DocumentCode
1809356
Title
Mutual transformations between Haar wavelet and arithmetic spectra
Author
Falkowski, Bogdan J.
Author_Institution
Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore
Volume
4
fYear
2002
fDate
2002
Abstract
The mutual conversions between Haar wavelets and arithmetic functions and spectra in the form of matrix decomposition corresponding to fast transforms and as layered vertical and horizontal Kronecker matrices are introduced. The new relations apply to an arbitrary dimension of the transform matrices and allow direct conversions to be performed between arithmetic and Haar wavelet functions and their corresponding spectra.
Keywords
Haar transforms; matrix decomposition; spectral analysis; wavelet transforms; Haar wavelets; arbitrary dimension; arithmetic functions; arithmetic spectra; fast transforms; horizontal Kronecker matrices; matrix decomposition; mutual transformations; transform matrices; vertical Kronecker matrices; Arithmetic; Artificial intelligence; Boolean functions; Digital signal processing; Discrete transforms; Discrete wavelet transforms; Logic functions; Matrix decomposition; Spectral analysis; Wavelet transforms;
fLanguage
English
Publisher
ieee
Conference_Titel
Circuits and Systems, 2002. ISCAS 2002. IEEE International Symposium on
Print_ISBN
0-7803-7448-7
Type
conf
DOI
10.1109/ISCAS.2002.1010589
Filename
1010589
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