On the autocorrelation function of Rice processes for unsymmetrical doppler power spectral densities

Abstract

In this paper, we derive an analytical expression for the ACF of Rice processes in the general case of unsymmetrical Doppler power spectral densities. This expression, which is obtained based on the multidimensional Gaussian distribution approach, is shown to cover the ACF of Rayleigh processes as a special case. Various numerical examples are presented to illustrate the impact of the channel parameters on the ACF. Computer simulations, considering the von Mises distribution for the angle of arrivals, are also performed to check the validity of the analytical result. Finally, the analysis of the covariance spectrum is addressed.

Modelling and simulation of a generalised vehicle‐to‐vehicle fading channel

“…Cheng et al [19] derived the second-order statistics of V2V Ricean fading channel under non-isotropic conditions and compares the theoretical results with the measured data. Fayziyev et al [20] derived the autocorrelation function of Rice process under non-isotropic condition. Zheng [21] presented V2V model for Rayleigh fading under non-isotropic condition.…”

On the Statistical Properties of Nakagami-Hoyt Vehicle-to-Vehicle Fading Channel under Nonisotropic Scattering

“…Reference [27] derives the second order statistics of V2V Ricean fading channel under non-isotropic conditions and compares the theoretical results with the measured data. Reference [28] derives the autocorrelation function of Rice process under non-isotropic condition. Reference [29] presented V2V model for Rayleigh fading under non-isotropic condition.…”