CONTINUOUS WAVELET DECOMPOSITIONS, MULTIRESOLUTION, AND CONTRAST ANALYSIS

被引:35
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
    COIFMAN, RR
    WEISS, G
    [J]. 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
    DAUBECHIES, I
    [J]. 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
    DELPRAT, N
    ESCUDIE, B
    GUILLEMAIN, P
    KRONLANDMARTINET, R
    TCHAMITCHIAN, P
    TORRESANI, B
    [J]. 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