Digital Filtering in One and Two Dimensions: Design and Applications

by M. Ahmadi, M. Azimi-Sadjadi, R. Gorgui-Naguib, R. King, A. Kwabwe

Overview

This book has been conceived to extend the generally published work on one- and two-dimensional digital filters in order to include some of the more recently developed ideas. It is intended to supplement and build on the classical books which cover the fundamental concepts of the topic. As a consequence of this, the basic theory is stated in a compact manner and is not developed thoroughly, as this would result in considerable duplication of existing books. The main theme of the book has been to provide a comprehensive background to the methods available for the realization of both recursive and nonrecursive digital filters, and to give an insight into some of the more recent implementation procedures. The book is planned to cover one- and two-dimensional systems in parallel, showing the techniques which are applicable in both areas, and also the limitations and constraints necessary when a one-dimensional technique is extended to systems of higher dimensionality. The theme of the book commences with several chapters on the design of filter transfer functions to meet given specifications. This is followed by a discussion of methods of implementing these in a practical system and the limitations imposed as a result of noise and finite word length. Finally, a discussion of some applications is included.

Product Details

ISBN-13:	9780306429767
Publisher:	Springer US
Publication date:	02/28/1989
Edition description:	1989
Pages:	466
Product dimensions:	6.14(w) x 9.21(h) x 0.36(d)

Table of Contents

1. Discrete Time/Space Linear Filtering.- 2. Nonrecursive Filters.- 3. Stability and Stabilization Techniques.- 4. Recursive Filters.- 5. Quantization and Roundoff Errors.- 6. Direct Realization and Implementation Using Linear Transformations.- 7. State-Space Description.- 8. Block Implementation of Digital Filters.- 9. Number Theoretic Transformation Techniques.- 10. Image Modeling.- 11. Applications.- 12. Case Studies.

Editorial Reviews

Supplements the general, classical literature on one and two- dimensional filters, assuming a background of convolution, z transformation, and Fourier transformation, along with the necessary mathematics. Covers the two systems in parallel, and shows the limitations of using one-dimensional techniques for multi-dimensional systems. Chapters include the techniques available for the design of recursive and non-recursive filter transfer functions, stability, quantization, linear transformations, state-space descriptions, and image modeling. Application examples include x-rays, image reconstruction, and quality-control for manufactured parts. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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