A non-stationary one-ring scattering model

This paper introduces a non-stationary one-ring scattering model in which the mobile station (MS) can move along a straight line from the ring's center to the border of the ring. This movement results in a time-variant angle-of-arrival (AOA), which is modeled by a stochastic process. We derive the first-order density of the AOA process in closed form. Subsequently, a closed-form expression is provided for the local power spectral density (PSD) of the channel. We also formulate the local autocorrelation function (ACF) of the complex channel gain in integral form, from which a highly accurate closed-form approximation is derived. Furthermore, the average Doppler shift and the Doppler spread of the channel are computed. The analytical results are illustrated and physically explained. It is shown that non-stationarity in time contradicts the common isotropic scattering assumption. The merit of this study is to open a new window to the performance analysis of mobile communication systems under non-stationary channel conditions.

[1]  Matthias Pätzold,et al.  A space-time channel simulator for MIMO channels based on the geometrical one-ring scattering model , 2004, IEEE 60th Vehicular Technology Conference, 2004. VTC2004-Fall. 2004.

[2]  Fredrik Tufvesson,et al.  A geometry-based stochastic MIMO model for vehicle-to-vehicle communications , 2009, IEEE Transactions on Wireless Communications.

[3]  Franz Hlawatsch,et al.  Time-Frequency Analysis: Concepts and Methods , 2008 .

[4]  Gerd Ascheid,et al.  Analysis of Local Quasi-Stationarity Regions in an Urban Macrocell Scenario , 2010, 2010 IEEE 71st Vehicular Technology Conference.

[5]  John G. Proakis,et al.  Probability, random variables and stochastic processes , 1985, IEEE Trans. Acoust. Speech Signal Process..

[6]  K.T. Wong,et al.  Landmobile Radiowave Multipaths' DOA-Distribution: Assessing Geometric Models by the Open Literature's Empirical Datasets , 2010, IEEE Transactions on Antennas and Propagation.

[7]  Matthias Pätzold,et al.  A Unified Disk Scattering Model and Its Angle-of-Departure and Time-of-Arrival Statistics , 2013, IEEE Transactions on Vehicular Technology.

[8]  Cheng-Xiang Wang,et al.  A Non-Stationary MIMO Channel Model for High-Speed Train Communication Systems , 2012, 2012 IEEE 75th Vehicular Technology Conference (VTC Spring).

[9]  Matthias Pätzold.  Mobile Radio Channels: Pätzold/Mobile Radio Channels , 2011 .

[10]  Matthias Patzold,et al.  Mobile Fading Channels , 2003 .

[11]  G. Matz,et al.  On non-WSSUS wireless fading channels , 2005, IEEE Transactions on Wireless Communications.

[12]  Franz Hlawatsch,et al.  Time-Frequency Analysis , 2008 .

[13]  Ali Abdi,et al.  A space-time correlation model for multielement antenna systems in mobile fading channels , 2002, IEEE J. Sel. Areas Commun..

[14]  I. Miller.  Probability, Random Variables, and Stochastic Processes , 1966 .

[15]  M. Patzold,et al.  A non-stationary MIMO vehicle-to-vehicle channel model based on the geometrical T-junction model , 2009, 2009 International Conference on Wireless Communications & Signal Processing.

[16]  Fredrik Tufvesson,et al.  Characterization of Vehicle-to-Vehicle Radio Channels from Measurements at 5.2 GHz , 2009, Wirel. Pers. Commun..

[17]  Matthias Pätzold,et al.  Stationarity Test for Wireless Communication Channels , 2009, GLOBECOM 2009 - 2009 IEEE Global Telecommunications Conference.

[18]  Joseph M. Kahn,et al.  Fading correlation and its effect on the capacity of multielement antenna systems , 2000, IEEE Trans. Commun..