连续孔径无线通信中曲率域信令的基准测试：容量、鲁棒性、检测及对传统模态基的条件性
Benchmarking Curvature-Domain Signaling for Continuous-Aperture Wireless Communications: Capacity, Robustness, Detection, and Conditioning Against Legacy Modal Bases
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中文总结 AI 辅助
本文通过基准测试验证曲率域信令在连续孔径MIMO中的容量、鲁棒性和检测性能，证明其在相位噪声高、量化粗或信道非傅里叶对角时能以更少稳定模逼近SVD注水上界。
中文摘要 AI 辅助
连续孔径和全息MIMO系统激励了直接在大电磁孔径上而非少数天线端口上操作的信号传输。本文是算子理论曲率域框架的实证伴侣：在通用标量孔径信道模型下对曲率域信令进行可复现的基准测试，针对近场和全息MIMO中使用的模态基，对理论的双预算广义注水定律进行压力测试。所有方法共享相同的孔径、正交积分、菲涅尔或格林函数传播、仅相位约束、功率、相位能量和曲率能量预算、接收机噪声、相位量化和训练假设。比较的坐标包括曲率正则化本征模、原始相位系数、傅里叶相位模、多项式和类泽尼克波前模、近场匹配聚焦剖面、随机和优化的RIS相位码本，以及SVD注水上界。该主张有意限定：曲率域信令是一种规范不变、物理可实现的坐标系，在导数噪声、相位量化、采样密度或病态条件限制传统基的情况下，能以更少的稳定模接近相空间SVD注水上界。这不是新电磁物理的主张，也不是曲率模支配每个基线的声称。我们证明了离散化相位控制切空间的SVD上界关系，推导了成对误差和扰动界，并报告了容量、保留模、符号误差、鲁棒性、量化、采样、正则化、条件数和成本，以及蒙特卡洛结果的95%自助置信区间。一个判定表定位了曲率域信令具有工程相关性的机制：中到高相位噪声、粗相位量化和非傅里叶对角信道。
英文摘要
Continuous-aperture and holographic MIMO systems motivate signaling that operates directly on large electromagnetic apertures rather than on a few antenna ports. This paper is the empirical companion to the operator-theoretic curvature-domain framework: a reproducible benchmark of curvature-domain signaling under a common scalar aperture-channel model, stress-testing the theory's dual-budget generalized water-filling law against the modal bases used in near-field and holographic MIMO. All methods share the same apertures, quadrature, Fresnel or Green-function propagation, phase-only constraints, power, phase-energy and curvature-energy budgets, receiver noise, phase quantization and training assumptions. The compared coordinates are curvature-regularized eigenmodes, raw phase coefficients, Fourier phase modes, polynomial and Zernike-like wavefront modes, near-field matched-focus profiles, random and optimized RIS phase codebooks, and SVD water-filling upper bounds. The claim is deliberately limited: curvature-domain signaling is a gauge-invariant, physically realizable coordinate system that can approach the phase-space SVD water-filling bound with fewer stable modes where derivative noise, phase quantization, sampling density or ill conditioning limit conventional bases. It is not a claim of new electromagnetic physics, nor that curvature modes dominate every baseline. We prove the SVD upper-bound relation for the discretized phase-control tangent space, derive pairwise-error and perturbation bounds, and report capacity, retained modes, symbol error, robustness, quantization, sampling, regularization, conditioning and cost, with 95% bootstrap confidence intervals on Monte Carlo results. A verdict table locates the regimes where curvature-domain signaling is engineering-relevant: moderate-to-high phase noise, coarse phase quantization, and non-Fourier-diagonal channels.
发表机构
- NeuroBazar
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