Derivative-optimized empirical mode decomposition for the Hilbert-Huang transform
Chu, Peter C.
MetadataShow full item record
In the empirical mode decomposition (EMD) for the Hilbert–Huang transform (HHT), a nonlinear and non-stationary signal is adaptively decomposed by an HHT into a series of intrinsic mode functions (IMFs) with the lowest one as the trend. At each step of the EMD, the low-frequency component is mainly determined by the average of the upper envelope (consisting of local maxima) and the lower envelope (consisting of local minima). The high-frequency component is the deviation of the signal relative to the low-frequency component. The fact that no local maximum and minimum can be determined at the two end-points leads to detrend uncertainty, and in turn causes uncertainty in the HHT. To reduce such uncertainty, Hermitian polynomials are used to obtain the upper and lower envelopes with the first derivatives at the two end-points (qL , qR) as parameters, which are optimally determined on the base of minimum temporal variability of the low-frequency component in the each step of the decomposition. This well-posed mathematical system is called the Derivative-optimized EMD (DEMD). With the DEMD, the end effect, and detrend uncertainty are drastically reduced, and scales are separated naturally without any a priori subjective selection criterion.
Journal of Computational and Applied Mathematics, in pressThe article of record as published may be located at http://dx.doi.org/10.1016/j.cam.2013.03.046
RightsThis publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
Showing items related by title, author, creator and subject.
Experimental investigation on vortex shedding in flow over second-generation, controlled-diffusion, compressor blades in cascade Brown, Peter J. (Monterey, California. Naval Postgraduate School, 2002-03);An investigation of vortex shedding downstream of a cascade of second-generation, controlled-diffusion, compressor stator blades, at off-design inlet-flow angles of 31, 33 and 35 degrees and Reynolds numbers, based on chord ...
Wilmott, Daniel (Monterey, California: Naval Postgraduate School, 2015-09);A microelectromechanical direction-finding sensor has been developed based on the mechanically coupled ears of the Ormia ochracea fly. Previous designs determined the direction of sound relative to the normal of the sensor ...
Orr, R.L.; Hultgren, R.; Goldberg, A. (1957-10-01);A liquid tin solution calorimeter has been constructed for determining the heats of formation of alloy phases from the heats of solution of the alloys and of the pure component metals in liquid tin. The design of the ...