Foundations of discrete harmonic analysis / Vasily N. Malozemov, Sergey M. Masharsky.

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Bibliographic Details
Main Author: Malozemov, Vasily N.
Other Authors: Masharsky, Sergey M.
Format: eBook
Language:English
Russian
Published: Cham : Birkhäuser, 2020.
Series:Applied and numerical harmonic analysis.
Subjects:
Online Access:Click for online access

MARC

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041 1 |a eng  |h rus 
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049 |a HCDD 
100 1 |a Malozemov, Vasily N. 
245 1 0 |a Foundations of discrete harmonic analysis /  |c Vasily N. Malozemov, Sergey M. Masharsky. 
260 |a Cham :  |b Birkhäuser,  |c 2020. 
300 |a 1 online resource 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Applied and numerical harmonic analysis,  |x 2512-6482 
504 |a Includes bibliographical references and index. 
505 0 |a 1 Preliminaries -- 2 Signal Transforms -- 3 Spline Subspaces -- 4 Fast Algorithms -- Solutions -- References -- Index. 
520 |a 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. 
650 0 |a Harmonic analysis. 
650 7 |a Imaging systems & technology.  |2 bicssc 
650 7 |a Functional analysis & transforms.  |2 bicssc 
650 7 |a Numerical analysis.  |2 bicssc 
650 7 |a Technology & Engineering  |x Electronics  |x General.  |2 bisacsh 
650 7 |a Mathematics  |x Mathematical Analysis.  |2 bisacsh 
650 7 |a Mathematics  |x Counting & Numeration.  |2 bisacsh 
650 7 |a Matemáticas  |x Análisis matemático  |2 embne 
650 7 |a Análisis armónico  |2 embne 
650 7 |a Harmonic analysis  |2 fast 
700 1 |a Masharsky, Sergey M. 
758 |i has work:  |a Foundations of discrete harmonic analysis (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCGfYXXkrgQXBJCpQKK98fm  |4 https://id.oclc.org/worldcat/ontology/hasWork 
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830 0 |a Applied and numerical harmonic analysis. 
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903 |a SPRING-MATH2020 
994 |a 92  |b HCD