采用硬阈值法和软阈值法对刚性、sqtwolog、启发式和极小值法进行比较分析

Daniel F. Valencia, David Orejuela, Jeferson Salazar, Jose Valencia
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引用次数: 58

摘要

目前,小波变换在信号去噪领域得到了广泛的应用,在去噪方法中,小波变换在时间和质量上都具有很高的有效性。尽管有一些通过小波阈值方法去噪的成果,这些都没有揭示一个最佳配置。在本文中,我们提出了一个比较性能分析的几种阈值方法使用小波变换;生物信号被去噪以获得性能指标。在高斯噪声较低的情况下,比较了采用硬阈值法和软阈值法的刚性阈值法、正交阈值法、启发式阈值法和极小最大值阈值法的效率,并分析了小波分解层次的影响。小波分解采用Haar小波。实验结果表明,随着分解水平的提高,均方根误差(RMSE)和相关系数的去噪效果也有所改善,但从第5个分解水平开始,RMSE和相关系数逐渐变差,软阈值法将RMSE从1.77提高到1.03,相关系数从99.32%提高到99.71%,而其他技术在这两方面都有所提高。软硬阈值的改善RMSE不超过1.1,相关系数不超过99.67%。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Comparison analysis between rigrsure, sqtwolog, heursure and minimaxi techniques using hard and soft thresholding methods
Nowadays, wavelet transform (WT) is widely used in the realm of signal denoising, has proven a high effectiveness in terms of time and quality concerning denoising methods. Despite there are several achievements denoising through wavelet thresholding methods, these do not disclose an optimal configuration. In this paper, we proposed a comparative performance analysis of several thresholding methods using WT; biological signals are denoised to obtain performance metrics. The efficiency of particular thresholding methods: rigrsure, sqtwolog, heursure and minimaxi using hard and soft thresholding are compared in the presence of low Gaussian noise also the effect of wavelet decomposition levels is analyzed. For wavelet decomposition, Haar wavelet is used. Experimental results show that by increasing decomposition levels likewise there was a denoising improvement in terms of root mean square error (RMSE) and correlation coefficient, however, from the fifth decomposition level RMSE and correlation coefficient slowly tends to get worse, also the threshold method rigrsure on soft thresholding improved RMSE of 1.77 to 1.03 and correlation coefficient of 99.32% to 99.71% while others techniques on both, soft and hard thresholding did not improve more than 1.1 in RMSE and 99.67% in correlation coefficient.
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