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Cooperative Tri-Point Model-Based Ground-to-Air Coverage Extension in Beyond 5G Networks

Ziwei Cai, Min Sheng, Junju Liu, Chenxi Zhao, Jiandong Li

TL;DR

The paper tackles extending ground-to-air (G2A) coverage in beyond-5G networks despite down-tilted terrestrial base stations. It introduces the Cooperative Tri-Point (CoTP) model, a Delaunay triangulation–driven cooperative structure, and two beam-generation algorithms—Space Layered Beam Cooperative (SLBC) and Adaptive Beam Cooperative (ABC)—to maximize 3D airspace coverage while controlling interference with ground coverage. The authors prove a minimum overlap property for tri-point cooperation, design a DT-based coverage structure, and validate the approach through extensive simulations and field trials, reporting up to a 83% gain in 3D coverage over baseline down-tilted configurations. The work offers a practical, cost-efficient method to extend G2A connectivity in beyond-5G networks by leveraging existing infrastructure and advanced 3D beamforming techniques.

Abstract

The utilization of existing terrestrial infrastructures to provide coverage for aerial users is a potentially low-cost solution. However, the already deployed terrestrial base stations (TBSs) result in weak ground-to-air (G2A) coverage due to the down-tilted antennas. Furthermore, achieving optimal coverage across the entire airspace through antenna adjustment is challenging due to the complex signal coverage requirements in three-dimensional space, especially in the vertical direction. In this paper, we propose a cooperative tri-point (CoTP) model-based method that utilizes cooperative beams to enhance the G2A coverage extension. To utilize existing TBSs for establishing effective cooperation, we prove that the cooperation among three TBSs can ensure G2A coverage with a minimum coverage overlap, and design the CoTP model to analyze the G2A coverage extension. Using the model, a cooperative coverage structure based on Delaunay triangulation is designed to divide triangular prism-shaped subspaces and corresponding TBS cooperation sets. To enable TBSs in the cooperation set to cover different height subspaces while maintaining ground coverage, we design a cooperative beam generation algorithm to maximize the coverage in the triangular prism-shaped airspace. The simulation results and field trials demonstrate that the proposed method can efficiently enhance the G2A coverage extension while guaranteeing ground coverage.

Cooperative Tri-Point Model-Based Ground-to-Air Coverage Extension in Beyond 5G Networks

TL;DR

The paper tackles extending ground-to-air (G2A) coverage in beyond-5G networks despite down-tilted terrestrial base stations. It introduces the Cooperative Tri-Point (CoTP) model, a Delaunay triangulation–driven cooperative structure, and two beam-generation algorithms—Space Layered Beam Cooperative (SLBC) and Adaptive Beam Cooperative (ABC)—to maximize 3D airspace coverage while controlling interference with ground coverage. The authors prove a minimum overlap property for tri-point cooperation, design a DT-based coverage structure, and validate the approach through extensive simulations and field trials, reporting up to a 83% gain in 3D coverage over baseline down-tilted configurations. The work offers a practical, cost-efficient method to extend G2A connectivity in beyond-5G networks by leveraging existing infrastructure and advanced 3D beamforming techniques.

Abstract

The utilization of existing terrestrial infrastructures to provide coverage for aerial users is a potentially low-cost solution. However, the already deployed terrestrial base stations (TBSs) result in weak ground-to-air (G2A) coverage due to the down-tilted antennas. Furthermore, achieving optimal coverage across the entire airspace through antenna adjustment is challenging due to the complex signal coverage requirements in three-dimensional space, especially in the vertical direction. In this paper, we propose a cooperative tri-point (CoTP) model-based method that utilizes cooperative beams to enhance the G2A coverage extension. To utilize existing TBSs for establishing effective cooperation, we prove that the cooperation among three TBSs can ensure G2A coverage with a minimum coverage overlap, and design the CoTP model to analyze the G2A coverage extension. Using the model, a cooperative coverage structure based on Delaunay triangulation is designed to divide triangular prism-shaped subspaces and corresponding TBS cooperation sets. To enable TBSs in the cooperation set to cover different height subspaces while maintaining ground coverage, we design a cooperative beam generation algorithm to maximize the coverage in the triangular prism-shaped airspace. The simulation results and field trials demonstrate that the proposed method can efficiently enhance the G2A coverage extension while guaranteeing ground coverage.
Paper Structure (16 sections, 2 theorems, 16 equations, 12 figures, 4 tables, 1 algorithm)

This paper contains 16 sections, 2 theorems, 16 equations, 12 figures, 4 tables, 1 algorithm.

Key Result

Proposition 1

Let $\zeta_{1},\zeta_{2},\zeta_{3}$ denote the inter-region overlap ratio of the TP, SP, and HP coverage structures, respectively, with guaranteed seamless coverage. The inequality $\zeta_{1}<\zeta_{2}<\zeta_{3}$ holds.

Figures (12)

  • Figure 1: Illustration of the cellular network for G2A coverage extension.
  • Figure 2: Illustration of the TP coverage structure.
  • Figure 3: Illustration of the SP coverage structure.
  • Figure 4: Illustration of the HP coverage structure.
  • Figure 5: Illustration of the CoTP model.
  • ...and 7 more figures

Theorems & Definitions (4)

  • Proposition 1
  • proof
  • Proposition 2
  • proof