Adaptive Equalization With A Second Order Gradient Algorithm
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A Successive Overrelaxation Iterative Technique for an Adaptive Equalizer
| Author | : Ostap S. Kosovych |
| Publisher | : |
| Total Pages | : 62 |
| Release | : 1973 |
| Genre | : Equalizers (Electronics) |
| ISBN | : |
This study deals with an adaptive strategy for the equalization of pulse-amplitude-modulated signals in the presence of intersymbol interference and additive note. The successive overrelaxation iterative technique is used as the algorithm for the iterative adjustment of the equalizer coefficients during a training period for the minimization of the mean square error. With 2-cyclic and non-negative Jacobi matrices substantial improvement was demonstrated in the rate of convergence over the commonly used gradient techniques. The Jacobi theorems were also extended to non-positive Jacobi matrices. Numerical examples strongly indicate that the improvements obtained for the special cases are possible for general channel characteristics. The technique was analytically demonstrated to decrease the mean square error (norm) at each iteration for a large range of parameter values for light or moderate intersymbol interference and for small intervals for general channels. Again, numerical examples indicate that the norm-decreasing property is valid for a much larger parameter range for all types of intersymbol interference. Analytically, convergence of the relaxation algorithm was proven in a noisy environment and the coefficient variance was demonstrated to be bounded. Numerical simulations conducted indicate that the relaxation algorithm consistently converged much faster than the gradient techniques; hence, it requires much less time in the training period than do the gradients.
Fundamentals of Adaptive Signal Processing
| Author | : Aurelio Uncini |
| Publisher | : Springer |
| Total Pages | : 725 |
| Release | : 2014-12-30 |
| Genre | : Technology & Engineering |
| ISBN | : 3319028073 |
This book is an accessible guide to adaptive signal processing methods that equips the reader with advanced theoretical and practical tools for the study and development of circuit structures and provides robust algorithms relevant to a wide variety of application scenarios. Examples include multimodal and multimedia communications, the biological and biomedical fields, economic models, environmental sciences, acoustics, telecommunications, remote sensing, monitoring and in general, the modeling and prediction of complex physical phenomena. The reader will learn not only how to design and implement the algorithms but also how to evaluate their performance for specific applications utilizing the tools provided. While using a simple mathematical language, the employed approach is very rigorous. The text will be of value both for research purposes and for courses of study.
A Rapid Introduction to Adaptive Filtering
| Author | : Leonardo Rey Vega |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 128 |
| Release | : 2012-08-07 |
| Genre | : Technology & Engineering |
| ISBN | : 3642302998 |
In this book, the authors provide insights into the basics of adaptive filtering, which are particularly useful for students taking their first steps into this field. They start by studying the problem of minimum mean-square-error filtering, i.e., Wiener filtering. Then, they analyze iterative methods for solving the optimization problem, e.g., the Method of Steepest Descent. By proposing stochastic approximations, several basic adaptive algorithms are derived, including Least Mean Squares (LMS), Normalized Least Mean Squares (NLMS) and Sign-error algorithms. The authors provide a general framework to study the stability and steady-state performance of these algorithms. The affine Projection Algorithm (APA) which provides faster convergence at the expense of computational complexity (although fast implementations can be used) is also presented. In addition, the Least Squares (LS) method and its recursive version (RLS), including fast implementations are discussed. The book closes with the discussion of several topics of interest in the adaptive filtering field.
Fundamentals of Adaptive Filtering
| Author | : Ali H. Sayed |
| Publisher | : John Wiley & Sons |
| Total Pages | : 1178 |
| Release | : 2003-06-13 |
| Genre | : Science |
| ISBN | : 9780471461265 |
This book is based on a graduate level course offered by the author at UCLA and has been classed tested there and at other universities over a number of years. This will be the most comprehensive book on the market today providing instructors a wide choice in designing their courses. * Offers computer problems to illustrate real life applications for students and professionals alike * An Instructor's Manual presenting detailed solutions to all the problems in the book is available from the Wiley editorial department. An Instructor's Manual presenting detailed solutions to all the problems in the book is available from the Wiley editorial department.
NASA Technical Report
| Author | : United States. National Aeronautics and Space Administration |
| Publisher | : |
| Total Pages | : 912 |
| Release | : 1972 |
| Genre | : Aerodynamics |
| ISBN | : |
Adaptive Filtering
| Author | : Paulo S. R. Diniz |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 636 |
| Release | : 2008-05-22 |
| Genre | : Technology & Engineering |
| ISBN | : 0387686061 |
This book presents the basic concepts of adaptive signal processing and adaptive filtering in a concise and straightforward manner, using clear notations that facilitate actual implementation. Important algorithms are described in detailed tables which allow the reader to verify learned concepts. The book covers the family of LMS and algorithms as well as set-membership, sub-band, blind, IIR adaptive filtering, and more. The book is also supported by a web page maintained by the author.
Adaptive Filtering
| Author | : Paulo Sergio Ramirez Diniz |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 594 |
| Release | : 2002 |
| Genre | : Adaptive filters |
| ISBN | : 9781402071256 |
Adaptive Filtering: Algorithms and Practical Implementation, Second Edition, presents a concise overview of adaptive filtering, covering as many algorithms as possible in a unified form that avoids repetition and simplifies notation. It is suitable as a textbook for senior undergraduate or first-year graduate courses in adaptive signal processing and adaptive filters. The philosophy of the presentation is to expose the material with a solid theoretical foundation, to concentrate on algorithms that really work in a finite-precision implementation, and to provide easy access to working algorithms. Hence, practicing engineers and scientists will also find the book to be an excellent reference. This second edition contains a substantial amount of new material: -Two new chapters on nonlinear and subband adaptive filtering; -Linearly constrained Weiner filters and LMS algorithms; -LMS algorithm behavior in fast adaptation; -Affine projection algorithms; -Derivation smoothing; -MATLAB codes for algorithms. An instructor's manual, a set of master transparencies, and the MATLAB codes for all of the algorithms described in the text are also available. Useful to both professional researchers and students, the text includes 185 problems; over 38 examples, and over 130 illustrations. It is of primary interest to those working in signal processing, communications, and circuits and systems. It will also be of interest to those working in power systems, networks, learning systems, and intelligent systems.
