Foundations of discrete harmonic analysis

著者

    • Malozemov, Vasily N.
    • Masharsky, Sergey M.

書誌事項

Foundations of discrete harmonic analysis

Vasily N. Malozemov, Sergey M. Masharsky

(Lecture notes in applied and numerical harmonic analysis / series editor, John J. Benedetto)

Birkhäuser , Springer, c2020

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注記

Includes bibliographical references (p. 241-243) and index

内容説明・目次

内容説明

This book provides an introduction to discrete harmonic analysis (DHA) with a view towards applications to digital signal processing. In a nutshell, DHA is used to determine the time-frequency structure of a digitized signal, providing a representation of the signal as a sum of spectral components that can then be analyzed. The main methods of DHA are discrete Fourier transform and other discrete orthogonal transforms such as the Walsh and Haar transforms. Fast algorithms are used to process signals in real time, while additional options are provided by spline harmonic analysis. These topics are carefully covered in the book. With only modest prerequisites, some of which are recalled at the beginning, a profound mathematical theory is built almost from scratch. The 150 exercises included form an integral part of the text. Based decades of teaching experience, this book provides a basis for lecture courses starting at the upper undergraduate level, and will also prove a valuable resource for mathematicians and engineers interested in digital signal processing.

目次

1 Preliminaries.- 2 Signal Transforms.- 3 Spline Subspaces.- 4 Fast Algorithms.- Solutions.- References.- Index.

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詳細情報

  • NII書誌ID(NCID)
    BC01617911
  • ISBN
    • 9783030470470
  • 出版国コード
    sz
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    [S.l.],Cham
  • ページ数/冊数
    xv, 247 p.
  • 大きさ
    24 cm
  • 親書誌ID
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