Discrete Wavelet Transforms in Walsh Analysis

A review of discrete wavelet transforms defined through Walsh functions and used for image processing, compression of fractal signals, analysis of financial time series, and analysis of geophysical data is presented. Relationships of the discrete transforms considered with wavelet bases recently con...

Full description

Saved in:
Bibliographic Details
Published inJournal of mathematical sciences (New York, N.Y.) Vol. 257; no. 1; pp. 127 - 137
Main Author Farkov, Yu. A.
Format Journal Article
LanguageEnglish
Published New York Springer US 04.08.2021
Springer
Springer Nature B.V
Subjects
Discrete Wavelet Transform
Fractal analysis
Image compression
Image processing
Mathematics
Mathematics and Statistics
Signal processing
Wavelet analysis
Wavelet transforms
image processing
discrete transform
42C40
Walsh function
Weierstrass function
wavelet
zerodimensional group
signal coding
Haar system
analysis of geophysical data
65T60
frame
Online AccessGet full text

Cover

More Information
Summary:A review of discrete wavelet transforms defined through Walsh functions and used for image processing, compression of fractal signals, analysis of financial time series, and analysis of geophysical data is presented. Relationships of the discrete transforms considered with wavelet bases recently constructed and frames on the Cantor and Vilenkin groups are noted.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-021-05476-2