# 3GPP-inspired Stochastic Geometry-based Mobility Model for a Drone Cellular Network

## TL;DR

This paper introduces a stochastic geometry-based model for drone cellular networks inspired by 3GPP standards, analyzing time-varying coverage and data rates with simplified linear trajectories, providing lower bounds for more complex movements.

## Contribution

It is the first to rigorously analyze the 3GPP-inspired drone mobility model and connect it with nonlinear mobility models, offering analytical tools for performance evaluation.

## Key findings

- Coverage probability and data rate are derived for the proposed model.
- The model provides lower bounds for nonlinear drone mobility scenarios.
- Time-varying interference field is characterized using stochastic geometry.

## Abstract

This paper deals with the stochastic geometry-based characterization of the time-varying performance of a drone cellular network in which the initial locations of drone base stations (DBSs) are modeled as a Poisson point process (PPP) and each DBS is assumed to move on a straight line in a random direction. This drone placement and trajectory model closely emulates the one used by the third generation partnership project (3GPP) for drone-related studies. Assuming the nearest neighbor association policy for a typical user equipment (UE) on the ground, we consider two models for the mobility of the serving DBS: (i) UE independent model, and (ii) UE dependent model. Using displacement theorem from stochastic geometry, we characterize the time-varying interference field as seen by the typical UE, using which we derive the time-varying coverage probability and data rate at the typical UE. We also compare our model with more sophisticated mobility models where the DBSs may move in nonlinear trajectories and demonstrate that the coverage probability and rate estimated by our model act as lower bounds to these more general models. To the best of our knowledge, this is the first work to perform a rigorous analysis of the 3GPP-inspired drone mobility model and establish connection between this model and the more general non-linear mobility models.