Research on chaotic character of ship-radiated noise based on phase space reconstruction

Abstract

The phase space reconstruction is an important method of chaotic time series analysis. In this paper, the method is applied to ship radiated noise obtained through both onshore acquisition system and underwater hydrophones. Utilizing the delay coordinate reconstruction method, the two primary parameters, delay time and embedding dimension are determined. By optimizing these two parameters, the reconstructed attractor is gained with prominent structure of nonlinear dynamics. The largest Lyapunov exponent and correlation dimension of the data have also been obtained, both of which exhibit chaotic behavior. Comparing with those of data acquired via hydrophones, it proves that the phase space reconstruction and chaotic time series analysis method is effective to seismic-acoustic signal processing.