Nonlinear diffusion filtering for peak-preserving smoothing of a spectrum signal
Nonlinear diffusion filtering for peak-preserving smoothing of a spectrum signal
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用于频谱信号保峰平滑的非线性扩散滤波
DOI：
10.1016/j.chemolab.2016.06.007
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发表时间：
2016-08-15
影响因子：
3.9
通讯作者：
Li, Tiao
中科院分区：
文献类型：
--
作者：
Li, Yuanlu;Ding, Yaqing;Li, Tiao
如何在保留峰的同时降低噪声是分析技术中一个具有挑战性的课题。本文提出了一种非线性扩散的保峰平滑方法。非线性扩散的实现简单。以含噪信号作为非线性扩散方程的初始条件，其解是一个平滑信号，且随着迭代次数的增加，信号变得越来越平滑。详细介绍了非线性扩散滤波的原理和实现方法。通过模拟信号和核磁共振谱的实验验证了该方法的有效性，并与正则化方法、Savitzky-Golay方法和小波方法进行了比较。结果表明，非线性扩散是一种很好的平滑方法，它可以在保持峰形的同时降低噪声。(C)© 2016 Elsevier B. V.版权所有。
How to reduce the noise while preserving the peak is a challenging task in analytical techniques. In this paper, the nonlinear diffusion was proposed as a general method to accomplish peak-preserving smoothing. The implement of the nonlinear diffusion is simple. Taking the noisy signal as the initial condition of a nonlinear diffusion equation, the solution is a smoothed signal, and signal becomes increasingly smooth as iteration number increases. Details of the nonlinear diffusion filtering and its implementation were given clearly. Some simulated signals and an NMR spectrum has been used to verify the proposed method and compare the performance of other methods such as regularization method, Savitzky-Golay method and wavelet method. Results indicated that the nonlinear diffusion is an excellent smoothing method, it can reduce the noise while preserve the peak shape. (C) 2016 Elsevier B.V. All rights reserved.