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计算机系统应用英文版:2016,25(6):191-195
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基于改进阈值函数的小波阈值去噪算法
(江南大学 机械工程学院, 无锡 214122)
Wavelet Threshold Denoising Algorithm Based on Improved Wavelet Threshold Function
(School of Mechanical, Jiangnan University, Wuxi 214122, China)
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Received:October 23, 2015    Revised:November 25, 2015
中文摘要: 针对传统小波软、硬阈值函数以及现有部分文献所设计的阈值函数的不足,探索一种改进的小波阈值去噪算法.通过构造新的阈值函数,该函数具有更好的平滑性,并随着小波分解尺度变化而变化,因此有更好的适应性,且函数中不存在不确定参数,相应地提升了去噪稳定性.相比传统软、硬阈值函数方法,采用改进阈值函数去噪后信噪比(SNR)更大,均方差(MSE)更小,去噪效果更好.改进阈值函数的小波去噪算法更有优越性,具有较好的推广价值.
Abstract:Aiming at the insufficience of traditional wavelet soft and hard threshold functions and some of the threshold functions in existing literatures, and to propose an improved wavelet threshold denoising algorithm. A new threshold function is presented, which has better smoothness and changes with the changes of wavelet decomposition scale, so it has good adaptability. Besides, it improves denoising stability as a result of that there is no uncertain parameters in the function. Compared with traditional soft and hard threshold functions, that uses of the improved threshold function denoising, signals' SNR and MSE are better. Wavelet threshold denoising based on improved wavelet threshold shows an excellent effect, which has good promotional value.
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基金项目:国家自然科学基金海峡联合基金(U1405255);国家自然科学基金(61202450,61472083,61202452)
引用文本:
朱伟华,安伟,尤丽华,吴静静.基于改进阈值函数的小波阈值去噪算法.计算机系统应用,2016,25(6):191-195
ZHU Wei-Hua,AN Wei,YOU Li-Hua,WU Jing-Jing.Wavelet Threshold Denoising Algorithm Based on Improved Wavelet Threshold Function.COMPUTER SYSTEMS APPLICATIONS,2016,25(6):191-195