Title :
On the extension for the `orthogonalization´ of continuous wavelet transformation
Author :
Sakaguchi, Fuminori
Author_Institution :
Dept. of Electr. & Electron. Eng., Fukui Univ., Japan
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;
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
DOI :
10.1109/TFSA.1998.721380
