Theory and Applications of Time-Frequency Methods for Analysis of Non-Stationary Vibration and Seismic Signal

Abstract

The classical Fourier transform method does not reveal the temporal information of the signal, whereas the time-frequency methods provide the comprehensive information of non-stationary signal over the time-frequency plane. Based on the typical non-stationary signals several time-frequency methods such as short time Fourier transform, wavelet transform, Wigner --Ville distribution, Pseudo Wigner --Ville distribution, Hilbert Huang transform are evaluated. In this paper, these time-frequency methods are compared to the performance of Gabor -Wigner transform which proves the effectiveness of the GWT in comparison to other methods. The efficacy of this method is validated by two different numerical case studies, and it is further applied for damage detection of buildings which provides a significant information pertaining to damage to the building.