Nonlinear digital filters : analysis and applications / Wing-Kuen Ling.

Format:

Book

Author/Creator:

Ling, Wing-Kuen.

Contributor:

Hazel M. Hussong Fund.

Language:

English

Subjects (All):

Electric filters, Digital.

Electric networks, Nonlinear.

Physical Description:

viii, 206 pages : illustrations ; 24 cm

Place of Publication:

Amsterdam ; Boston ; London : Academic, 2007.

Summary:

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 filters, 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.

Contents:

Why are digital filters associated with nonlinearities? 1

Challenges for the analysis and design of digital filters associated with nonlinearities 6

Mathematical preliminary 8

Backgrounds on signals and systems 13

Backgrounds on sampling theorem 25

Backgrounds on bifurcation theorem 27

Absolute stability theorem 28

Chapter 3 Quantization in Digital Filters 32

Model of quantizer 32

Quantization noise analysis 36

Optimal code design 42

Chapter 4 Saturation in Digital Filters 53

System model 53

Oscillations of digital filters associated with saturation nonlinearity 54

Stability of oscillations of digital filters associated with saturation nonlinearity 58

Chapter 5 Autonomous Response of Digital Filters with Two's Complement Arithmetic 61

System model 61

Linear and affine linear behaviors 63

Limit cycle behavior 70

Chaotic behavior 75.

Notes:

Includes bibliographical references (pages 199-203) and index.

Local Notes:

Acquired for the Penn Libraries with assistance from the Hazel M. Hussong Fund.

ISBN:

9780123725363

0123725364

OCLC:

82671640