A lifting undecimated wavelet transform and its applications

被引:7
作者
Duan Chendong [1 ]
Gao Qiang [2 ]
机构
[1] Changan Univ, Sch Elect & Control Engn, Xian 710061, Peoples R China
[2] Changan Univ, Sch Automobile, Xian 710061, Peoples R China
关键词
lifting scheme; initial filter; characterized wavelet; feature extraction;
D O I
10.1007/s10845-008-0094-4
中图分类号
TP18 [人工智能理论];
学科分类号
081104 [模式识别与智能系统]; 0812 [计算机科学与技术]; 0835 [软件工程]; 1405 [智能科学与技术];
摘要
In order to get a characterized wavelet with expected properties, a new wavelet is constructed by using the lifting scheme (LS). Taking the low-pass filter of cubic B-splines wavelet transform as an initial filter, and designing a lifting operator based on interpolating subdivision method, new wavelet is obtained through one lifting step. The wavelet inherits the property of low-pass filtering that the initial filter possessed, and also has ability to extract transient impulse from analyzed signal. By making an equivalent interchange manipulation to the LS framework, and removing decimators, a LS algorithm for undecimated wavelet transform (UWT) is proposed. Two engineering applications are reported in the paper, and the results show that the UWT can provide much more diagnostics information than the classical wavelet transform.
引用
收藏
页码:433 / 441
页数:9
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