Nonlinear Digital Filters: Principles and Applications / Edition 1

by Ioannis Pitas, Anastasios N. Venetsanopoulos

Overview

The function of a filter is to transform a signal into another one more suitable for a given purpose. As such, filters find applications in telecommunications, radar, sonar, remote sensing, geophysical signal processing, image processing, and computer vision. Numerous authors have considered deterministic and statistical approaches for the study of passive, active, digital, multidimensional, and adaptive filters. Most of the filters considered were linear although the theory of nonlinear filters is developing rapidly, as it is evident by the numerous research papers and a few specialized monographs now available. Our research interests in this area created opportunity for cooperation and coauthored publications during the past few years in many nonlinear filter families described in this book. As a result of this cooperation and a visit from John Pitas on a research leave at the University of Toronto in September 1988, the idea for this book was first conceived. The difficulty in writing such a monograph was that the area seemed fragmented and no general theory was available to encompass the many different kinds of filters presented in the literature. However, the similarities of some families of nonlinear filters and the need for such a monograph providing a broad overview of the whole area made the project worthwhile. The result is the book now in your hands, typeset at the Department of Electrical Engineering of the University of Toronto during the summer of 1989.

Product Details

ISBN-13:	9781441951205
Publisher:	Springer US
Publication date:	12/09/2010
Series:	The Springer International Series in Engineering and Computer Science , #84
Edition description:	Softcover reprint of hardcover 1st ed. 1990
Pages:	392
Product dimensions:	6.10(w) x 9.25(h) x 0.03(d)

Table of Contents

1. Introduction.- 2. Statistical preliminaries.- 3. Image formation.- 4. Median filters.- 5. Digital filters based on order statistics.- 6. Morphological image and signal processing.- 7. Homomorphie filters.- 8. Polynomial filters.- 9. Adaptive nonlinear filters.- 10. Generalizations and new trends.- 11. Algorithms and architectures.

Editorial Reviews

To date, no unifying theory has been developed which encompasses nonlinear filters in the same theoretical framework. This book takes strides in that direction by organizing nonlinear filter classes in a concise way and stretching their common properties. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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