Paper Info
Title
IIR implementation of piecewise polynomial wavelet representation with application to image coding
Abstract
The wavelet decomposition permits a multiresolution representation of continuous and discrete signals. Orthonormal bases of wavelets were introduced in the field of functional analysis as a method for approximating continuous functions at different resolutions. The aim of the wavelet decomposition is that of approximating a continuous function with smoother versions belonging to closed subspaces V(j) of L2(R): as shown by Mallat, the coefficients of the expansion of these approximations in suitable bases of V(j) can be recursively calculated, by means of digital filtering operations (as in subband coding schemes), from the coefficients relative to higher resolution subspaces. In this work an infinite impulse response (IIR) implementation of the analysis/synthesis filter banks relative to the piecewise polynomial wavelet decomposition (the same used by Mallat) is presented: using IIR filters yields great computational saving with respect to FIR implementation. Some experimental results of the application of the IIR banks to digital image coding are also given at the end of the paper.
Year
DOI
Venue
1994
10.1016/0165-1684(94)90093-0
Signal Processing
Keywords
Field
DocType
WAVELETS,IIR FILTERING,IMAGE CODING
Mathematical optimization,Digital filter,Polynomial,Control theory,Infinite impulse response,Orthonormal basis,Sub-band coding,Wavelet packet decomposition,Piecewise,Mathematics,Wavelet
Journal
Volume
Issue
ISSN
39
3
0165-1684
Citations 
PageRank 
References 
0
0.34
10
Authors
4
Name
Order
Citations
PageRank
Fabrizio Argenti117426.24
Vito Cappellini252164.85
Giuliano Benelli34115.13
Anastasios N. Venetsanopoulos41104123.13