Abstract
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.
| Original language | English |
|---|---|
| Journal | IEEE Transactions on Signal Processing |
| Volume | 58 |
| Issue | 3 PART 1 |
| Pages (from-to) | 1059-1068 |
| Number of pages | 10 |
| ISSN | 1053-587X |
| DOIs | |
| Publication status | Published - Mar 2010 |
| Externally published | Yes |
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