For the traditional eigenvalue analysis method is not suitable for analyzing the large scale high-order system and the Fourier method and Prony algorithm are incapable of dealing with nonstationary signals, a novel method, atomic sparse decomposition, is introduced in this paper which is invented to deal with nonlinear or nonstationary signals to the analysis of low-frequency oscillations. This method obtains the optimal atom from a signal by using matching pursuits (MP) algorithm with the Gabor dictionary, and makes a search for parameters using the Newton-like method and finally identified t...