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Correction cost function time difference of arrival (TDOA) iteration positioning method based on multidimensional scaling (MDS) model

A technology of cost function and positioning method, which is applied in the field of information analysis and can solve problems such as positioning errors

Inactive Publication Date: 2016-08-17
SHANGHAI JIAO TONG UNIV
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  • Application Information

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Problems solved by technology

However, this technique requires a matrix inversion operation for a specific measurement matrix, but the measurement matrix will become an ill-conditioned matrix at some point (such as when the beacons are arranged in an approximate linear shape). If the inversion of the ill-conditioned matrix is ​​forced, will cause a very large positioning error

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  • Correction cost function time difference of arrival (TDOA) iteration positioning method based on multidimensional scaling (MDS) model
  • Correction cost function time difference of arrival (TDOA) iteration positioning method based on multidimensional scaling (MDS) model
  • Correction cost function time difference of arrival (TDOA) iteration positioning method based on multidimensional scaling (MDS) model

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Embodiment 1

[0023] Such as figure 1 As shown, this embodiment includes the following steps:

[0024] 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 other sensor and the reference sensor And calculate the corresponding arrival distance difference according to the signal propagation speed c Specifically include:

[0025] Step 1.1) Set the number of sensors M=8.

[0026] Let the position coordinates of the 8 sensors be: and

[0027] The signal source u 0 The true position of is assumed to be This location is pending.

[0028] The signal source u described in step 1.2) 0 Arrival and arrival reference sensor u 1 The time difference, that is, the arrival time difference for: and

[0029] Step 1.3) Set the arrival time difference The variance of the measurement error is The sign...

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Abstract

The invention discloses a correction cost function time difference of arrival (TDOA) iteration positioning method based on a multidimensional scaling (MDS) model. Through acquiring position information and time information of sensors in planar distribution, a cost function based on the MDS model is established, an initial estimation value of a signal source position is obtained and is taken as an iteration initial estimation value, weighing correction is performed on the cost function through calculating a noise covariance matrix, a correction cost function is obtained, an optimal solution of the correction cost function is obtained by use of an iteration method, and thus positioning of the signal source position is realized. According to the invention, inverse operation on a measurement matrix is unnecessary, the inversion problem of an ill-conditioned matrix is avoided, and compared to a conventional method, the positioning precision is obviously improved.

Description

technical field [0001] The present invention relates to a technique in the field of information analysis, in particular to a time difference of arrival iterative positioning method based on a modified cost function of an MDS model. Background technique [0002] In the application fields of radar, sonar, mobile communication, multimedia, wireless sensor network, etc., an important problem is often faced, that is, to locate a certain signal source based on TDOA (Time Difference of Arrival) information. The so-called TDOA means that the signal is first sent by the signal source, and then the signal is received by the sensors distributed in the space, and the position is known and the time is synchronized with each other. After measuring the time when the signal arrives at each sensor, the signal source is calculated. 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. [...

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Application Information

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IPC IPC(8): G01S5/06G01S5/22H04W64/00H04W84/18
CPCG01S5/06G01S5/22H04W64/00H04W84/18
Inventor 蒋武扬徐昌庆裴凌郁文贤
Owner SHANGHAI JIAO TONG UNIV