Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

Ergodic Rate Analysis of Two-State Pinching-Antenna Systems

Dimitrios Tyrovolas, Sotiris A. Tegos, Yue Xiao, Panagiotis D. Diamantoulakis, Sotiris Ioannidis, Christos Liaskos, George K. Karagiannidis, Stylianos D. Asimonis

TL;DR

This work analyzes ergodic rate performance of two-state pinching-antenna systems (PASs) in programmable wireless environments, where PA positions are fixed and only their on/off states vary. It derives a closed-form expression for the ergodic data rate by integrating over the discrete spatial structure of PA placements and user location, relating the number of PAs, geometry, and rate. A discretization efficiency metric, PDE, is defined as $\overline{\eta}_r = \overline{R}/R_c$ to quantify the gap to the ideal continuous-PAS benchmark. Numerical results validate the analysis and show near-continuous performance can be achieved with a finite number of PAs, especially in compact deployments, offering design guidance for PAS-enabled PWEs.

Abstract

Programmable wireless environments (PWEs) represent a central paradigm in next-generation communication networks, aiming to transform wireless propagation from a passive medium into an intelligent and reconfigurable entity capable of dynamically adapting to network demands. In this context, pinching-antenna systems (PASs) have emerged as a promising enabler capable of reconfiguring both the channel characteristics and the path loss itself by selectively exciting radiation points along dielectric waveguides. However, existing studies largely rely on the assumption of continuously reconfigurable pinching antenna (PA) positions, overlooking the discreteness imposed by practical implementations, which allow for only a finite number of PA position. In this paper, an analytical framework is developed for evaluating the rate performance of two-state PASs, where the antenna locations are fixed, and only their activation states can be controlled. The analysis incorporates the discrete spatial structure of the waveguide and leads to a closed-form expression for the ergodic achievable data rate, while pinching discretization efficiency is introduced to quantify the performance deviation from the ideal continuous configuration. Simulation results demonstrate that near-continuous performance can be achieved with a limited number of PAs, offering valuable insights into the design and scalability of PASs in PWEs.

Ergodic Rate Analysis of Two-State Pinching-Antenna Systems

TL;DR

This work analyzes ergodic rate performance of two-state pinching-antenna systems (PASs) in programmable wireless environments, where PA positions are fixed and only their on/off states vary. It derives a closed-form expression for the ergodic data rate by integrating over the discrete spatial structure of PA placements and user location, relating the number of PAs, geometry, and rate. A discretization efficiency metric, PDE, is defined as to quantify the gap to the ideal continuous-PAS benchmark. Numerical results validate the analysis and show near-continuous performance can be achieved with a finite number of PAs, especially in compact deployments, offering design guidance for PAS-enabled PWEs.

Abstract

Programmable wireless environments (PWEs) represent a central paradigm in next-generation communication networks, aiming to transform wireless propagation from a passive medium into an intelligent and reconfigurable entity capable of dynamically adapting to network demands. In this context, pinching-antenna systems (PASs) have emerged as a promising enabler capable of reconfiguring both the channel characteristics and the path loss itself by selectively exciting radiation points along dielectric waveguides. However, existing studies largely rely on the assumption of continuously reconfigurable pinching antenna (PA) positions, overlooking the discreteness imposed by practical implementations, which allow for only a finite number of PA position. In this paper, an analytical framework is developed for evaluating the rate performance of two-state PASs, where the antenna locations are fixed, and only their activation states can be controlled. The analysis incorporates the discrete spatial structure of the waveguide and leads to a closed-form expression for the ergodic achievable data rate, while pinching discretization efficiency is introduced to quantify the performance deviation from the ideal continuous configuration. Simulation results demonstrate that near-continuous performance can be achieved with a limited number of PAs, offering valuable insights into the design and scalability of PASs in PWEs.

Paper Structure

This paper contains 8 sections, 1 theorem, 33 equations, 3 figures.

Table of Contents

  1. Introduction
  2. System model
  3. Rate Analysis
  4. Numerical Results
  5. Conclusion
  6. Calculation of Integrals $I_i$ and $I_j$
  7. Integral $I_i$
  8. Integral $I_j$

Key Result

Proposition 1

Considering that $\varepsilon \sim \mathcal{U}\!\left[-\frac{\delta}{2},\frac{\delta}{2}\right]$ and $y_m \sim \mathcal{U}\!\left[-\frac{D_y}{2},\frac{D_y}{2}\right]$, the ergodic rate of the considered two-state PAS can be expressed as where $I_i(\cdot)$ and $I_j(\cdot)$ are given in Iix and Ijx at the top of the next page, respectively, $C=\frac{\eta P_t}{\sigma^2}$, $\mathrm{Ti}_2(z)=\tfrac{\m

Figures (3)

  • Figure 1: Overview of two-state PAS.
  • Figure 2: Ergodic data rate versus $\gamma_t$ for a two-state PAS for various $M$ values and a) $D_x=10$ m, and b) $D_x=30$ m.
  • Figure 3: PDA versus $M$ for $\gamma_t=90$ dB.

Theorems & Definitions (1)

  • Proposition 1