9783030470470: Foundations of Discrete Harmonic Analysis
Couverture souple
ISBN 10 : 3030470474 ISBN 13 : 9783030470470
Editeur : Birkhäuser, 2020

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Vasily N. Malozemov, Doctor of Science, is professor at the Mathematics and Mechanics Faculty of Saint Petersburg University. His main scientific interests lie in the field of discrete harmonic analysis, spline theory, Chebyshev approximations and nonsmooth optimization, and fast algorithms.

Sergey M. Masharsky, Ph. D., is associate professor at the Mathematics and Mechanics Faculty of Saint Petersburg University. His main scientific interests lie in the field of discrete harmonic analysis and fast algorithms.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Birkhäuser
Date d'édition
2020
Langue
anglais
ISBN 10 
3030470474
ISBN 13 
9783030470470
Reliure
Broché
Nombre de pages
264
Coordonnées du fabricant
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Heidelberg
69115
Allemagne

Autres éditions populaires du même titre

9783030470494: Foundations of Discrete Harmonic Analysis

Edition présentée

ISBN 10 :  3030470490 ISBN 13 :  9783030470494
Editeur : Birkhäuser, 2020
Couverture souple