# A Non-WSSUS Channel Simulator for V2X Communication Systems
## 6 Simulation Examples
### Simulation Setup  
For the simulation experiments, we considered the geometrical one-ring scattering model with a ring of IOs surrounding the \(R_{X}\) under isotropic (\(\kappa=0\)) and non-isotropic (\(\kappa>0\)) scattering conditions. The propagation scenarios were defined in such a way that they resemble situations where road safety applications might have a fundamental role. The evaluated scenarios are: (i) an intersection where two vehicles are approaching each other; (ii) an overtaking maneuver where a vehicle changes its trajectory to pass the one in the front; and (iii) a highway situation with two vehicles moving on opposite lanes. We assumed a set of general parameters to compare the performance in the different propagation scenarios. The number of IOs surrounding the receiver was \(\mathcal{L}=20\), the initial distance between \(T_{X}\) and \(R_{X}\): \(D=500\) m, and the distance of the ring of IOs surrounding \(R_{X}\): \(d=30\) m. For the cases that include acceleration components (\(a_{T}\) and \(a_{R}\)), we considered a magnitude of \(20\) m/s\({}^{2}\). We acknowledge that these acceleration terms are extremely high for an urban environment, but they help us to illustrate that despite their excessive magnitudes, the performance differences from a constant velocity scenario are almost imperceptible by the small transmission times. The particular parameters that define the motion of the MSs for each scenario are described below.  
* Scenario I: Intersection. The MSs move in such a way that they approach each other with angles \(\gamma_{T}=60^{\circ}\) and \(\gamma_{R}=120^{\circ}\), and both \(T_{X}\) and \(R_{X}\) acceleration components point in the same direction of their corresponding initial speeds (i.e., \(\gamma_{T}=\rho_{T}\) and \(\gamma_{R}=\rho_{R}\)). The motion of the MSs resembles a safety scenario where vehicles circulate on two streets that intersect at one point. This scenario is depicted in Figure 5.
* Scenario II: Overtaking maneuver. A vehicle accelerates and changes its direction of motion aiming to overtake the one in front of it. For this scenario, we assume that both vehicles start moving in the same direction \(\gamma_{T}=\gamma_{R}=0^{\circ}\), but the transmitting station has an acceleration component with angle \(\gamma_{R}=15^{\circ}\), which modifies its trajectory over time. In the case of the receiving vehicle, this one has no acceleration component, i.e., \(\mathbf{a}_{R}=\mathbf{0}\). Figure 6 illustrates this scenario where the two vehicles start on the same lane.
* Scenario III: Opposite lanes. Two vehicles are approaching each other on opposite parallel lanes of a highway environment. This scenario is shown in Figure 7, where we consider the angles \(\gamma_{T}=\rho_{T}=-10^{\circ}\) and \(\gamma_{R}=\rho_{R}=170^{\circ}\) to describe the motion of the vehicles in opposite directions over parallel lanes.  
Figure 5: Scenario I: Propagation scenario reproducing a safety situation, where two vehicles are approaching an intersection on the road.  
Figure 6: Scenario II: Propagation scenario that recreates an overtaking maneuver, where a vehicle changes its lane before passing another in front.  
Figure 7: Scenario III: Propagation scenario resembling a highway situation, where two vehicles are approaching on opposite lanes.