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Empirical Mode Decomposition for Trivariate Signals

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2 Author(s)
ur Rehman, N. ; Dept. of Electr. & Electron. Eng., Imperial Coll. London, London, UK ; Mandic, D.P.

An extension of empirical mode decomposition (EMD) is proposed in order to make it suitable for operation on trivariate signals. Estimation of local mean envelope of the input signal, a critical step in EMD, is performed by taking projections along multiple directions in three-dimensional spaces using the rotation property of quaternions. The proposed algorithm thus extracts rotating components embedded within the signal and performs accurate time-frequency analysis, via the Hilbert-Huang transform. Simulations on synthetic trivariate point processes and real-world three-dimensional signals support the analysis.

Published in:

Signal Processing, IEEE Transactions on  (Volume:58 ,  Issue: 3 )

Date of Publication:

March 2010

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