Simulation of nonstationary processes based on orthogonal Hilbert-Huang transform

Simulation of nonstationary processes has become an indispensable tool in engineering. A new method is proposed for the simulation of nonstationary random processes based on orthogonal Hilbert-Huang transform (OHHT) spectra of their sample observations. Firstly, orthogonal method is introduced to treat with IMF, and the result shows that orthogonal HHT is a universal method avoiding leakage of energy compared with conventional HHT. Secondly, based on OHHT, the average of the Hilbert spectra over the samples is then defined as the Hilbert spectrum of the process and used as the target in the simulation of the process. The time history of sample, Fourier amplitude spectrum of sample and response spectra of sample compare well with those of the records. The methods has great potential for engineering applications when dealing with nonstationary, nonlinear random processes.