Regular M-band wavelets and applications

Authors:
Peter N. Heller;Howard L. Resnikoff
Affiliations:
Aware, Inc., Cambridge, MA;Aware, Inc., Cambridge, MA
Venue:
ICASSP'93 Proceedings of the 1993 IEEE international conference on Acoustics, speech, and signal processing: digital speech processing - Volume III
Year:
1993

Citing 4
Cited 0

A Theory for Multiresolution Signal Decomposition: The Wavelet Representation

IEEE Transactions on Pattern Analysis and Machine Intelligence
Wavelet matrices and the representation of discrete functions

Wavelets: a tutorial in theory and applications
Wavelet transforms and filter banks

Wavelets: a tutorial in theory and applications
Multirate systems and filter banks

Multirate systems and filter banks

Quantified Score

Hi-index	0.00

Visualization

Abstract

M-band generalizations of the FIR wavelets of Daubechies have recently been introduced by several authors. We present here a set of explicit construction techniques for these M-band wavelet filters, and the results of their application to image compression. Beginning with a characterization of several equivalent notions of N-th order regularity for M-bend perfect reconstruction filters, we then uae this characterization to devise a closed-form expression for N-th order regular wavelet lowpass filters. We complete the construction of a full M-band filter bank given a lowpass filter and a rank M unitary matrix. Finally, we apply several of these new wavelets to image coding.