Ergodic Rate Analysis of Two-State Pinching-Antenna Systems

📅 2025-11-03
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🤖 AI Summary
Practical reconfigurable antenna systems are constrained by discrete, rather than ideal continuous, antenna position adjustments. Method: Focusing on a two-state programmable antenna system (PAS) operating within a waveguide-based discrete spatial architecture, we model and analyze its ergodic achievable rate. We introduce the novel metric “voltage-controlled discretization efficiency” to quantify the performance gap between two-state configuration and continuous tuning. Leveraging stochastic geometry and ergodic rate theory, we derive a closed-form expression for the ergodic rate. Contribution/Results: Our analysis reveals that even a minimal number of discrete states can closely approximate the performance of continuous control. Simulation and theoretical validation confirm that the two-state PAS achieves near-optimal ergodic rates with extremely low control complexity. This provides a rigorous theoretical foundation and practical design guidelines for lightweight, scalable antenna architectures in programmable wireless environments.

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📝 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.
Problem

Research questions and friction points this paper is trying to address.

Analyzes ergodic rate of two-state pinching-antenna systems
Addresses discrete antenna positions in programmable wireless environments
Quantifies performance deviation from ideal continuous configurations
Innovation

Methods, ideas, or system contributions that make the work stand out.

Two-state pinching-antenna systems with fixed locations
Closed-form ergodic rate expression incorporating waveguide discreteness
Pinching discretization efficiency quantifying continuous configuration deviation
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