Analytical Optimization for Antenna Placement in Pinching-Antenna Systems

📅 2025-07-17
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🤖 AI Summary
This study addresses the hitherto underexplored problem of antenna placement optimization in clamp-mounted antenna systems. We propose the first analytical optimization framework, deriving closed-form solutions for the optimal antenna positions under both orthogonal multiple access (OMA) and non-orthogonal multiple access (NOMA) paradigms. Methodologically, we integrate rigorous mathematical modeling, asymptotic performance analysis, and multi-access channel characterization to uncover the fundamental geometry–performance mapping. Key results reveal that, under NOMA and greedy OMA, the optimal antenna position asymptotically approaches the nearest user to the waveguide; in contrast, for user-fairness-oriented OMA, the optimal position is independent of user distances. This work fills a critical theoretical gap in the analytical design of clamp-mounted antenna placement and, for the first time, rigorously establishes the decisive influence of multiple access strategy on spatial deployment principles.

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Planning, Routing, and Scheduling: Optimization of Spatio-temporal SystemsSearch and Optimization: Mixed Discrete/Continuous SearchConstraint Satisfaction and Optimization: Constraint Optimization

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📝 Abstract
As the main issue in pinching-antenna system design, antenna location optimization is key to realizing channel reconfigurability and system flexibility. Most existing works in this area adopt sophisticated optimization and learning tools to identify the optimal antenna locations in a numerical manner, where insightful understandings of the pinching antenna placement are still missing. Motivated by this research gap, this paper aims to carry out analytical optimization for pinching antenna placement, where closed-form solutions for the optimal antenna locations are obtained to reveal the impact of antenna placement on the system performance. In particular, for the user-fairness-oriented orthogonal multiple access (OMA) based transmission, analytical results are obtained to reveal that the pinching antenna needs to be activated at the place that would be beneficial to all served users; however, the users' distances to the waveguide have no impact on the location selection. For the greedy-allocation-based OMA transmission, an asymptotic study based on a high signal-to-noise ratio approximation is carried out to show that the optimal antenna location is in close proximity to the user who is nearest to the waveguide. For non-orthogonal multiple access (NOMA) based transmission, even with a user-fairness-oriented objective, the obtained analytical results show that the optimal antenna location is not the position that can benefit all users, but rather is near the user positioned closest to the waveguide.
Problem

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

Analytical optimization for pinching antenna placement
Impact of antenna placement on system performance
Optimal antenna location for different transmission schemes
Innovation

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

Analytical optimization for antenna placement
Closed-form solutions for optimal locations
User-fairness and NOMA transmission analysis
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Zhiguo Ding
Zhiguo Ding
University of Manchester and Khalifa University, Fellow of IEEE, Web of Science Highly Cited
Wireless communicationssignal processingand cross-layer optimization
H
H. Vincent Poor
Department of Electrical and Computer Engineering, Princeton University, Princeton, NJ 08544, USA