Citing the EMD Package ================================= | If this package has significantly contributed to your work, please include the following citation: .. title image, description .. raw:: html

Andrew J. Quinn, Vitor Lopes-dos-Santos, David Dupret, Anna Christina Nobre & Mark W. Woolrich (2021)
EMD: Empirical Mode Decomposition and Hilbert-Huang Spectral Analyses in Python
Journal of Open Source Software 10.21105/joss.02977

.. highlight:: none :: @article{Quinn2021_joss, doi = {10.21105/joss.02977}, url = {https://doi.org/10.21105/joss.02977}, year = {2021}, publisher = {The Open Journal}, volume = {6}, number = {59}, pages = {2977}, author = {Quinn, Andrew J. and Lopes-dos-Santos, Vitor and Dupret, David and Nobre, Anna C. and Woolrich, Mark W.}, title = {EMD: Empirical Mode Decomposition and Hilbert-Huang Spectral Analyses in Python}, journal = {Journal of Open Source Software} } | The Empirical Mode Decomposition and Hilbert-Huang Spectrum were initially developed by `Norden Huang `_ and colleagues in 1998. This paper is the main reference for the motivation, theory and initial practice of EMD. .. title image, description .. raw:: html

Norden E. Huang, Zheng Shen, Steven R. Long, Manli C. Wu, Hsing H. Shih, Quanan Zheng, Nai-Chyuan Yen, Chi Chao Tung & Henry H. Liu (1998)
The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis
Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 10.1098/rspa.1998.0193

.. highlight:: none :: @article{Huang1998, doi = {10.1098/rspa.1998.0193}, url = {https://doi.org/10.1098/rspa.1998.0193}, year = {1998}, month = mar, publisher = {The Royal Society}, volume = {454}, number = {1971}, pages = {903--995}, author = {Norden E. Huang and Zheng Shen and Steven R. Long and Manli C. Wu and Hsing H. Shih and Quanan Zheng and Nai-Chyuan Yen and Chi Chao Tung and Henry H. Liu}, title = {The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis}, journal = {Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences} } | Reference Library ----------------- Depending on the analysis in question, you may also consider citing one or more of the following papers. The `function docstrings `_ in the `EMD` toolbox contains many citations and references for each method. Here we include a range of the most relevant papers, grouped by topic. | EMD, sifting and the Hilbert-Huang Transform ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ .. raw:: html

Further EMD Theory ^^^^^^^^^^^^^^^^^^ .. raw:: html

P. Flandrin, G. Rilling & P. Goncalves (2004)
Empirical Mode Decomposition as a Filter Bank
IEEE} Signal Processing Letters 10.1109/lsp.2003.821662

G. Rilling & P. Flandrin (2008)
One or Two Frequencies? The Empirical Mode Decomposition Answers
IEEE} Transactions on Signal Processing 10.1109/tsp.2007.906771

Ensemble Sift ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ .. raw:: html

Zhaohua Wu & Norden E. Huang (2009)
Ensemble Empirical Mode Decomposition: A Noise-Assisted Data Analysis Method
Advances in Adaptive Data Analysis 10.1142/s1793536909000047

Maria E. Torres, Marcelo A. Colominas, Gaston Schlotthauer & Patrick Flandrin (2011)
A complete ensemble empirical mode decomposition with adaptive noise
2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) 10.1109/icassp.2011.5947265

Masked Sift ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ .. raw:: html

Ryan Deering & James F. Kaiser (2005)
The Use of a Masking Signal to Improve Empirical Mode Decomposition
2005 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) 10.1109/icassp.2005.1416051

Feng-Fang Tsai, Shou-Zen Fan, Yi-Shiuan Lin, Norden E. Huang & Jia-Rong Yeh (2016)
Investigating Power Density and the Degree of Nonlinearity in Intrinsic Components of Anesthesia EEG by the Hilbert-Huang Transform: An Example Using Ketamine and Alfentanil
PLOS-ONE 10.1371/journal.pone.0168108

Marco S. Fabus, Andrew J. Quinn, Catherine E. Warnaby & Mark W. Woolrich (2021)
Automatic decomposition of electrophysiological data into distinct nonsinusoidal oscillatory modes
Journal of Neurophysiology 10.1152/jn.00315.2021

Instantaneous Frequency ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ .. raw:: html

Norden E. Huang, Zhaohua Wu, Steven R. Long, Kenneth C. Arnold, Xianyao Chen & Karin Blank (2009)
On Instantaneous Frequency
Advances in Adaptive Data Analysis 10.1142/s1793536909000096

Cycle Analysis and Waveform Shape ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ .. raw:: html

Quinn, Andrew J., Lopes-dos-Santos, Vítor, Huang, Norden, Liang, Wei-Kuang, Juan, Chi-Hung, Yeh, Jia-Rong, Nobre, Anna C., Dupret, David, Woolrich & Mark W. (2021)
Within-cycle instantaneous frequency profiles report oscillatory waveform dynamics
Journal of Neurophysiology 10.1152/jn.00201.2021

Marco S. Fabus, Mark W. Woolrich, Catherine W. Warnaby & Andrew J. Quinn (2022)
Understanding Harmonic Structures Through Instantaneous Frequency
IEEE} Open Journal of Signal Processing 10.1109/ojsp.2022.3198012

Holospectrum ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ .. raw:: html

Norden E. Huang, Kun Hu, Albert C. C. Yang, Hsing-Chih Chang, Deng Jia, Wei-Kuang Liang, Jia Rong Yeh, Chu-Lan Kao, Chi-Hung Juan, Chung Kang Peng, Johanna H. Meijer, Yung-Hung Wang, Steven R. Long & Zhauhua Wu (2016)
On Holo-Hilbert spectral analysis: a full informational spectral representation for nonlinear and non-stationary data
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 10.1098/rsta.2015.0206