Regular M-band wavelets and applications
Peter Niels Heller, Howard L. Resnikoff · IEEE International Conference on Acoustics Speech and Signal Processing · 1993
M-band generalizations of the FIR (finite impulse response) wavelets of I. Daubechies (1988) have been introduced. The authors present a set of explicit construction techniques for these M-band wavelet filters, and the results of their application to image compression. A characterization of several equivalent notions of Nth-order regularity for M-band perfect reconstruction filters is presented. This characterization is used to devise a closed-form expression for Nth-order regular wavelet lowpass filters. The construction of a full M-band filter bank given a lowpass filter and a rank M unitary matrix is completed. Several of these new wavelets are applied to image coding.>