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عنوان فارسی مقاله:
تجزیه و تحلیل در وضوح فرکانس EMD بر اساس انترپولاسیون B-Spline
عنوان انگلیسی مقاله:
Analysis on frequency resolution of EMD based on B-spline interpolation
سال انتشار : 2016
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مقدمه انگلیسی مقاله:
1. Introduction
. Introduction In order to obtain a meaningful instantaneous frequency, empirical mode decomposition (EMD) introduced by Huang et al. [1] is designed as an adaptive method to decompose composite signals into narrow subbands. Each subband signal is called an intrinsic mode function (IMF) which represents the oscillation modes imbedded in the data. IMFs need satisfy two conditions [1]: (1) In the whole dataset, the number of extrema and the number of zero-crossings must either equal or differ at most by one, (2) at any point, the mean value of the upper envelope defined by the local maxima and the lower envelope defined by the local minima is zero. A function that only satisfies the condition (1) is called a weak-IMF [2]. IMF based on the local characteristic time scale of signals is the main conceptual innovation for the EMD method. It is clear from the definition that an IMF can be monocomponent signals or narrow-band signals. If different time scale oscillations are considered as different modes, a composite signal involves more than one oscillatory mode. Separating the different modes into different IMFs is the inherent demand of EMD. It is pointed out in [3] that the instantaneous frequency has meaning only for monocomponent signals, where there is only onefrequency or a narrow range of frequencies varying as a function of time. Whether the instantaneous frequency of an IMF extracted by EMD has meaning or not largely depends on the frequency resolution of the EMD method. As far as the frequency resolution is concerned, EMD cannot separate the components whose frequencies lie within the same octave [4]. Specifically, it has shown that EMD acts as a dyadic filter bank by the numerical experiments with white noise [5] and fractional Gaussian noise [6]. Based on numerical experiments and theoretical analysis on a composite two-tones signal from Fourier domain, Rilling et al. [7] pointed out that the resolution properties of the EMD method is determined by the relationship of amplitude and frequency between different components of signals. Fortunately, the frequency resolution capabilities of EMD can be improved by the masking signal technique [8,9].
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کلمات کلیدی:
Empirical mode decomposition frequency resolution improvement ... ieeexplore.ieee.org/document/4558569/ by A Roy - 2008 - Cited by 8 - Related articles The empirical nature of EMD has resulted in a lack of theoretical analysis so far. Issues regarding its ability to resolve different frequencies have been largely ... Improvement of Frequency Resolution of EMD Using an Optimized ... ieeexplore.ieee.org/document/5629632/ by W Hu - 2010 - Cited by 2 - Related articles Improvement of Frequency Resolution of EMD Using an Optimized Masking Signal ... paper we investigate the frequency resolution of empirical mode decomposition (EMD) .... Parametric signal analysis using the polynomial phase transform. [PDF]One or two Frequencies ? The empirical Mode Decomposition Answers. https://hal-ens-lyon.archives-ouvertes.fr/ensl-00113834/document by G Rilling - Cited by 403 - Related articles Nov 14, 2006 - This paper investigates how Empirical Mode Decomposition (EMD), a fully ... Resolution, spectral analysis, time-frequency, Empirical Mode ... [PDF]One or Two Frequencies? The Empirical Mode Decomposition Answers perso.ens-lyon.fr/patrick.flandrin/04359551.pdf by G Rilling - 2008 - Cited by 403 - Related articles the corresponding resolution properties of the EMD turn out to be in good agreement with intuition and physical interpretation. A re- fined analysis is provided for ... Hybrid Artificial Intelligence Systems: Third International ... https://books.google.com/books?isbn=3540876561 Emilio Corchado, Ajith Abraham - 2008 - Computers The EMD has already been applied to neuroscience data analysis [7]. ... gives a fixed resolution at all times, WT gives varying time and frequency resolutions. Recent Advances in Biomedical Signal Processing https://books.google.com/books?isbn=1608052184 Juan Manuel Górriz, Elmar W. Lang, Javier Ramírez - 2011 - Technology & Engineering Brain responses to audio stimuli are analyzed in [51] by applying EMD to multichannel ... showed that EMD may offer better temporal and frequency resolution. World Congress of Medical Physics and Biomedical Engineering 2006: ... https://books.google.com/books?isbn=3540368418 Sun I. Kim, Tae S. Suh - 2007 - Technology & Engineering Keywords—Tremor, time-frequency analysis, empirical mode decomposition I. ... Secondly, the compromise between time and frequency resolution of methods ...
