Extraction of instantaneous frequencies from ridges in time-frequency representations of signals

Extraction of instantaneous frequencies from ridges in time-frequency representations of signals
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DOI:
10.1016/j.sigpro.2016.01.024
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发表时间:
2016-08-01
期刊:
影响因子:
4.4
通讯作者:
Stefanovska, A.
Stefanovska, A.
中科院分区:
工程技术2区
文献类型:
--
作者:
Iatsenko, D.;McClintock, P. V. E.;Stefanovska, A.

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在信号处理应用中,经常需要从时频表示中提取振荡分量及其特性,例如加窗傅立叶变换或小波变换。该过程的第一步是找到适当的脊曲线:对应于感兴趣的分量并提供其瞬时频率的测量的幅度峰值位置(脊点)的序列。这不是一个微不足道的问题,提取的最佳方法仍然没有解决或商定。我们讨论和开发程序,可用于此任务,并比较其性能的模拟和真实的数据。特别是,我们提出了一种方法,与许多其他方法相比,是高度自适应的,因此它不需要任何参数调整的信号进行分析。该方法基于动态路径优化和不动点迭代,速度快,具有上级精度。此外,我们调查的优点和缺点,同步压缩提供的曲线提取。本工作中使用的代码可免费下载。(C)2016年6月,作者。由爱思唯尔公司出版
In signal processing applications, it is often necessary to extract oscillatory components and their properties from time-frequency representations, e.g. the windowed Fourier transform or wavelet transform. The first step in this procedure is to find an appropriate ridge curve: a sequence of amplitude peak positions (ridge points), corresponding to the component of interest and providing a measure of its instantaneous frequency. This is not a trivial issue, and the optimal method for extraction is still not settled or agreed. We discuss and develop procedures that can be used for this task and compare their performance on both simulated and real data. In particular, we propose a method which, in contrast to many other approaches, is highly adaptive so that it does not need any parameter adjustment for the signal to be analyzed. Being based on dynamic path optimization and fixed point iteration, the method is very fast, and its superior accuracy is also demonstrated. In addition, we investigate the advantages and drawbacks that synchrosqueezing offers in relation to curve extraction. The codes used in this work are freely available for download. (C) 2016 The Authors. Published by Elsevier B.V.