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Ray Tracing-Based LoRaWAN Gateway Placement for Reliable Connectivity in Amazonian Regions

Cláudio Modesto, Lucas Mozart, Cleverson Nahum, Bruno Castro, Aldebaro Klautau

arXiv:2608.30890v1cs.NI

TL;DR

Reliable Amazonian LoRaWAN connectivity depends on channel conditions, making channel-model selection important during gateway planning. The paper optimizes gateway placement across ray-tracing, empirical, and stochastic channels and finds that site-independent models can require more gateways than site-specific channels.

  • Problem

    The paper examines how channel-model choice affects reliable LoRaWAN gateway planning, coverage, and packet delivery ratio in Amazon rainforest environments.

  • Method

    The authors propose a gateway-placement optimization model and evaluate ray-tracing-based, empirical, and stochastic channel models in forest scenarios.

  • Results

    Site-independent channels can require significantly more gateways to achieve similar packet delivery ratio as ray-tracing channels, which achieve it with one gateway.

  • Takeaways & Limitations

    Gateway placement based on site-specific channels can satisfy the same network requirements with fewer gateways than placement based on site-independent channels.

Abstract

from arXiv · show

Network planning is an important task in wireless communications, as it helps network operators avoid unnecessary costs. In the context of the internet of things, using long-range wide-area network technologies in the Amazon rainforest, a key challenge is ensuring reliable communication between end-devices and gateways (GWs). In this sense, this reliability is strongly affected by channel conditions. Thus, during the planning phase, choosing the appropriate channel model is an important decision for accurate simulations. Given this motivation, in this work, we propose an optimization model to evaluate the impact of different types of channels on coverage and packet delivery ratio in a forest scenario. We used channels from ray tracing, empirical, and stochastic approaches to assess how decisions made during the network planning phase, in terms of the channel used, affect GW placement and, specifically, the percentage of end-devices covered and the reliability of the communication system. Our results show that GW placement based on site-independent channels can overestimate the number of GWs required to meet the network requirements, whereas using site-specific channels allows us to satisfy the same requirements with fewer GWs.

I. Introduction

The paper addresses LoRaWAN gateway placement in forest environments by examining how channel-model choices affect planning outcomes. It proposes an optimization model and supporting artifacts to evaluate coverage and packet delivery ratio under different channel representations.

  • Motivation: The paper investigates stochastic, empirical, and ray-tracing-based site-specific channels in Amazon forestlike LoRaWAN scenarios.
  • Motivation: Existing LoRaWAN gateway-placement studies largely focus on macro-urban scenarios and site-independent channel models, simplifying forest-specific propagation effects.
  • Contributions: The proposed optimization model places gateways in forest scenarios using ray-tracing-based channels.
  • Contributions: The study analyzes how channel-model choices affect packet delivery ratio and coverage metrics during forest network planning.
  • Contributions: The authors provide open artifacts including a detailed forest 3D scenario and a ray-tracing-derived dataset of large-scale parameters.

II. Gateway placement optimization

The gateway-placement problem is formulated as a binary integer linear program that minimizes deployed gateways while enforcing coverage, PDR, assignment, and spreading-factor constraints. The model uses position-specific aggregate PDR values without collisions because evaluating all gateway interactions was computationally demanding.

  • Optimization formulation: Gateway placement is formulated as a binary integer linear program over candidate grid positions, with binary variables for installation, gateway–device service, and spreading-factor operation.Each candidate position corresponds to a Cartesian grid coordinate.
  • PDR modeling: Aggregate collision-free PDR is represented as a position-indexed vector, with each function value mapping a gateway location to its corresponding aggregate PDR.The model uses PDR_no_collision because computing interactions and collisions across all gateway-position combinations was too computationally demanding.
  • Optimization formulation: The objective minimizes the number of deployed gateways while requiring a specified percentage of end-devices to be covered.Coverage depends on whether received power ω_d meets the threshold ρ, with α specifying the required coverage percentage.
  • Constraints: Gateway placement must satisfy a minimum packet delivery ratio γ for end-devices whose coverage requirements are met.The binary parameter ζ_p^s indicates whether the gateway at position p provides sufficient PDR Ω_p ≥ γ.
  • Constraints: The formulation enforces unique gateway–device links, so each end-device is covered by at most one selected gateway that provides coverage.These constraints couple device assignment to gateway selection and coverage.

III. Experiments

The experiments evaluate channel-model effects on gateway placement in a detailed rural forest scenario. They compare site-independent models with ray-tracing-based site-specific models under fixed placement, propagation, and optimization settings.

  • Scenario: The rural 3D scenario contains 870 008 faces and is predominantly vegetation with relative permittivity 1.1 and conductivity 0.5.The scenario represents a highly detailed forest environment for evaluating propagation effects.
  • Deployment: Gateway candidates form a 6 × 7 grid, with each gateway deployed at a height of 17 m.End-devices are organized spatially in the 3D scenario and have a height of 2 m.
  • Channel models: The study compares site-independent Okumura-Hata, 3GPP-RMa, log-distance, and COST-231 models with WI-based X3D and Full-3D ray-tracing models.Site-independent configurations use a pathloss exponent of 3.76 and a 32 m reference distance; frequency-dependent models use 1 GHz.
  • Experiments: The first experiment analyzes how channel-model choice changes gateway positioning using minimum received power ρ = −95 dBm, minimum PDR γ = 0.7, and minimum ED coverage α = 0.8.These thresholds define the requirements used to compare placement solutions.
  • Experiments: A second experiment performs sensitivity analysis on the minimum received-power threshold ρ using the RT-LoRaWAN framework with WI and ns-3.The simulations use configured computing environments for ray-tracing and network simulation.

IV. Experimental Results

Experimental results show that optimized gateway placement and network performance vary substantially with the selected channel model, especially between site-independent and site-specific approaches. Sensitivity analysis further reveals infeasible or highly costly solutions for some site-independent models.

  • Spatial analysis: The number of optimized GWs varies significantly across channel models in the forest scenario.COST-231 requires 4 GWs, log-distance 8, and Okumura-Hata or 3GPP-RMa 1 GW each, with different positions.
  • Coverage and PDR: Site-independent models produce different coverage estimates, with log-distance below 85% and 3GPP-RMa and Okumura-Hata near 98%.Site-specific WI Full 3D achieves full coverage even when gateways occupy the same locations.
  • Coverage and PDR: RT-based channels can achieve similar PDR with fewer gateways than log-distance and COST-231 models.The analysis reports similar PDR using RT channels with one gateway, while the site-independent models require significantly more gateways.
  • Sensitivity analysis: The optimization is infeasible for Okumura-Hata and 3GPP-RMa at some received-power thresholds.The sensitivity analysis varies ρ from −100 to −65 dBm while fixing α = 0.8 and γ = 0.7.
  • Sensitivity analysis: At −85 dBm, log-distance and COST-231 each require 32 GWs, compared with 2 for WI X3D and 1 for WI Full 3D.The site-independent solutions imply nearly one gateway per end-device, whereas the RT-based solutions require far fewer gateways.

V. Conclusions

The paper concludes that gateway-placement optimization in Amazonian environments is highly sensitive to the channel model. Site-independent models can be infeasible or produce unrealistic gateway requirements, while site-specific WI channels avoid these issues in the reported evaluations.

  • Conclusions: The proposed optimization model incorporates RT-based, empirical, and stochastic channel models for gateway placement in Amazonian environments.The site-specific environment includes trees and vegetation with explicit electromagnetic properties.
  • Conclusions: Different channel models can substantially change covered end-device percentages and PDR even when gateways are placed at the same locations.This conclusion follows from the reported spatial analysis across site-specific and site-independent channels.
  • Conclusions: Some site-independent models are infeasible or suggest nearly one gateway per end-device, unlike the reported site-specific WI channels.The sensitivity analysis identifies infeasibility issues and unrealistic solutions for some site-independent models.
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