Journal
IEEE TRANSACTIONS ON SIGNAL PROCESSING
Volume 58, Issue 3, Pages 1059-1068Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TSP.2009.2033730
Keywords
Empirical mode decomposition (EMD); Hilbert-Huang spectrum; motion analysis; quaternion algebra; rotation property of quaternions; spiking neurons; time-frequency analysis; trivariate signals; wind modeling
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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.
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