Simulation of earthquake ground motion based on discrete stationary wavelet transform

Simulation of earthquake ground motion is a hot topic for seismic response analysis of structures.Utilizing the band pass character of wavelet transform,the relations between wavelet coefficients and power spectral density on different frequency bands are deduced based on discrete stationary wavelet transform.Then the random wavelet coefficients of each scale are obtained from the known time-dependent power spectral density function directly.At last,the inverse discrete stationary wavelet transform is applied to generate earthquake ground motion histories which have the properties of nonstationary in both amplitude and frequency contents.Through an example,the statistic characteristics of simulated time histories are compared with the objective values,and the feasibility and correctness of presented method are illustrated.