A multipath fading channel simulator based on time series generated by Lorenz chaotic attractor

Abstract

In this paper, we present a tapped delay line multipath fading channel simulator that uses deterministic Lorenz chaotic attractor to approximate complex-valued Gaussian random process generators to be connected at each tap. When Lorenz attractor becomes chaotic for specific values of its parameters, PDF of its y(t) becomes a crude approximation to Gaussian and hence can be used to simulate time-varying coefficients. MATLAB is used to both implement the simulator and numerically solve the Lorenz attractor. For a typical input, which we chose as a phase modulated signal, we show that the PDFs of output signal's amplitude and phase follow Rayleigh and Uniform distributions, respectively, as is expected theoretically.