Orthogonal and biorthogonal multiwavelets for signal denoising and image compression

This paper presents new vector filter banks, in particular biorthogonal Hermite cubic multiwavelets with short, smooth duals. We study different preprocessing techniques and the covariance structure of corresponding transforms. Results of numerical experiments in signal denoising and image compression using multi-filters are discussed. We compare the performance of several multi-filters with the performance of standard scalar wavelets such as Daubechies orthogonal extremal phase and least asymmetric ones and biorthogonal 9-7 pair. Often multiwavelet schemes turn out to be better. We analyze these results.