Nonlinear Signal and Image Processing: Theory, Methods, and Applications, 1st Edition (Hardback) book cover

Nonlinear Signal and Image Processing

Theory, Methods, and Applications, 1st Edition

Edited by Kenneth E. Barner, Gonzalo R. Arce

CRC Press

560 pages | 472 B/W Illus.

Purchasing Options:$ = USD
Hardback: 9780849314278
pub: 2003-11-24
SAVE ~$27.75
Currently out of stock
$185.00
$157.25
x
eBook (VitalSource) : 9780429214684
pub: 2003-11-24
from $28.98


FREE Standard Shipping!

Description

Nonlinear signal and image processing methods are fast emerging as an alternative to established linear methods for meeting the challenges of increasingly sophisticated applications. Advances in computing performance and nonlinear theory are making nonlinear techniques not only viable, but practical.

This book details recent advances in nonlinear theory and methods and explores an array of modern signal and image processing applications. The first several chapters focus on nonlinear signal processing theory, targeting three critical areas: filter analysis, nonlinear filter class design, and signal analysis. The remaining chapters explore nonlinear approaches across the broad spectrum of applications with signal processing components, from data traffic modeling and image enhancement to cutting edge applications in genomics.

All of the chapters were contributed by well-known theorists and application-driven researchers who explore current and emerging nonlinear methods from their theoretical background and practical algorithms through the potential of these methods for solving important open questions. Nonlinear Signal and Image Processing: Theory, Methods, and Applications thus provides a singular opportunity to build a strong, fundamental understanding of nonlinear theory and methods and a foundation upon which to approach many of today's most interesting and challenging signal processing problems.

Table of Contents

ENERGY CONSERVATION IN ADAPTIVE FILTERING

The Data Model

Energy-Conservation Relation

Weighted Variance Relation

Mean-Square Behavior

Mean-Square Stability

Steady-State Performance

Small Step-Size Approximation

Applications to Selected Filters

Fourth-Order Moment Approximation

Long Filter Approximation

Adaptive Filters with Error Nonlinearities

An Interpretation of the Energy Relation

Concluding Remarks

FUZZY METHODS IN NONLINEAR SIGNAL PROCESSING: PART I - THEORY

Maximum Likelihood Estimation and Spatial--Rank Ordering

Sample Affinity and Fuzzy Spatial--Rank Ordering

Fuzzy Filter Definition

Extensions to Multivariate Data

Conclusion

FUZZY METHODS IN NONLINEAR SIGNAL PROCESSING: PART II - APPLICATIONS

Introduction

Affine Filter Applications

Fuzzy Ordering and Fuzzy Median Filter Applications

Conclusions

TIME-FREQUENCY WIGNER DISTRIBUTION APPROACH TO DIFFERENTIAL EQUATIONS

Harmonic Oscillator with Chirp Driving Force

Approximation Method

Stochastic Processes

Partial Differential Equations

Conclusion

Acknowledgment

Appendix 1. Notations and definitions

APPENDIX 2. ORDINARY DIFFERENTIAL EQUATIONS

WEIGHTED MYRIAD FILTERS

Alpha-Stable Distributions

Running Myriad Smoothers

Optimality of the Sample Myriad in the Stable Model

Weighted Myriad Smoothers

Fast Weighted Myriad Computation

Weighted Myriad Smoother Design

Weighted Myriad Filters With Real-Valued Weights

Fast Real-valued Weighted Myriad Computation

Weighted Myriad Filter Design

DATA TRAFFIC MODELING - A SIGNAL PROCESSING PERSPECTIVE

Preliminaries-Self-similarity, Long-Range Dependence and Impulsiveness

The Self-similarity and Impulsive Nature of Data Traffic

Modeling Impulsive Self-Similar Data Traffic

Parameter Estimation

Concluding Remarks

NONLINEAR ADAPTIVE FILTERS FOR ACOUSTIC ECHO CANCELLATION IN MOBILE TERMINALS

Low-Complexity Nonlinear Adaptive Acoustic Echo Cancelers

Adaptive Algorithms for Nonlinear Acoustic Echo Cancelers

Experimental Results for Acoustic Echo Cancellation

Conclusions

BLIND AND SEMI-BLIND CHANNEL ESTIMATION

Introduction

Time-Varying Channel Model

Signal Properties Used in Blind Equalization

Receivers for MIMO Systems

Blind Receivers for Practical Wireless Systems

Blind Receivers for CDMA

Semi-Blind Techniques

Conclusion

BAYESIAN IMAGE AND VIDEO ENHANCEMENT USING A NON-GAUSSIAN PRIOR

Image and Video Observation Models

Regularization of Ill-Posed Inverse Problems

Simulations

Summary and Future Directions

STATISTICAL IMAGE MODELING AND PROCESSING USING WAVELET DOMAIN HIDDEN MARKOV MODELS

Wavelet-Domain Hidden Markov Models

Image Denoising

Image Segmentation

Conclusions

SELF-ORGANIZING MAPS AND THEIR APPLICATIONS IN IMAGE PROCESSING, INFORMATION ORGANIZATION, AND RETRIEVAL

Basic Feature-Mapping Models

Kohonen's Self-Organizing Map

Convergence Analysis of Self-Organizing Maps

Self-Organizing Map Properties

Variants of Self-Organizing Maps Based on Robust Statistics

A Class of Split-Merge Self-Organizing Maps

Conclusions

NONLINEAR TECHNIQUES FOR COLOR IMAGE PROCESSING

Adaptive Noise Reduction Filtering

Anisotropic Diffusion

Noise Reduction Filters for Color Image Processing

Digital Paths Approach to Color Image Filtering

Efficiency of the New Filter Class

GENETIC REGULATORY NETWORKS: A NONLINEAR SIGNAL PROCESSING PERSPECTIVE

Genetic Regulatory Networks

Boolean Networks

Concluding Remarks

About the Series

Electrical Engineering & Applied Signal Processing Series

Learn more…

Subject Categories

BISAC Subject Codes/Headings:
TEC007000
TECHNOLOGY & ENGINEERING / Electrical
TEC015000
TECHNOLOGY & ENGINEERING / Imaging Systems