Wavelet filter banks with adaptive number of zero moments

An efficient realization of a two-channel wavelet filter bank with adaptive number of zero moments is proposed. The described time variant wavelet filter bank is more suitable for analysis of non-stationary signals then fixed banks. Filters with more zero moments result in a better representation of smooth parts of the analyzed signal, while less zero moments is better for transients and singularities. The proposed realization is based on the lifting scheme, derived from a method of fixed wavelet filter bank design, using Lagrange interpolation of samples in the time domain. Adaptation criterion is calculated from the wavelet coefficients, which is under some restrictions, reproducible on the reconstruction side. Wavelet filter banks with adaptive number of zero moments outperforms fixed banks in a number of applications.