计算机工程与应用 ›› 2013, Vol. 49 ›› Issue (15): 215-218.

• 信号处理 • 上一篇    下一篇

新阈值函数下的小波阈值去噪

王  瑞,张友纯   

  1. 中国地质大学(武汉) 机械与电子信息学院,武汉 430074
  • 出版日期:2013-08-01 发布日期:2013-07-31

New threshold function in wavelet threshold de-noising

WANG Rui, ZHANG Youchun   

  1. School of Mechanical and Electronic Information, China University of Geosciences(Wuhan), Wuhan 430074, China
  • Online:2013-08-01 Published:2013-07-31

摘要: 针对传统小波阈值去噪法中硬阈值函数不连续,软阈值函数有固定偏差的缺点,提出一种新的阈值函数。对Donoho的固定阈值进行改进,提出一种自适应的阈值。在Matlab环境中,分别进行了实验选取最优小波基,新阈值函数的最优参数以及新阈值函数与传统硬阈值函数,软阈值函数和折衷阈值函数的对比。实验结果表明,新的阈值函数能更有效地提高语音信号的信噪比,改进语音质量。

关键词: 小波变换, 阈值去噪, 阈值函数, 自适应阈值, 最优小波基

Abstract: To overcome the disadvantage in traditional wavelet threshold de-noising approach, the hard threshold function is discontinuous while the soft threshold function has fixed deviation; a new threshold function is proposed. An adaptive threshold is proposed to enhance the fixed threshold put forward by Donoho. Under the Matlab environment, three experiments are separately carried to select the optimum wavelet base, the optimum parameters of the new threshold function and to compare the new threshold function with traditional threshold functions such as the hard threshold function, the soft threshold function and the compromise threshold function. Experimental result shows that the new threshold function is more effective to enhance the Signal-to-Noise Ratio and to improve the quality of the de-noised speech signal.

Key words: wavelet transform, threshold de-noising, threshold function, adaptive threshold, optimum wavelet base