A space‐time channel simulator for MIMO channels based on the geometrical one‐ring scattering model

Abstract

This paper introduces a general concept for the design of efficient multi-input multi-output (MIMO) narrowband fading channel simulators. The proposed procedure is applied on a reference model for the geometrical one-ring scattering model consisting of an infinite number of local scatterers laying on a ring around the mobile station (MS). The statistical properties of both the reference model and the simulation model are studied. Closed-form solutions are presented, for example for the space-time cross-correlation function (CCF), the time autocorrelation function (ACF) and the two-dimensional (2-D) space CCF. It will be shown, how the parameters of the MIMO channel simulator can be determined for any given space-time CCF describing the reference model. The excellent performance of the proposed space-time channel simulator is demonstrated by comparing its temporal and spatial correlation properties with those of the reference model. Moreover, it is demonstrated how the channel simulator can be used to analyze the statistics of the capacity of MIMO channels from time-domain simulations.

Mobile-to-mobile fading channels in amplify-and-forward relay systems under line-of-sight conditions: statistical modeling and analysis

“…The motivation to select an SOS-based channel simulator is that such simulators are widely acknowledged to be simple but efficient to model mobile radio fading channels under isotropic scattering conditions [30]. In addition, the concept of SOS has found its application in the design of channel simulators for temporally correlated frequency-nonselective channels [30,38], frequencyselective channels [39,40], and space-selective channels [12,[41][42][43]. However, in order to reproduce the desired channel characteristics in simulations, a careful selection of the simulator parameters is essential.…”

Development of a MATLAB Toolbox for Mobile Radio Channel Simulators

“…A detailed description of this model is as given in the references [15] and [16]. The main idea is to assume that all scatters are located on the same ring around the Mobile station.…”

The Riemann sum method for the design of sum-of-cisoids simulators for Rayleigh fading channels in non-isotropic scattering environments

“…On the basis of the central limit theorem [11, pp. 281-290] (1) where the nth plane wave is characterized by a cisoid with a random gain c c c n , a random phase θ θ θ n , and a random Doppler frequency f f f n . The phases θ θ θ n are defined as independent and identically distributed (i.i.d.)…”

“…They are important, for example, to study the channel capacity [1] and the bit error rate performance [2] in the realistic scenario where the Doppler power spectrum of the channel is asymmetrical [3].…”

“…It has been shown in a number of papers, e.g., [1], [4]- [6], that the simulation of non-isotropic scattering channels can efficiently be performed by means of a finite sum of complex sinusoids (cisoids). Sum-of-cisoids (SOC) models are closely related to the electromagnetic plane-wave propagation model [7].…”