Bidimensional Statistical Empirical Mode Decomposition

This letter proposes a new algorithm, termed bidimensional statistical empirical mode decomposition (BSEMD) that adopts a smoothing procedure instead of an interpolation when constructing 2-D upper and lower envelopes. For this purpose, we investigate the sifting process effect of conventional bidimensional empirical mode decomposition (BEMD) on the decomposition results, and propose a modified BEMD via the smoothing sifting process coupling with a new identification method of 2-D local extrema. Furthermore, theoretical rationale for smoothing sifting is investigated.

[1]  B. Silverman,et al.  Nonparametric regression and generalized linear models , 1994 .

[2]  W. Marsden I and J , 2012 .

[3]  Christophe Damerval,et al.  A fast algorithm for bidimensional EMD , 2005, IEEE Signal Processing Letters.

[4]  Norden E. Huang,et al.  The Multi-Dimensional Ensemble Empirical Mode Decomposition Method , 2009, Adv. Data Sci. Adapt. Anal..

[5]  Jesmin F. Khan,et al.  Fast and Adaptive Bidimensional Empirical Mode Decomposition Using Order-Statistics Filter Based Envelope Estimation , 2008, EURASIP J. Adv. Signal Process..

[6]  R. Stephenson A and V , 1962, The British journal of ophthalmology.

[7]  Edsger W. Dijkstra,et al.  A Discipline of Programming , 1976 .

[8]  Norden E. Huang,et al.  Ensemble Empirical Mode Decomposition: a Noise-Assisted Data Analysis Method , 2009, Adv. Data Sci. Adapt. Anal..

[9]  Gabriel Rilling,et al.  One or Two Frequencies? The Empirical Mode Decomposition Answers , 2008, IEEE Transactions on Signal Processing.

[10]  D. Cox Nonparametric Regression and Generalized Linear Models: A roughness penalty approach , 1993 .

[11]  B. Silverman,et al.  Nonparametric Regression and Generalized Linear Models: A roughness penalty approach , 1993 .

[12]  Kyungmee O. Kim,et al.  Extending the scope of empirical mode decomposition by smoothing , 2012, EURASIP J. Adv. Signal Process..

[13]  Anderson Rocha,et al.  Object Delineation by -Connected Components , 2008, EURASIP J. Adv. Signal Process..

[14]  Jean Claude Nunes,et al.  Texture analysis based on local analysis of the Bidimensional Empirical Mode Decomposition , 2005, Machine Vision and Applications.

[15]  Markku Renfors,et al.  Code Tracking Algorithms for Mitigating Multipath Effects in Fading Channels for Satellite-Based Positioning , 2008, EURASIP J. Adv. Signal Process..