Mobile-to-Mobile Uncorrelated Scatter Channels

TL;DR

This paper develops a comprehensive probabilistic model for mobile-to-mobile uncorrelated scatter channels, enabling direct computation of Doppler spectra and attenuation without needing path loss exponents, validated by measurement data.

Contribution

It introduces a novel probabilistic description and two-dimensional hybrid characteristic probability density functions for uncorrelated scatter channels, enhancing theoretical understanding and modeling accuracy.

Findings

The model accurately predicts Doppler spectra shapes.

The probabilistic approach includes attenuation effects inherently.

Theoretical results agree well with measurement data.

Abstract

In this paper, we present a complete analytic probability based description of mobile-to-mobile uncorrelated scatter channels. The correlation based description introduced by Bello and Matz is thus complemented by the presented probabilistic description leading to a common theoretical description of uncorrelated scatter channels. Furthermore, we introduce novel twodimensional hybrid characteristic probability density functions, which remain a probability density in one of the variables and a characteristic function in the other variable. Such a probability based description allows us to derive a mathematical model, in which the attenuation of the scattering components is inherently included in these two-dimensional functions. Therefore, there is no need to determine the path loss exponent. Additionally, the Doppler probability density function with the inclusion of the path loss leads to a concave function of the Doppler spectrum, which is quite different from the Jakes and Doppler spectra and can be directly parameterized by the velocity vectors and geometry of the scattering plane. Thus, knowing those parameters permits the theoretical computation of the Doppler spectra and temporal characteristic functions. Finally, we present a comparison between the computed probability based theoretical results and measurement data for a generic mobile-to-mobile channel. The agreement between the two shows the usefulness of the probability based description and confirms new shapes of the Doppler power spectra.