Research Catalog

Binary polynomial transforms and nonlinear digital filters

Title
Binary polynomial transforms and nonlinear digital filters / S. Agaian, J. Astola, K. Egiazarian.
Author
Agaian, S. S.
Publication
New York : M. Dekker, ©1995.

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Details

Additional Authors
  • Astola, Jaakko.
  • Egiazarian, K. (Karen), 1959-
Description
xix, 302 pages : illustrations; 24 cm.
Summary
This unique reference offers a unified presentation of the theory of binary polynomial transforms and details their numerous applications in nonlinear signal processing. Binary Polynomial Transforms and Nonlinear Digital Filters introduces the Rademacher logical functions ... considers fast algorithms for computing Rademacher and polynomial logical functions ... focuses attention on general auto- and cross-correlation functions ... analyzes Boolean functions via binary polynomial transforms ... studies standard median and order statistic filters ... explores the statistical properties of stack filters ... and much more.
Series Statement
Monographs and textbooks in pure and applied mathematics ; 191
Uniform Title
Monographs and textbooks in pure and applied mathematics ; 191.
Subject
  • Digital filters (Mathematics)
  • Nonlinear theories
  • Transformations (Mathematics)
  • Signal processing > Digital techniques
  • Nichtlineares Digitalfilter
  • Binäre Transformation
  • Transformations (mathématiques)
Bibliography (note)
  • Includes bibliographical references (p. 289-296) and index.
Contents
I. Binary Polynomial Transforms. 1. Binary Polynomial Arithmetical and Logical Functions and Matrices. 2. Fast Algorithms and Complexity of Binary Polynomial Transforms. 3. Logical Correlations and Binary Polynomial Transforms -- II. Binary Polynomial Transforms and Digital Logic. 4. Spectral Methods in Analysis of Boolean Functions. 5. Spectral Methods in Minimization of Boolean Functions -- III. Applications in Nonlinear Digital Filtering. 6. Median and Order Statistic Filters. 7. Weighted Order Statistic and Stack Filters. 8. Statistical Properties of Stack Filters.
ISBN
  • 082479642X
  • 9780824796426
LCCN
95005438
OCLC
  • ocm32086644
  • 32086644
  • SCSB-9041278
Owning Institutions
Princeton University Library