Binary polynomial transforms and nonlinear digital filters

書誌事項

Binary polynomial transforms and nonlinear digital filters

S. Agaian, J. Astola, K. Egiazarian

(Monographs and textbooks in pure and applied mathematics, 191)

Dekker, c1995

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注記

Includes bibliographical references and index

内容説明・目次

内容説明

This work offers a unified presentation of the theory of binary polynomial transforms and details their numerous applications in nonlinear signal processing. The book also: introduces the Rademacher logical functions; considers fast algorithms for computing Rademacher and polynomial logical functions; focuses attention on general auto- and cross-correlation functions; and more.;The work is intended for applied mathematicians; electrical, electronics and other engineers; computer scientists; and upper-level undergraduate and graduate students in these disciplines.

目次

  • Part 1 Binary polynomial transforms: binary polynomial arithmetical and logical functions and matrices
  • fast algorithms and complexity of binary polynomial transforms
  • logical correlations and binary polynomial transforms. Part 2 Binary polynomial transforms and digital logic: spectral methods in analysis of Boolean functions
  • spectral methods in minimization of Boolean functions. Part 3 Applications in nonlinear digital filtering: median and order statistic filters
  • weighted order statistic and stack filters
  • statistical properties of stack filters.

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