Problem
Research questions and friction points this paper is trying to address.
Positioning-assisted beamforming
Channel capacity analysis
Positioning error
Capacity Analysis and Joint Gaussian Beam Pattern Optimization for Positioning-Assisted Communications
🤖 AI Summary
本文解决了定位辅助波束成形系统中因定位误差导致的信道容量分析难题，通过推导二维和三维系统的即时与遍历信道容量近似闭式解，并据此优化高斯波束模式以最大化容量。
📝 Abstract
Positioning-assisted beamforming is a novel enabling technology for massive multiple-input multiple-output in modern wireless communications, as it provides reliable beam steering without requiring explicit channel state information. However, the channel capacity analysis under positioning error remains mathematically intractable, which limits both performance characterization and beamforming design. In this work, we derive instantaneous and ergodic channel capacity approximations in closed forms for both two-dimensional and three-dimensional positioning-assisted beamforming systems. Based on the new expressions, we provide closed-form optimal joint Gaussian beam pattern that maximizes the asymptotic ergodic capacity. Numerical results verify the theoretical capacity expressions and the optimal beam pattern. The derived expressions enable efficient beam design to maximize channel capacity and provide a theoretical basis for positioning-assisted beamforming design.
Innovation
Methods, ideas, or system contributions that make the work stand out.
Positioning-assisted Beamforming
Channel Capacity Approximation
Gaussian Beam Pattern
Ergodic Capacity
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