[1]林福泳.正交样条的多分辨分析方法[J].华侨大学学报(自然科学版),2005,26(2):180-183.[doi:10.3969/j.issn.1000-5013.2005.02.018]
　Lin Fuyong.A Method of Multi-Resolution and Analysis Based on Orthogonal Spline Function[J].Journal of Huaqiao University(Natural Science),2005,26(2):180-183.[doi:10.3969/j.issn.1000-5013.2005.02.018]
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正交样条的多分辨分析方法()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第26卷
期数:
2005年第2期
页码:
180-183
栏目:
出版日期:
2005-04-20

文章信息/Info

Title:
A Method of Multi-Resolution and Analysis Based on Orthogonal Spline Function
文章编号:
1000-5013(2005)02-0180-04
作者:
林福泳
华侨大学机电及自动化学院 福建泉州362021
Author(s):
Lin Fuyong
College of Mechanical Engineering and Automation, Huaqiao University, 362021, Quanzhou, China
关键词:
样条函数;  信号处理;  正交函数
Keywords:
spline function;  signal processing;  orthogonal functions
分类号:
TN911
DOI:
10.3969/j.issn.1000-5013.2005.02.018
文献标志码:
A
摘要:
构造正交样条函数,其性质与正余弦函数有些类似.应用正交样条函数,构造一种有别于小波分析的多分辨率理论,并给出递推公式.相对于小波分析,其在无损压缩方面的压缩量更大,效果更好.在信号分解等到方面,具有好的应用前景.
Abstract:
To construct orthogonal spline function which is similar somewhat to sin (x) and cos(x) in property, a theory of multi-rosolution differing from wavelet analysis is constructed by applying orthogonal spline function; and recursion formula is given. Compared with wavelet analysis, the orthogonal spline function shows more greater compression on non-destructive compression and also better efect. It has good prospect of application in signal decamposition and other aspects.

参考文献/References:

[1] Mallat S. A theory of multiresolution signal decomposition: The wavelet transform [J]. IEEE Transactions on Pattern Analysis and Machine Intelligence, 1989(7):674-693.
[2] Lin Fuyong. Orthogonal continuous segmentation function [J]. Applied Mathematics and Computation, 2004(3):599-607.doi:10.1016/S0096-3003(03)00736-7.
[3] 林福泳. 正交样条函数及其应用 [J]. 机械科学与技术, 2003, (ZK):123-125.
[4] 林福泳. 正交有限元及其在工程中的应用 [D]. 天津:天津大学, 2003.60-78.
[5] 林福泳. 一种信号多辨分析的新方法 [J]. 西南交通大学学报, 2003(5):574-577.doi:10.3969/j.issn.0258-2724.2003.05.021.
[6] 林福泳. 板弯曲问题的群论方法 [J]. 计算力学学报, 2004(4):459-462.doi:10.3969/j.issn.1007-4708.2004.04.013.
[7] Lin Fuyong. Multi-solution theory of signal processing based on finite element method [J]. Applied Mathematics and Computation, 2005.293-310.
[8] Lin Fuyong. Orthogonal bases of 3-B-spline and its application in bending problem of plate and beam system [J]. Applied Mathematics and Computation, 2005, (2):723-733.doi:10.1016/j.amc.2004.01.007.

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备注/Memo

备注/Memo:
国务院侨务办公室科研基金资助项目(03QZR1)
更新日期/Last Update: 2014-03-23