In this paper, we derive a non-stationary multiple-input multiple-output (MIMO) vehicle-to-vehicle (V2V) channel model from the geometrical street model. Single-bounce scattering is assumed for both fixed and moving scatterers. The high mobility of the transmitter, the receiver, and the surrounding vehicles results in time-variant angles-of-departure (AODs) and angles-of-arrival (AOAs). This fact makes the model non-stationary. Starting from the geometrical model, an analytical expression is derived for the channel gain taking into account the impact of fixed and moving scatterers.
The statistical properties of the proposed channel model are studied. Analytical solutions are provided for the generalized local autocorrelation function (ACF), the generalized local power spectral density (PSD), and the local space cross-correlation function (CCF). Moreover, we illustrate the cumulative distribution function (CDF) of the stationarity interval. The proposed channel model is useful for the design and analysis of future MIMO V2V communication systems operating in non-stationary propagation conditions.