Motion source tdoa and fdoa localization method based on weighted multidimensional scaling and Lagrangian multipliers

Abstract

The invention discloses a moving radiation source TDOA and FDOA positioning method based on weighted multidimensional scale and Lagrangian multiplier technology. Firstly, a plurality of motion sensors are used to simultaneously obtain TDOA observations and FDOA observations of moving radiation source signals, Two scalar product matrices are constructed by using the distance difference observations and the distance difference change rate observations, thus forming a multi-dimensional scale pseudo-linear equation; and then quantitatively analyzing the influence of TDOA / FDOA observation errors on the pseudo-linear equation to determine the optimal weight matrix; then use the algebraic characteristics of the augmented unknown vector to construct two quadratic equality constraints, and combine the pseudo-linear equation to construct a biquadratic equality constraint weighted least squares optimization model; finally use the Lagrangian multiplier technique for this The model is numerically optimized, in which the optimal solution of Lagrangian multipliers is obtained by Newton iteration, and then the estimated values ​​of the position vector and velocity vector of the radiation source are obtained. The invention can further improve the positioning accuracy of the moving radiation source.

Description

technical field

[0001] The invention belongs to the technical field of radiation source positioning, and in particular relates to a moving radiation source TDOA and FDOA positioning method based on weighted multidimensional scaling and Lagrangian multiplier technology. Background technique

[0002] As we all know, radiation source positioning technology plays an important role in many industrial and electronic information fields such as target monitoring, navigation telemetry, seismic survey, radio astronomy, emergency rescue, and safety management. The basic process of radiation source positioning is to extract the parameters related to its position and velocity (also called positioning observations) from the electromagnetic signal, and then use these parameters to solve the radiation source position vector and velocity vector. The observations used for radiation source positioning involve multi-domain parameters such as space, time, frequency, and energy, and the positioni...

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