CONTINUOUS WAVELET DECOMPOSITIONS, MULTIRESOLUTION, AND CONTRAST ANALYSIS

被引:37
作者
DUVALDESTIN, M
MUSCHIETTI, MA
TORRESANI, B
机构
[1] UNIV LA PLATA,DEPT MATEMAT,RA-1900 LA PLATA,ARGENTINA
[2] CTR PHYS THEOR,CNRS,F-13288 MARSEILLE 09,FRANCE
关键词
WAVELETS; MULTIRESOLUTION ANALYSIS; CONSTRAST ANALYSIS;
D O I
10.1137/0524045
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A continuous version of multiresolution analysis is described, starting from usual continuous wavelet decompositions. Scale discretization leads to decompositions into functions of arbitrary bandwidth, satisfying QMF-like conditions. Finally, a nonlinear multiresolution scheme is described, providing multiplicative reconstruction formulas.
引用
收藏
页码:739 / 755
页数:17
相关论文
共 28 条
[1]  
[Anonymous], 1989, WAVELETS TIME FREQUE
[2]  
Caldern A.-P., 1964, STUDIA MATH, V24, P113
[3]  
Coifman R.R., 1990, SIGNAL PROCESSING CO
[4]   EXTENSIONS OF HARDY SPACES AND THEIR USE IN ANALYSIS [J].
COIFMAN, RR ;
WEISS, G .
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1977, 83 (04) :569-645
[5]  
COMBES JM, 1989, P INT C MARSEILLE
[6]   THE WAVELET TRANSFORM, TIME-FREQUENCY LOCALIZATION AND SIGNAL ANALYSIS [J].
DAUBECHIES, I .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1990, 36 (05) :961-1005
[7]  
DAUBECHIES I, 1992, IN PRESS CBMS NSF RE
[8]   ASYMPTOTIC WAVELET AND GABOR ANALYSIS - EXTRACTION OF INSTANTANEOUS FREQUENCIES [J].
DELPRAT, N ;
ESCUDIE, B ;
GUILLEMAIN, P ;
KRONLANDMARTINET, R ;
TCHAMITCHIAN, P ;
TORRESANI, B .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1992, 38 (02) :644-664
[9]  
DUTILLEUX P, 1989, WAVELETS TIME FREQUE, P298, DOI DOI 10.1007/978-3-642-97177-8_29
[10]  
DUVALDESTIN M, 1991, THESIS U AIX MARSEIL