The exploration of the decomposition and perfect reconstruction formulas of orthonormal rational wavelets
Chenglin Wen, Li-Ping Yan, Funa Zhou, Quanbo Ge · 2004
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.