Moving radiation source TDOA and FDOA positioning method based on weighted multidimensional scale and Lagrange multiplier technology

A multi-dimensional scaling and positioning method technology, applied in the field of radiation source positioning, can solve problems such as poor positioning accuracy

Active Publication Date: 2020-08-18
PLA STRATEGIC SUPPORT FORCE INFORMATION ENG UNIV PLA SSF IEU
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Problems solved by technology

[0004] Aiming at the problem of poor positioning accuracy existing in the existing TDOA / FDOA positioning method based on weighted multi-dimensional scaling, the present invention provides a moving radiation source TDOA and FDOA positioning based on weighted multi-dimensional scaling and Lagrangian multiplier technology method, which can make full use of the two quadratic equation constraints that the augmented unknown vector obeys, thereby further improving the positioning accuracy of the moving radiation source

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  • Moving radiation source TDOA and FDOA positioning method based on weighted multidimensional scale and Lagrange multiplier technology
  • Moving radiation source TDOA and FDOA positioning method based on weighted multidimensional scale and Lagrange multiplier technology
  • Moving radiation source TDOA and FDOA positioning method based on weighted multidimensional scale and Lagrange multiplier technology

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[0103] The present invention will be further explained below in conjunction with accompanying drawing and specific embodiment:

[0104] Such as figure 1 As shown, a moving radiation source TDOA and FDOA positioning method based on weighted multidimensional scaling and Lagrangian multiplier technology, including:

[0105] Step 1: Place M motion sensors in the space, use them to simultaneously obtain the TDOA / FDOA observations of the motion radiation source signal reaching the mth (2≤m≤M) sensor and the first sensor, and use the TDOA observations Further get the distance difference observation Using FDOA observations to further obtain observations of distance difference change rate

[0106] Step 2: Utilize the sensor position vector {s m} 1≤m≤M and the sensor velocity vector distance difference observation and distance difference change rate observations Construct (M+1)×(M+1) order distance matrix D and distance change rate matrix

[0107] Step 3: First use the d...

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Abstract

The invention discloses a moving radiation source TDOA and FDOA positioning method based on a weighted multidimensional scale and the Lagrange multiplier technology. The method comprises the followingsteps: simultaneously obtaining a TDOA observed quantity and an FDOA observed quantity of a motion radiation source signal by utilizing a plurality of motion sensors, and constructing two scalar product matrixes by utilizing a distance difference observed quantity and a distance difference change rate observed quantity so as to form a multi-dimensional scale pseudo-linear equation; quantitativelyanalyzing the influence of TDOA/FDOA observation errors on the pseudo-linear equation so as to determine an optimal weighting matrix; constructing two quadratic equation constraints by utilizing algebraic characteristics of an augmented unknown vector, and constructing a biquadratic equation constraint weighted least square optimization model in combination with a pseudo-linear equation; and finally, performing numerical optimization on the model by utilizing the Lagrange multiplier technology, obtaining an optimal solution of a Lagrange multiplier by utilizing Newton iteration, and further obtaining estimated values of a radiation source position vector and a radiation source speed vector. According to the invention, the positioning precision of the moving radiation source can be furtherimproved.

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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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G01S5/06
CPCG01S5/06
Inventor 王鼎郑娜娥尹洁昕陈松王盛赵华赵排航唐涛任修坤吕品品
Owner PLA STRATEGIC SUPPORT FORCE INFORMATION ENG UNIV PLA SSF IEU
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