Improved EMD for the analysis of FM signals

Xu Guanlei; Wang Xiaotong; Xu Xiaogang; Zhou Lijia

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Improved EMD for the analysis of FM signals

机译：改进的EMD用于分析FM信号

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In this paper, an innovative algorithm of improved EMD (IEMD) has been presented for the analysis of frequency modulation (FM) signals. First, extract the first level extrema and the second level extrema to construct one two-level extrema structure (TLES). Using the locations' relations between the first level extrema and the second level extrema, what the traditional EMD does for FM signals is determined. The propositions that can help us to judge whether the multi-component can be separated well or not by EMD in practice and then tell us what the EMD will do in practice are deduced. Four cases are presented for decomposition of FM components using EMD. According to these cases, different improved methods are presented to separate the FM components that EMD fails to separate. The least-squares method is used to estimate the phase polynomials of FM components. The orthogonal relations between different components are used to estimate the optimal amplitudes of FM components. Moreover, the performance of EMD is analyzed via the multi-level extrema distribution as well, which can be used in practice for the aforehand judgement. Finally, experiments are given to show our new improved EMD.

机译：在本文中，提出了一种改进的EMD（IEMD）的创新算法，用于分析调频（FM）信号。首先，提取第一级极值和第二级极值，以构建一个两级极值结构（TLES）。利用第一级极值和第二级极值之间的位置关系，可以确定传统EMD对FM信号的作用。推论了可以帮助我们判断EMD在实践中能否很好地分离出多个成分，然后告诉我们EMD在实践中将做什么的命题。提出了使用EMD分解FM组件的四种情况。根据这些情况，提出了不同的改进方法来分离EMD无法分离的FM组件。最小二乘法用于估计FM分量的相位多项式。使用不同分量之间的正交关系来估计FM分量的最佳幅度。此外，EMD的性能也通过多级极值分布进行分析，可在实践中用于事先判断。最后，通过实验证明了我们新的改进的EMD。

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来源
《Mechanical systems and signal processing》 |2012年第11期|p.181-196|共16页
作者
Xu Guanlei; Wang Xiaotong; Xu Xiaogang; Zhou Lijia;
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作者单位

Department of Ocean, Dalian Naval Academy, Dalian 116018, China;

Department of Navigation & Automatization, Dalian Naval Academy, Dalian 116018, China;

Department of Navigation & Automatization, Dalian Naval Academy, Dalian 116018, China;

Department of Ocean, Dalian Naval Academy, Dalian 116018, China;

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正文语种 eng
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empirical mode decomposition (EMD); two-level extrema structure (TLES); t-f distribution; frequency modulation (FM); least-squares method; mono-component and multi-component;

机译：经验模式分解（EMD）;两级极值结构（TLES）;t-f分布;调频（FM）;最小二乘法单组分和多组分;

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5. Constrained FM, a narrow band FM signaling technique. [D] . Aghazadeh Alavi, Reza. 1993

机译：约束FM，一种窄带FM信令技术。
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8. Die Magnetbandregistrierung von AM/FM- und FM/FM-Signalen durch Aufzeichnung der Empfänger-ZF (Predetection-Recording) [R] . H. Bothe 1968

机译：通过记录接收器IF（预检测记录）对am / Fm和Fm / Fm信号进行磁带登记

Improved EMD for the analysis of FM signals

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