《计算机应用研究》|Application Research of Computers

基于Teager能量算子的改进阈值函数的去噪算法研究

Improved threshold function denoising algorithm based on Teager energy operator

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作者 罗元,谭琴,张毅
机构 重庆邮电大学 a.光电工程学院;b.先进制造工程学院,重庆 400065
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文章编号 1001-3695(2019)05-041-1478-04
DOI 10.19734/j.issn.1001-3695.2017.12.0754
摘要 针对传统阈值去噪中出现的信号与噪声小波包系数的混叠现象、阈值函数在阈值处不连续、小波包系数估计值与原始值存在恒定偏差等问题,提出了一种基于Teager能量算子的改进阈值函数的去噪算法。该算法首先对小波包分解后的小波包系数进行Teager能量算子的计算,使语音与噪声系数间的差异变大,利于阈值的选择;然后对软、硬阈值函数导致的伪吉布斯效应、恒定偏差等问题进行改进,提出了一种改进的阈值函数。该函数不仅克服了常用函数的不连续性和恒定偏差问题,而且具有更加优越的数学特性。实验结果显示,改进的算法信噪比提高且均方误差有所降低,表明了该算法在最大程度去除噪声的同时也避免了信号的失真,具有较高的实用价值。
关键词 混叠现象; 不连续性; 恒定偏差; 能量算子; 信噪比; 均方误差
基金项目 重庆市科委前沿技术研究专项重点项目(cstc2015jcyjBX0066)
国家自然科学基金资助项目(51604056)
本文URL http://www.arocmag.com/article/01-2019-05-041.html
英文标题 Improved threshold function denoising algorithm based on Teager energy operator
作者英文名 Luo Yuan, Tan Qin, Zhang Yi
机构英文名 a.College of Optoelectronic Engineering,b.College of Advanced Manufacturing Engineering,Chongqing University of Posts & Telecommunications,Chongqing 400065,China
英文摘要 For the problems such as the aliasing phenomenon of signal and noise wavelet packet coefficients, threshold function discontinuity at threshold, and constant deviation between original coefficient and estimation coefficient in traditional threshold denoising, this paper proposed an improved wavelet packet threshold denoising algorithm. The algorithm first calculated the Teager energy operator for the wavelet packet coefficients, making the difference between voice and noise coefficients larger, which was favorable for threshold selection. Then, for the problems of pseudo Gibbs effect and constant deviation, this paper proposed an improved threshold function, which not only overcame the problem of discontinuity and constant deviation of commonly used functions, but also had superior mathematical characteristics. The experimental results show that the improved algorithm has higher signal-to-noise ratio and reduces the mean square error, which demonstrates the algorithm eliminates the noise to the greatest extent and avoids the signal distortion, and has higher practical value.
英文关键词 aliasing phenomenon; discontinuity; constant deviation; energy operator; signal-to-noise ratio; mean square error
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收稿日期 2017/12/11
修回日期 2018/2/1
页码 1478-1481
中图分类号 TP393;TP301.6
文献标志码 A