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ON THE INSTABILITY OF ARBITRARY BIORTHOGONAL WAVELET PACKETS

被引：58
作者：
COHEN, A
DAUBECHIES, I
机构：
[1] AT&T BELL LABS,MURRAY HILL,NJ 07974
[2] RUTGERS UNIV,DEPT MATH,NEW BRUNSWICK,NJ 08930
来源：
SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1993年 / 24卷 / 05期
关键词：
WAVELET PACKETS; BIORTHOGONAL WAVELETS;
D O I：
10.1137/0524077
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Starting from a multiresolution analysis and the corresponding orthonormal wavelet basis, Coifman and Meyer have constructed wavelet packets, a library from which many different orthonormal bases can be picked. This paper proves that when the same procedure is applied to biorthogonal wavelet bases, not all the resulting wavelet packets lead to Riesz bases for L2(R).
引用
收藏
页码：1340 / 1354
页数：15
相关论文
共 17 条
[1]   ON COMPACTLY SUPPORTED SPLINE WAVELETS AND A DUALITY PRINCIPLE [J].
CHUI, CK ;
WANG, JZ .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1992, 330 (02) :903-915
[2]   NONORTHOGONAL WAVELET PACKETS [J].
CHUI, CK ;
LI, C .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1993, 24 (03) :712-738
[3]  
CHUI CK, 1992, P AM MATH SOC, V113, P785
[4]  
CHUI CK, 1992, WAVELETS THEIR APPL, P419
[5]   A STABILITY-CRITERION FOR BIORTHOGONAL WAVELET BASES AND THEIR RELATED SUBBAND CODING SCHEME [J].
COHEN, A ;
DAUBECHIES, I .
DUKE MATHEMATICAL JOURNAL, 1992, 68 (02) :313-335
[6]   ORTHONORMAL BASES OF COMPACTLY SUPPORTED WAVELETS .3. BETTER FREQUENCY RESOLUTION [J].
COHEN, A ;
DAUBECHIES, I .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1993, 24 (02) :520-527
[7]   BIORTHOGONAL BASES OF COMPACTLY SUPPORTED WAVELETS [J].
COHEN, A ;
DAUBECHIES, I ;
FEAUVEAU, JC .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1992, 45 (05) :485-560
[8]   WAVELETS, MULTISCALE ANALYSIS AND QUADRATURE MIRROR FILTERS [J].
COHEN, A .
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 1990, 7 (05) :439-459
[9]  
COHEN A, 1993, UNPUB NECESSARY SUFF
[10]  
COHEN A, 1990, THESIS U PARIS DAUPH
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