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SN-ASMO:卫星导航阵列空间流形精确观测理论——观测形成、统一U(1)几何、本征信息及RTK整数结构保留的数学基础

SN-ASMO: Satellite-Navigation Array Spatial-Manifold Precise Observation Theory A Mathematical Foundation for Observation Formation, Unified U(1) Geometry, Intrinsic Information, and Preservation of the RTK Integer Structure

Xianwei Meng

arXiv 2608.13611首次发表:更新:

发表机构

Hefei University of Technology; Anhui Zhongke Yujiang Technology Co., Ltd.(合肥工业大学; 安徽中科宇江科技有限公司)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

SN-ASMO理论针对卫星导航的根本问题,构建了统一观测形成等多要素且可物理验证的数学框架,解决了抗干扰、高动态场景下RTK整数结构保留等关键问题。

AI 中文摘要

压制干扰、接收平台的高动态运动以及载波相位RTK,使卫星导航面临一个根本问题:当接收机通过其阵列几何、信道状态、权重及信号处理规则主动参与观测形成时,所得载波观测如何在保留连续相位和整数模糊度结构的同时,继续表征相同的客观传播过程?观测者的重新配置不会改变物理世界,但会改变其在观测世界中的复杂表征。若未严格区分传播诱导和观测者诱导的变化,抗干扰、高动态及精确载波相位定位将在观测形成层面发生结构耦合。最终,针对静态干扰、动态旋转、分支间时间失配、近零响应、射频重放及RTK整数风险验证,提供了可复现、可证伪的协议。SN-ASMO的特定新颖性在于,在一个数学封闭且可物理验证的框架中,统一了观测形成、参考协方差、精确冗余商、同源传输、本征统计信息及RTK整数结构的保留。

英文摘要

Suppressive interference, high-dynamic motion of the receiving platform, and carrier-phase RTK lead satellite navigation to one fundamental question: when the receiver actively participates in observation formation through its array geometry, channel states, weights, and signal-processing rules, how can the resulting carrier observation continue to represent the same objective propagation process while preserving continuous phase and the integer-ambiguity structure? The physical world is not changed by a reconfiguration of the observer, but its complex representation in the observation world is. Without a strict separation between propagation-induced and observer-induced variations, anti-jamming, high dynamics, and precise carrier-phase positioning become structurally coupled at the observation-formation level. Finally, reproducible and falsifiable protocols are provided for static interference, dynamic rotation, inter-branch timing mismatch, near-null response, RF replay, and RTK integer-risk validation. The scoped novelty of SN-ASMO is the unification of observation formation, reference covariance, exact nuisance quotients, same-source transport, intrinsic statistical information, and preservation of the RTK integer structure in one mathematically closed and physically testable framework.

论文原文

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