A new family of orthonormal wavelet bases

被引：11

作者：

Liu, LT ^{[1
]}

Hsu, HT ^{[1
]}

Gao, BX ^{[1
]}

机构：

[1] Chinese Acad Sci, Inst Geodesy & Geophys, Wuhan 430077, Peoples R China

来源：

JOURNAL OF GEODESY | 1998年 / 72卷 / 05期

关键词：

wavelets; B-splines; gravity tides;

D O I：

10.1007/s001900050168

中图分类号：

P3 [地球物理学]; P59 [地球化学];

学科分类号：

0708 ; 070902 ;

摘要：

In this contribution we introduce the concept of multiresolution analysis (MRA) and give an explanation of the relationship between MRA and orthonormal wavelet basis. The construction of the orthonormal B-spline wavelet bases is described in detail. We extend the B-splines to 'non-integral order' cases and thus obtain a new family of orthonormal wavelet bases for the space L-2(R). Some good properties of the new wavelets are demonstrated. The new wavelet family gives satisfactory-performances in our research projects including seismic signal compression and gravity tide data processing.

引用

页码：294 / 303

页数：10

共 15 条

[1]

[Anonymous], P 12 INT S EARTH TID

[2]

[Anonymous], 1988, THESIS U PENNSYLVANI

[3]

BENCIOLINI B, 1994, B INT ASS GEOD, V4, P17

[4]

Chui C. K, 1992, WAVELETS, P679

[5]

Chui C.K., 1992, An introduction to wavelets, V1, DOI DOI 10.1109/99.388960

[6]

COLLIN F, 1995, MANUSCR GEODAET, V20, P161

[7] TIME FREQUENCY LOCALIZATION OPERATORS - A GEOMETRIC PHASE-SPACE APPROACH [J].

DAUBECHIES, I .

IEEE TRANSACTIONS ON INFORMATION THEORY, 1988, 34 (04) :605-612

[8]

FREEDEN W, 1993, S MATH GEOPH FDN GEO

[9]

FROMENT J, 1992, WAVELET ANAL ITS APP, V2, P655

[10]

HSU HT, 1995, P 12 INT S EARTH TID

← 1 2 →