METHOD AND SYSTEM OF IMPLEMENTING HIGH DIMENSIONAL HOLO-HILBERT SPECTRAL ANALYSIS

摘要

The present invention provides a method of implementing the high dimensional Holo-Hilbert spectral analysis which transforms a data from time domain to frequency domain. At the first of the steps, obtaining an amplitude intrinsic mode component and an instantaneous frequency component of the data by a mode decomposition, such as using Empirical Mode Decomposition (EMD), adaptive filtering, or optimal basis pursue, etc to show a plurality of amplitude intrinsic mode functions (amplitude IMFs) and a plurality of frequency intrinsic mode functions (frequency IMFs). Then, analyzing each of the amplitude IMFs and the frequency IMFs to obtain a plurality value in different high order components. At the last, to establish a high dimensional Holo-Hilbert spectrum by combining the high order component with the original component to show the interaction between frequency and amplitude. Consequently, the present invention not only discloses a spectrum that can represent all the possible processes: additive and multiplicative, intra- and inter-mode, stationary and nonstationary, linear and nonlinear interactions, but also makes a new index for quantifying the inter-mode degree of nonlinearity possible.