ORTHONORMAL BASES OF COMPACTLY SUPPORTED WAVELETS .2. VARIATIONS ON A THEME

被引:222
作者
DAUBECHIES, I [1 ]
机构
[1] AT&T BELL LABS,MURRAY HILL,NJ 07974
关键词
WAVELETS; ORTHONORMAL BASES; REGULARITY; SYMMETRY;
D O I
10.1137/0524031
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Several variations are given on the construction of orthonormal bases of wavelets with compact support. They have, respectively, more symmetry, more regularity, or more vanishing moments for the scaling function than the examples constructed in Daubechies [Comm. Pure Appl. Math., 41 (1988), pp. 909-996].
引用
收藏
页码:499 / 519
页数:21
相关论文
共 29 条
[1]  
AUSCHER P, 1989, THESIS U PARIS 9
[2]   ONDELETTES AND PHASE CELL CLUSTER EXPANSIONS, A VINDICATION [J].
BATTLE, G ;
FEDERBUSH, P .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1987, 109 (03) :417-419
[3]   A BLOCK SPIN CONSTRUCTION OF ONDELETTES .1. LEMARIE FUNCTIONS [J].
BATTLE, G .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1987, 110 (04) :601-615
[4]   PHASE-SPACE LOCALIZATION THEOREM FOR ONDELETTES [J].
BATTLE, G .
JOURNAL OF MATHEMATICAL PHYSICS, 1989, 30 (10) :2195-2196
[5]   FAST WAVELET TRANSFORMS AND NUMERICAL ALGORITHMS .1. [J].
BEYLKIN, G ;
COIFMAN, R ;
ROKHLIN, V .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1991, 44 (02) :141-183
[6]   BIORTHOGONAL BASES OF COMPACTLY SUPPORTED WAVELETS [J].
COHEN, A ;
DAUBECHIES, I ;
FEAUVEAU, JC .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1992, 45 (05) :485-560
[7]   WAVELETS, MULTISCALE ANALYSIS AND QUADRATURE MIRROR FILTERS [J].
COHEN, A .
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 1990, 7 (05) :439-459
[8]  
COHEN A, IN PRESS REV MAT IBE
[9]  
COMBES JM, 1989, DEC P 87 C MARS
[10]   2-SCALE DIFFERENCE-EQUATIONS .1. EXISTENCE AND GLOBAL REGULARITY OF SOLUTIONS [J].
DAUBECHIES, I ;
LAGARIAS, JC .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1991, 22 (05) :1388-1410