Nonlinear Signal and Image Processing: Theory, Methods, and Applications (Electrical Engineering & Applied Signal Processing Series)

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. Front Cover......Page 1 Dedication......Page 8 Preface......Page 10 Editors......Page 16 Contributors......Page 18 Contents......Page 22 1. Energy Conservation in Adaptive Filtering......Page 24 2. Fuzzy Methods in Nonlinear Signal Processing: Part I—Theory......Page 60 3. Fuzzy Methods in Nonlinear Signal Processing: Part II—Applications......Page 92 4. Time-Frequency Wigner Distribution Approach to Differential Equations......Page 144 5. Weighted Myriad Filters......Page 174 6. Data Traffic Modeling—A Signal Processing Perspective......Page 218 7. Nonlinear Adaptive Filters for Acoustic Echo Cancellation in Mobile Terminals......Page 246 8. Blind and Semiblind Channel Estimation......Page 280 9. Bayesian Image and Video Enhancement Using a Non-Gaussian Prior......Page 318 10. Statistical Image Modeling and Processing Using Wavelet-Domain Hidden Markov Models......Page 356 11. Self-Organizing Maps and Their Applications in Image Processing, Information Organization, and Retrieval......Page 410 12. Nonlinear Techniques for Color Image Processing......Page 468 13. Genetic Regulatory Networks: A Nonlinear Signal Processing Perspective......Page 530 Index......Page 548 The study of the steady-state and transient performance of adaptive filters is a challenging task because of the nonlinear and stochastic nature of their update equations (e.g., References 1 to 4).