Title :
The exploration of the decomposition and perfect reconstruction formulas of orthonormal rational wavelets
Author :
Wen, Chenglin ; Yan, Li-ping ; Fu-Na Zhou ; Ge, Quan-bo
Abstract :
In this article, we first illustrated the definition of multiscale analysis and dual equation of orthonormal rational wavelet, then using a 3/2 sampling rate wavelet as an example, we proposed a method to construct high-pass filter banks from low-pass filter banks. In the end, we deduced the decomposition and the perfect reconstruction formulas.
Keywords :
filtering theory; high-pass filters; low-pass filters; signal reconstruction; signal sampling; wavelet transforms; decomposition formulas; dual equation; high-pass filter banks; low-pass filter banks; multiscale analysis; orthonormal rational wavelets; reconstruction formulas; Automation; Educational institutions; Equations; Filter bank; Intelligent systems; Laboratories; Low pass filters; Mathematics; Pattern recognition; Wavelet analysis;
Conference_Titel :
Machine Learning and Cybernetics, 2003 International Conference on
Print_ISBN :
0-7803-8131-9
DOI :
10.1109/ICMLC.2003.1259865
