ON TRIGONOMETRIC WAVELETS

被引:56
作者
CHUI, CK
MHASKAR, HN
机构
[1] TEXAS A&M UNIV SYST,DEPT MATH,COLL STN,TX 77843
[2] CALIF STATE UNIV LOS ANGELES,DEPT MATH & COMP SCI,LOS ANGELES,CA 90032
关键词
WAVELETS; MODIFIED DIRICHLET KERNEL; LOCALIZATION; DECOMPOSITION; RECONSTRUCTION;
D O I
10.1007/BF01198002
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Wavelets in terms of sine and cosine functions are constructed for decomposing 2pi-periodic square-integrable functions into different octaves and for yielding local information within each octave. Results on a simple mapping into the approximate sample space, order of approximation of this mapping, and pyramid algorithms for decomposition and reconstruction are also discussed.
引用
收藏
页码:167 / 190
页数:24
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