On the nonlinear properties analysis of multipath fading channel

In this paper, a nonlinear dynamical model for multipath fading channel is established on the basis of the study on the nonlinear dynamical properties of wireless mobile communication channel by using chaos and fractal theory. The phase space of the multipath fading time serials is reconstructed and the correlation dimension is analyzed, which indicate that the dynamical system has finite degree of freedom and a positive maximum Lyapunov exponent. The chaotic characteristic of the multipath fading is demonstrated and the nonlinear evolution mechanism is observed. Finally, the multipath signals are reconstructed by using fractal interpolation algorithm and gaining reasonably accurate replications. The results indicate that the nonlinear dynamical system could be a more suitable model than the classic stochastic models for describing multipath fading phenomenon.