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Multiple Harmonics Fitting Algorithms Applied to Periodic Signals Based on Hilbert-Huang Transform

Hui Wang, Zhengshi Liu, Bin Zhu, Quanjun Song
2013 Journal of Sensors  
This paper describes a new sine fitting algorithm that is able to fit a multiharmonic acquired periodic signal.  ...  By means of a "sinusoidal wave" whose amplitude and phase are both transient, the "triangular wave" can be reconstructed on the basis of Hilbert-Huang transform (HHT).  ...  The authors are very grateful to the unknown referees for their valuable remarks.  ... 
doi:10.1155/2013/580152 fatcat:a3yljklxljcwte4v5mwmpnnw3a

A Hybrid Hilbert-Huang Method for Monitoring Distorted Time-Varying Waveforms

Radu Plamanescu, Ana-Maria Dumitrescu, Mihaela Albu, Siddharth Suryanarayanan
2021 Energies  
This paper focuses on the HilbertHuang method with modifications such as empirical mode decomposition improved with masking signals based on the Fast Fourier Transform, Hilbert spectral analysis, and  ...  to economic value chain.  ...  The final identification is not based on the Hilbert-Huang Transform but on the DFT applied over the identified steady-state time intervals.  ... 
doi:10.3390/en14071864 fatcat:4u4m2vvemnbdziceaoathoi2pm

Extraction of instantaneous frequencies and amplitudes in nonstationary time-series data

Daniel E. Shea, Rajiv Giridharagopal, David S. Ginger, Steven L. Brunton, J. Nathan Kutz
2021 IEEE Access  
The method is demonstrated on a diversity of time-series data, including on data from cantilever-based electrostatic force microscopy to quantify the time-dependent evolution of charging dynamics at the  ...  By leveraging the strengths of modern gradient descent algorithms, the Fourier transform, multi-resolution analysis, and Bayesian spectral analysis, we propose a data-driven approach to time-frequency  ...  Hilbert spectral analysis leverages the Hilbert transform to compute the analytic signal of each periodic mode identified by EMD.  ... 
doi:10.1109/access.2021.3087595 fatcat:mmx2vl56sjaj3do6jkfnoftxma

Extraction of instantaneous frequencies and amplitudes in nonstationary time-series data [article]

Daniel E. Shea, Rajiv Giridharagopal, David S. Ginger, Steven L. Brunton, J. Nathan Kutz
2021 arXiv   pre-print
The method is demonstrated on a diversity of time-series data, including on data from cantilever-based electrostatic force microscopy to quantify the time-dependent evolution of charging dynamics at the  ...  By leveraging the strengths of modern gradient descent algorithms, the Fourier transform, multi-resolution analysis, and Bayesian spectral analysis, we propose a data-driven approach to time-frequency  ...  DS, SLB, and JNK would especially like to acknowledge Henning Lange for helpful discussion on the FMD decomposition algorithm.  ... 
arXiv:2104.01293v1 fatcat:yehomdsynrdgznuexyibdgyjea

Classification of Power Quality Disturbances in Electric Power System: A Review

Devendra Mittal
2012 IOSR Journal of Electrical and Electronics Engineering  
These devices introduce power quality problem on one hand and these mal-operate due to induced power quality problems on other hand.  ...  The Electrical power quality issue has attained considerable attention in last decade due to large penetration of power electronics based loads and microprocessor based controlled loads.  ...  [45] presented an innovative algorithm of improved Hilbert Huang method based on masking signals for power quality applications.  ... 
doi:10.9790/1676-0350614 fatcat:xa4nxyuccvhlpezb6vaga7h2fm

CHARACTERIZING INTERMITTENCY OF 4-Hz QUASI-PERIODIC OSCILLATION IN XTE J1550–564 USING HILBERT–HUANG TRANSFORM

Yi-Hao Su, Yi Chou, Chin-Ping Hu, Ting-Chang Yang
2015 Astrophysical Journal  
We present the time-frequency analysis results based on the Hilbert-Huang transform (HHT) for the evolution of a 4-Hz low-frequency quasi-periodic oscillation (LFQPO) around the black hole X-ray binary  ...  This correlation could be analogous to the linear rms-flux relation found in the 4-Hz LFQPO through Fourier analysis.  ...  step of the HHT algorithm: using the normalized Hilbert transform ) to acquire the instantaneous frequency and amplitude of the IMF c 4 (t).  ... 
doi:10.1088/0004-637x/815/1/74 fatcat:jtqvyn7uv5ep3frrugoqcwq4la

Empirical Mode Decomposition for Advanced Speech Signal Processing

Md. Khademul Islam Molla, Somlal Das, Md. Ekramul Hamid, Keikichi Hirose
2013 Journal of Signal Processing  
Recently, EMD is taken much attention for speech signal processing in data adaptive way. Several EMD based potential soft-thresholding algorithms for speech enhancement are discussed here.  ...  The speech processing is frequently performed in the transformed domain and the transformation is usually achieved by traditional signal analysis techniques i.e. Fourier and wavelet transformations.  ...  The marginal Hilbert spectrum (MHS) derived from Hilbert-Huang transformation (HHT) representing precise spectra of the signal is employed to derive the energy based feature.  ... 
doi:10.2299/jsp.17.215 fatcat:2nwvs4rr5rcylmbagx2t3kzxoq

Adaptive Signal Processing Algorithms Based on EMD and ITD

Alexander Voznesensky, Dmitrii Kaplun
2019 IEEE Access  
INDEX TERMS Adaptive filter bank, denoising algorithms, empirical mode decomposition, Fourier transform, Hilbert-Huang transform, internal oscillations, intrinsic time-scale decomposition, spectral analysis  ...  Based on extensive computer simulations, we show explicitly that the replacement of EMD by ITD in several otherwise similar signal analysis scenarios leads to the increased noise robustness with simultaneous  ...  In the Hilbert-Huang transform, at the first stage, the signal is decomposed using EMD, then the Hilbert transform [5] , [6] is performed.  ... 
doi:10.1109/access.2019.2956077 fatcat:gocl4qaw7rfl5emyrzxux57j7a

Numerical algorithms of marine diesel engine instantaneous speed based on Hilbert-Huang Transform

Kun Yang, Lei Zhou, Gen Gong, Jiankun Zhang
2018 IOP Conference Series: Materials Science and Engineering  
The Hilbert-Huang transform is introduced to decompose the instantaneous speed signal by EMD empirical mode and to analyze the spectrum.  ...  The IMF component which affects the fluctuation of the speed is superimposed to obtain the HHT (Hilbert-Huang Transform)-based filtering curve.  ...  Methods and principles based on Hilbert-Huang transformation In 1998, Norden E.  ... 
doi:10.1088/1757-899x/382/5/052017 fatcat:axtqrsy5zrha3kal77npnc2kuy

Diagnosis of root cause for oscillations in closed-loop chemical process systems

Babji Srinivasan, Ulaganathan Nallasivam, Raghunathan Rengaswamy
2011 IFAC Proceedings Volumes  
This approach has the following two components: (i) parametric Hammerstein model based stiction detection and, (ii) non-parametric Hilbert-Huang spectrum analysis for distingusihing between improperly  ...  Several offline data-driven methods have been developed to address the diagnosis problem by focusing on only one of the causes for oscillations.  ...  PRELIMINARIES -HILBERT HUANG TRANSFORM OF PROCESS SIGNALS Recently, Huang et al. [1996] developed the Hilbert-Huang transformation (HHT) to analyze the time-frequency charactersitics of time-dependent  ... 
doi:10.3182/20110828-6-it-1002.01227 fatcat:7lqicirdffdflafrlchucvbt3q

On Wake Analysis of Flow Past Rotating Downstream Cylinder using Hilbert-Huang Transformation

M. Neeraj Paul, S. Tiwari
2019 Journal of Applied Fluid Mechanics  
This has been achieved by performing Hilbert-Huang transformation (HHT) on time series signals of drag and lift coefficients for the rotating cylinder.  ...  Results are presented in the form of vorticity contours, Hilbert spectra and marginal spectra. Degree of stationarity of the signals as measure of nonlinearity has also been quantified.  ...  Huang et al. (1998) and Huang et al. (1999) proposed that the Hilbert-Huang transformation (HHT) is an effective technique to resolve complex transient signals involving multiple harmonics.  ... 
doi:10.29252/jafm.75.253.28607 fatcat:xml5mrep6rbfzacza5sy3vkqdi

A Three Decades of Marvellous Significant Review of Power Quality Events Regarding Detection & Classification

Mian Khuram Ahsan, Tianhong Pan, Zhengming Li
2018 Journal of Power and Energy Engineering  
The present paper reveals a complete and inclusive study of power quality events, such as automatic classification and signal processing via creative techniques and the noises effect on the detection and  ...  Power quality is discussed in researchers/scientist on a daily basis worldwide since 1970 and it's one of the hot topic in all decades due to upcoming new trends and technologies [2] [3].  ...  Methods Based on Hilbert Huang Transform In 1998 Dr. Huang proposed a novel signal processing algorithm known as Hilbert Huang transform (HHT) which includes two processes [32] .  ... 
doi:10.4236/jpee.2018.68001 fatcat:5a7ubwe75jae3ouaylucyq5zca

A NEW VIEW OF NONLINEAR WATER WAVES: The Hilbert Spectrum

Norden E. Huang, Zheng Shen, Steven R. Long
1999 Annual Review of Fluid Mechanics  
We survey the newly developed Hilbert spectral analysis method and its applications to Stokes waves, nonlinear wave evolution processes, the spectral form of the random wave field, and turbulence.  ...  Our emphasis is on the inadequacy of presently available methods in nonlinear and nonstationary data analysis. Hilbert spectral analysis is here proposed as an alternative.  ...  NASA has filed for a patent for the algorithms of the EMD and Hilbert spectral analysis methods.  ... 
doi:10.1146/annurev.fluid.31.1.417 fatcat:ght32hj2b5eqxon6y6aw64qdmm

A review on Hilbert-Huang transform: Method and its applications to geophysical studies

Norden E. Huang, Zhaohua Wu
2008 Reviews of Geophysics  
Hilbert-Huang transform, consisting of empirical mode decomposition and Hilbert spectral analysis, is a newly developed adaptive data analysis method, which has been used extensively in geophysical research  ...  1] Data analysis has been one of the core activities in scientific research, but limited by the availability of analysis methods in the past, data analysis was often relegated to data processing.  ...  It is based on an adaptive basis, and the frequency is defined through the Hilbert transform.  ... 
doi:10.1029/2007rg000228 fatcat:hqvat3hi6bcolfffzhobcx5fwq

Advanced Spectral Analysis and Cross Correlation Based on the Empirical Mode Decomposition: Application to the Environmental Time Series

Dhouha Kbaier Ben Ismail, Pascal Lazure, Ingrid Puillat
2015 IEEE Geoscience and Remote Sensing Letters  
Furthermore, EMD based Time Dependent Intrinsic Correlation (TDIC) analysis is applied to consider the correlation between two nonstationary time series.  ...  In this paper, an application of the Empirical Mode Decomposition method (EMD) associated to the Hilbert Spectral Analysis (HSA) is presented.  ...  They also thank the Région Réunion for financial support brought to the NortekMed group for the acquisition of the data, provided to IFREMER within the framework of the HydroRun project.  ... 
doi:10.1109/lgrs.2015.2441374 fatcat:cacbqwdonvhm3potxauazpyjai
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