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A Stochastic Geometric Analysis on Multi-cell Pinching-antenna Systems under Blockage Effect

Yanshi Sun, Zhiguo Ding, George K. Karagiannidis

TL;DR

The paper addresses performance evaluation for multi-cell pinching-antenna systems under blockage by modeling users with a Poisson cluster process and incorporating a practical preset-location pinching scheme. It develops a stochastic-geometry-based outage analysis, deriving a tractable Laplace transform of interference via the PGFL and Slivnyak's theorem and applying a Gaussian-Chebyshev approximation to capture LoS/NLoS effects. The key contributions include a closed-form-like outage probability expression, insights that pinching-antenna designs do not necessarily incur more interference than fixed antennas, and bounds for extreme preset-location counts, along with an ergodic-rate expression. The results demonstrate significant performance gains of pinching-antenna systems over fixed-antenna systems, even with a small number of preset positions, offering practical guidance for design and deployment in future dense networks.

Abstract

Recently, the study on pinching-antenna technique has attracted significant attention. However, most relevant literature focuses on a single-cell scenario, where the effect from the interfering pinching-antennas on waveguides connected to spatially distributed base stations (BSs) was ignored. To fulfill this knowledge gap, this letter aims to provide an analytical framework on performance evaluation for multi-cell pinching-antenna systems where spatially distributed waveguides which are connected to different BSs are considered. In particular, tools from stochastic geometry is applied for system modeling. The expression for the outage probability is obtained. Simulation results are provided to verify the accuracy of the analysis and demonstrate the superior performance of pinching-antenna system compared to fixed-antenna systems.

A Stochastic Geometric Analysis on Multi-cell Pinching-antenna Systems under Blockage Effect

TL;DR

The paper addresses performance evaluation for multi-cell pinching-antenna systems under blockage by modeling users with a Poisson cluster process and incorporating a practical preset-location pinching scheme. It develops a stochastic-geometry-based outage analysis, deriving a tractable Laplace transform of interference via the PGFL and Slivnyak's theorem and applying a Gaussian-Chebyshev approximation to capture LoS/NLoS effects. The key contributions include a closed-form-like outage probability expression, insights that pinching-antenna designs do not necessarily incur more interference than fixed antennas, and bounds for extreme preset-location counts, along with an ergodic-rate expression. The results demonstrate significant performance gains of pinching-antenna systems over fixed-antenna systems, even with a small number of preset positions, offering practical guidance for design and deployment in future dense networks.

Abstract

Recently, the study on pinching-antenna technique has attracted significant attention. However, most relevant literature focuses on a single-cell scenario, where the effect from the interfering pinching-antennas on waveguides connected to spatially distributed base stations (BSs) was ignored. To fulfill this knowledge gap, this letter aims to provide an analytical framework on performance evaluation for multi-cell pinching-antenna systems where spatially distributed waveguides which are connected to different BSs are considered. In particular, tools from stochastic geometry is applied for system modeling. The expression for the outage probability is obtained. Simulation results are provided to verify the accuracy of the analysis and demonstrate the superior performance of pinching-antenna system compared to fixed-antenna systems.

Paper Structure

This paper contains 7 sections, 3 theorems, 18 equations, 3 figures.

Table of Contents

  1. Introduction
  2. System Model
  3. Performance Analysis
  4. Laplace transform of the interferences
  5. Outage probability
  6. Numerical Results
  7. Conclusions

Key Result

Lemma 1

The Laplace transform of $I$ can be approximated as follows: where $\theta_k=\cos{\frac{(2k-1)\pi}{2K}}$, $\phi_k=\frac{\pi}{4}(1+\theta_k)$, and $K$ is the parameter of the Gaussian-Chebyshev approximation.

Figures (3)

  • Figure 1: Illustration of the multi-cell pinching-antenna system.
  • Figure 2: Outage probabilities achieved by pinching-antenna system., $\alpha_l=2$, $\alpha_N=3$, $\lambda=10^{-6}$, $\mathcal{R}=20$ m, $L_{w}=10$ m, $\bar{N}_{P}=11$ and $H=3$ m.
  • Figure 3: Ergodic data rates achieved by pinching-antenna and fixed-antenna systems.$\alpha_l=2$, $\alpha_N=4$, $\lambda=10^{-5}$, $\mathcal{R}=100$ m, $L_{w}=100$ m and $H=4$ m.

Theorems & Definitions (3)

  • Lemma 1
  • Lemma 2
  • Lemma 3