Title :
Relationship between Haar wavelet and Reed-Muller spectra
Author :
Falkowski, Bogdan J.
Author_Institution :
Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore
Abstract :
The mutual relations between Haar Wavelet and Reed-Muller spectral domains are presented in the form of matrix decomposition and as layered vertical and horizontal Kronecker matrices. The new relations apply to an arbitrary dimension of the transform matrices and allow direct conversions to be performed between Reed-Muller and Haar Wavelet spectra.
Keywords :
Haar transforms; matrix decomposition; signal processing; spectral analysis; wavelet transforms; Haar wavelet; Reed-Muller spectra; arbitrary dimension; digital signal processing; direct conversions; layered horizontal Kronecker matrices; layered vertical Kronecker matrices; matrix decomposition; spectral analysis; transform matrices; Algebra; Application software; Boolean functions; Discrete transforms; Discrete wavelet transforms; Logic functions; Matrix decomposition; Performance evaluation; Wavelet domain; Wavelet transforms;
Conference_Titel :
Circuits and Systems, 2003. ISCAS '03. Proceedings of the 2003 International Symposium on
Print_ISBN :
0-7803-7761-3
DOI :
10.1109/ISCAS.2003.1206138
