基于多目标空域规律约束的卫星与短波信号协同直接定位方法

doi:10.12305/j.issn.1001-506X.2026.07.03

Abstract

Abstract:

Aiming at multiple radiation sources position scenarios that can emit shortwave and satellite signals simultaneously, a cooperative direct position determination method for satellite and shortwave signals based on multi-target spatial domain law constraints is proposed. Firstly, a joint shortwave and satellite observation signal positioning model is established based on the shortwave azimuth angle with respect to the geometrical relationship between the geographical coordinates of multiple shortwave observation stations and the radiation sources, and the satellite time difference with respect to the geometrical relationship between the geographical coordinates of multiple satellites, the satellite ground station and the radiation sources. Then, an inequality equation system is established to construct a constrained maximum likelihood estimation optimization model based on the distance constraint law existing between multiple radiation sources to be positioned. Finally, The Lagrange multiplier method is used to convert the constrained optimization model into the unconstrained optimization model, and the gradient descent method is used for numerical solution, which is used to estimate the geographical coordinates of multiple radiation sources. The simulation results show that this positioning method has higher localization accuracy for multiple long-distance targets compared with the shortwave intersection positioning method, the satellite time difference direct positioning method and the linear fusion positioning method, and the advantage is more significant in the condition of low signal-to-noise ratio.

Key words: direct position, shortwave signal, satellite signal, multiple radiation source, distance constraint law

CLC Number:

TN 911.7

Tiange YU, Jiexin YIN, Ding WANG, Fuquan NIE. Cooperative direct position determination method for satellite and shortwave signals based on multi-target spatial domain law constraints[J]. Systems Engineering and Electronics, 2026, 48(7): 2153-2163.

Figures/Tables 9

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参数类型	取值
拉格朗日乘子初始值$ {{\boldsymbol{\lambda}} ^{(0)}} $	2
惩罚系数$ {\boldsymbol{\rho}} $	10
迭代步长因子$ {\boldsymbol{\mu}} $	0.9
2个目标定位场景的距离约束/km	48.41
3个目标定位场景的距离约束/km	66.46

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Cooperative direct position determination method for satellite and shortwave signals based on multi-target spatial domain law constraints

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