Title :
Regular M-band wavelets and applications
Author :
Heller, Peter N. ; Resnikoff, Howard L.
Author_Institution :
Aware Inc., Cambridge, MA, USA
Abstract :
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.<>
Keywords :
data compression; digital filters; image coding; low-pass filters; wavelet transforms; M-band wavelet filters; Nth-order regularity; explicit construction techniques; image compression; lowpass filter; perfect reconstruction filters; unitary matrix;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1993. ICASSP-93., 1993 IEEE International Conference on
Conference_Location :
Minneapolis, MN, USA
Print_ISBN :
0-7803-7402-9
DOI :
10.1109/ICASSP.1993.319477
