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The Resource Foundations of Discrete Harmonic Analysis, by Vasily N. Malozemov, Sergey M. Masharsky, (electronic resource)

Foundations of Discrete Harmonic Analysis, by Vasily N. Malozemov, Sergey M. Masharsky, (electronic resource)

Creator
Author
Contributor
Summary
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.--
Language
eng
Work
Publication
Edition
1st ed. 2020.
Extent
1 online resource (XV, 247 pages)
Contents
  • 1 Preliminaries
  • 2 Signal Transforms
  • 3 Spline Subspaces
  • 4 Fast Algorithms
  • Solutions
  • References
  • Index
Isbn
9783030470487
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-030-47048-7
Instance
Label
Foundations of Discrete Harmonic Analysis
Title
Foundations of Discrete Harmonic Analysis
Statement of responsibility
by Vasily N. Malozemov, Sergey M. Masharsky
Creator
Contributor
Author
Subject
Language
eng
Summary
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.--
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http://library.link/vocab/creatorName
Malozemov, Vasily N
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Masharsky, Sergey M
Series statement
  • Lecture Notes in Applied and Numerical Harmonic Analysis,
  • Springer eBooks.
http://library.link/vocab/subjectName
  • Computer mathematics
  • Signal processing
  • Image processing
  • Speech processing systems
  • Fourier analysis
Label
Foundations of Discrete Harmonic Analysis, by Vasily N. Malozemov, Sergey M. Masharsky, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-030-47048-7
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1 Preliminaries -- 2 Signal Transforms -- 3 Spline Subspaces -- 4 Fast Algorithms -- Solutions -- References -- Index
Control code
978-3-030-47048-7
Dimensions
unknown
Edition
1st ed. 2020.
Extent
1 online resource (XV, 247 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Isbn
9783030470487
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
21 illustrations, 1 illustration in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1162842538
Label
Foundations of Discrete Harmonic Analysis, by Vasily N. Malozemov, Sergey M. Masharsky, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-030-47048-7
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1 Preliminaries -- 2 Signal Transforms -- 3 Spline Subspaces -- 4 Fast Algorithms -- Solutions -- References -- Index
Control code
978-3-030-47048-7
Dimensions
unknown
Edition
1st ed. 2020.
Extent
1 online resource (XV, 247 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Isbn
9783030470487
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
21 illustrations, 1 illustration in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1162842538

Subject

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