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小波阈值法在信号滤波中的应用研究
引用本文:盛成明,唐锁夫,刘超.小波阈值法在信号滤波中的应用研究[J].声学技术,2014,33(5):481-484.
作者姓名:盛成明  唐锁夫  刘超
作者单位:1. 海军702厂,上海,200434
2. 海鹰集团,江苏无锡,214000
摘    要:针对硬阈值函数在阈值处不连续,重构信号易产生振荡,以及软阈值函数的量化值与原始小波系数有恒定的偏差不能逼近的问题,提出了一种既能在阈值处连续,又能实现逼近原始小波系数的改进型阈值函数。仿真结果显示将改进型的阈值函数用于信号滤波,在均方误差和信噪比方面都优于传统的两种阈值函数。

关 键 词:阈值函数  小波  滤波
收稿时间:2013/5/8 0:00:00
修稿时间:2013/7/11 0:00:00

The application study of wavelet threshold method for signal filtering
SHENG Cheng-ming,TANG Suo-fu and LIU Chao.The application study of wavelet threshold method for signal filtering[J].Technical Acoustics,2014,33(5):481-484.
Authors:SHENG Cheng-ming  TANG Suo-fu and LIU Chao
Affiliation:The No.702 Factory of Navy, Shanghai 200434, China;The No.702 Factory of Navy, Shanghai 200434, China;HaiYing Group, Wuxi 214000, Jiangsu, China
Abstract:According to the fact that oscillation occurs in the reconstruction signal because of discontinuous threshold function at threshold point and the fact that an approximate problem arises owing to the permanent bias between quan-tized value of soft threshold function and original wavelet coefficient, a modified threshold function is proposed. The modified function is continuous at threshold point and can approximate the original wavelet coefficient. The results of simulation demonstrate that the modified threshold function is superior to traditional methods in both MSE and SNR.
Keywords:threshold function  wavelet  filter
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