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TDOA positioning method based on fourth and fifth characteristic vectors of MDS subspace

A technology of feature vector and positioning method, applied in the field of information, can solve problems such as obtaining, and achieve the effect of high accuracy and simple algorithm

Inactive Publication Date: 2015-12-16
SHANGHAI JIAO TONG UNIV
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AI Technical Summary

Problems solved by technology

However, this technology needs to know the distance from the target to the reference station, and it is difficult to obtain the specific coordinates of the target according to the above equation when the known amount is small

Method used

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  • TDOA positioning method based on fourth and fifth characteristic vectors of MDS subspace
  • TDOA positioning method based on fourth and fifth characteristic vectors of MDS subspace
  • TDOA positioning method based on fourth and fifth characteristic vectors of MDS subspace

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Embodiment 1

[0015] Such as figure 1 As shown, this embodiment includes the following steps:

[0016] Step 1. Collect the position coordinate u of the sensors distributed on the plane m =[x m ,y m ] T (m=1,...,M), designate the first sensor as the reference sensor, and measure the signal source u 0 Arrival time difference between each sensor and the reference sensor And calculate the corresponding arrival distance difference according to the signal propagation speed c

[0017] The number of sensors M=8.

[0018] Let the position coordinates of the 8 sensors be: u 1 = 11.8998 50.5957 , u 2 = 49.8364 69.9077 , u 3 ...

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Abstract

The invention relates to a TDOA positioning method based on the fourth and fifth characteristic vectors of an MDS subspace. Position coordinates of sensors distributed in a plane are collected to measure the time difference between that a signal source arrives at the sensors and that the signal source arrives at a reference sensor, and corresponding distance difference of arrival is calculated; a scalar product matrix is generated on the basis of the distance difference of arrival, the subspace is analyzed, obtained characteristic values are arranged in the descending order of the absolute values, and the fourth and fifth characteristic vectors are extracted and superposed linearly; and the vectors after linear superposition serve as a combined coefficient, and column vectors in a position coordinate matrix are combined linearly to obtain an estimated value of the position coordinate of the signal source. Through a multidimensional scaling method, the position coordinate of the signal source of low error is estimated according to the measured TDOA.

Description

technical field [0001] The present invention relates to a technique in the field of information technology, in particular to a Time Difference Of Arrival (TDOA) positioning method based on the fourth and fifth eigenvectors of the MDS subspace. Background technique [0002] In radar, sonar, mobile communication, multimedia, wireless sensor network and other application fields, an important problem is often faced, that is, to locate a signal source based on TDOA information. The so-called time difference of arrival means that the signal is sent by the signal source, and the signal is received by the sensors distributed in space, whose position is known and time-synchronized with each other, and the time when the signal arrives at each sensor is measured, and the signal source is calculated from this. The difference between the time when the signal arrives at each sensor and the time when it arrives at the reference sensor is the time difference of arrival. [0003] In "Multid...

Claims

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Application Information

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IPC IPC(8): G01S5/00
CPCG01S5/00
Inventor 蒋武扬徐昌庆裴凌郁文贤
Owner SHANGHAI JIAO TONG UNIV
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