Integer to integer mapping wavelet filter bank with adaptive number of zero moments

An efficient realization of two-channel wavelet filter bank that maps integers to integers with adaptive number of zero moments is presented. Filters with more zero moments result in better representation of smooth parts of the analyzed signal, while less zero moments is better for transients and singularities. Proposed realization is based on the lifting scheme that enables mapping integer signals to integer wavelet coefficients, preserving perfect reconstruction property. The realization is derived from a method of tired wavelet filter bank design, using Lagrange interpolation of samples in lime domain. Adaptation criterion is computed from integer wavelet coefficients, which is under some restrictions reproducible on the reconstruction side. Quantization introduces non-predictable components of the wavelet coefficients, thus influencing behavior of the adaptation algorithm. Adaptation on interval is used to reduce variance of the filter parameters.