The discrete multiple wavelet transform and thresholding methods

被引:127
作者
Downie, TR [1 ]
Silverman, BW
机构
[1] CSIRO, CMIS, N Ryde, NSW 2113, Australia
[2] Univ Bristol, Sch Math, Bristol, Avon, England
基金
英国工程与自然科学研究理事会; 美国国家科学基金会;
关键词
multiwavelet; prefilter; smoothing methods; wavelet transforms; white noise;
D O I
10.1109/78.709546
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
We propose thresholding for multiwavelets considering the coefficient vectors as a whole rather than thresholding individual elements. A multivariate universal threshold is obtained using the chi(2) distribution. Simulations indicate that using the GHM multiwavelet with appropriate preprocessing, our method outperforms univariate thresholding of both GHM and Daubechies wavelet decompositions.
引用
收藏
页码:2558 / 2561
页数:4
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