DocumentCode
1706709
Title
On the extension for the `orthogonalization´ of continuous wavelet transformation
Author
Sakaguchi, Fuminori
Author_Institution
Dept. of Electr. & Electron. Eng., Fukui Univ., Japan
fYear
1998
Firstpage
137
Lastpage
140
Abstract
The wavelet systems with continuous parameters used in continuous wavelet transform are not orthogonal. However, by extending the function space by tensor product into the function space of the functions with two variables, we can orthogonalize this function system in a sense. In this paper, a systematic method for this kind of orthogonalization is proposed, by using the eigenfunction problem of a kind of linear operator
Keywords
eigenvalues and eigenfunctions; mathematical operators; wavelet transforms; continuous parameters; continuous wavelet transformation; eigenfunction problem; function space; function system; linear operator; orthogonalization; systematic method; tensor product; Continuous wavelet transforms; Eigenvalues and eigenfunctions; Quantum mechanics; Tensile stress; Wavelet transforms;
fLanguage
English
Publisher
ieee
Conference_Titel
Time-Frequency and Time-Scale Analysis, 1998. Proceedings of the IEEE-SP International Symposium on
Conference_Location
Pittsburgh, PA
Print_ISBN
0-7803-5073-1
Type
conf
DOI
10.1109/TFSA.1998.721380
Filename
721380
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