The exploration of the decomposition and perfect reconstruction formulas of orthonormal rational wavelets

摘要

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.