorem 38
Absolute stability theorem 39
Exercises 39
Chapter 3 Quantization in Digital Filters 43
Model of quantizer 43
Quantization noise analysis 47
Optimal code design 53
Summary 62
Exercises 63
Chapter 4 Saturation in Digital Filters 64
System model 64
Oscillations of digital filters associated with saturation nonlinearity 65
Stability of oscillations of digital filters associated with saturation nonlinearity 69
Summary 70
Exercises 71
Chapter 5 Autonomous Response of Digital Filters with Two's Complement Arithmetic 72
System model 72
Linear and affine linear behaviors 74
Limit cycle behavior 81
Chaotic behavior 86
Summary 88
Exercises 88
Chapter 6 Step Response of Digital Filters with Two's Complement Arithmetic 89
Affine linear behavior 89
Limit cycle behavior 103
Fractal behavior 115
Summary 120
Exercises 120
Chapter 7 Sinusoidal Response of Digital Filters with Two's Complement Arithmetic 125
No overflow case 125
Overflow case 138
Summary 149
Exercises 149
Chapter 8 Two's Complement Arithmetic in Complex Digital Filters 150
First order complex digital filters 150
Second order complex digital filters 155
Summary 161
Exercises 162
Chapter 9 Quantization and Two's Complement Arithmetic in Digital Filters 163
Nonlinear behavioral differences of finite and infinite state machines 163
Nonlinear behavior of unstable second order digital filters 167
Nonlinear behaviors of digital filters with arbitrary orders and initial conditions 173
Summary 181
Exercises 182
Chapter 10 Properties and Applications of Digital Filters with Nonlinearities 183
Admissibility of symbolic sequences 183
Statistical property 190
Computer cryptography via digital filters associated with nonlinearities 199
Summary 206
Exercises 208
Further Reading 210
Index 216
A 216
B 216
C 216
D 216
E 216
F 216
G 216
H 216
I 216
J 216
L 216
M 217
N 217
O 217
P 217
Q 217
R 217
S 217
T 217
U 217

Produkt-Details

• Erscheint lt. Verlag: 27.7.2010
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Informatik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Elektrodynamik
• Themenwelt: Technik ► Elektrotechnik / Energietechnik
• Themenwelt: Technik ► Nachrichtentechnik
• ISBN-10: 0-08-055001-0 / 0080550010
• ISBN-13: 978-0-08-055001-5 / 9780080550015