The Meta Distribution of the SIR in Linear Motorway VANETs

Abstract

The meta distribution of the signal-to-interferenceratio (SIR) is an important performance indicator for wireless networks because, for ergodic point processes, it describes the fraction of scheduled links that achieve certain reliability, conditionally on the point process. In this paper, we calculate the moments of the meta distribution in vehicular ad hoc networks (VANETs) along high-speed motorways. Due to the high speeds, the drivers maintain large safety distances, and the Poisson point process (PPP) becomes a poor deployment model. Because of that, we model the distribution of inter-vehicle distance equal to the sum of a constant hardcore distance and an exponentially distributed random variable. We design a novel discretization model for the locations of vehicles which can be used to approximate well the meta distribution of the SIR due to the hardcore process. We validate the model against synthetic motorway traces. On the other hand, the PPP overestimates significantly the coefficient-of-variation of the meta distribution due to the hardcore process, and its predictions fail. In addition, we show that the calculation of the meta distribution becomes especially meaningful in the upper tail of the SIR distribution.

On the k Nearest-Neighbor Path Distance from the Typical Intersection in the Manhattan Poisson Line Cox Process

“…Otherwise, to draw valid conclusions about the network's performance the road intersections must be explicitly modeled [16]. For motorway VANETs, on the contrary, the superposition of onedimensional (1D) point processes is sufficient [23]- [25].…”

“…Path distance distributions on a real map for 15 intersection points, see Fig.10a. 'Blue' lines are simulations, 'red' lines correspond to Algorithm 1 and 'black' lines to the two-dimensional PPP model, see equation(23). 2 500 simulation runs.…”

The Transdimensional Poisson Process for Vehicular Network Analysis

“…It is shown that the MD is bimodal, i.e., the individual link success probabilities are either low or high, not concentrated near their average. The MD of the SIR in linear motorways is analyzed in [23] using a model where the inter-vehicle distances follow the shifted-exponential probability density function.…”

On the SIR Meta Distribution in Massive MTC Networks with Scheduling and Data Aggregation

“…Authors of [11] exploited the SIR MD to adjust the per-link reliability via rate control. The MD is further used in [12] to describe the behavior of linear motorway vehicular ad hoc networks, where the vehicles' high speed makes the Poisson point process not suitable for system modeling. In [13], the MD allows the authors to optimize the power allocation in downlink NOMA with and without latency constraints.…”