# Nonlinear Digital Filters: Analysis and Applications

Academic Press, Jul 27, 2010 - Technology & Engineering - 216 pages

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, "real-world" applications of nonlinear digital filter
• Includes many examples.

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### Contents

 Chapter 1 Introduction 1 Chapter 2 Reviews 8 Chapter 3 Quantization in Digital Filters 32 Chapter 4 Saturation in Digital Filters 53 Chapter 5 Autonomous Response of Digital Filters with Twos Complement Arithmetic 61 Chapter 6 Step Response of Digital Filters with Twos Complement Arithmetic 78 Chapter 7 Sinusoidal Response of Digital Filters with Twos Complement Arithmetic 114
 Chapter 8 Twos Complement Arithmetic in Complex Digital Filters 139 Chapter 9 Quantization and Twos Complement Arithmetic in Digital Filters 152 Chapter 10 Properties and Applications of Digital Filters with Nonlinearities 172 Further Reading 199 Index 205 Copyright

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