Method for eliminating dead zone through adopting generalized inverse matrix

A generalized inverse matrix and blind zone technology, which is applied in the field of magnetic field measurement and positioning calculation, can solve the problems of being unable to detect magnetic targets, achieve the effect of eliminating infinite positioning errors, maintaining military safety, and improving practicability

Active Publication Date: 2017-04-26
BEIHANG UNIV
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Problems solved by technology

[0004] In view of the above problems, the present invention proposes a method for eliminating blind areas by using a generalized inverse matrix, which solves the problem that the magnetic target cannot be detected when the magnetic moment vector of the magnetic target is perpendicular to the position vector of the magnetic target during the magnetic target positioning process using the full tensor magnetic field gradient. to a magnetic target problem

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  • Method for eliminating dead zone through adopting generalized inverse matrix
  • Method for eliminating dead zone through adopting generalized inverse matrix
  • Method for eliminating dead zone through adopting generalized inverse matrix

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[0014] When analyzing the influence of the direction of the magnetic moment on the positioning error, the results obtained through simulation experiments are as follows: figure 1 As shown, the angle in the figure refers to the angle between the magnetic moment m and the position r of the magnetic dipole. When the angle between the magnetic moment m and r is close to 90°, the positioning error is very large, and this area is called a blind area. The blind zone is corresponding to the theory that when the generalized inverse matrix is ​​irreversible, the positioning error is infinite, which will lead to the inability to detect the measured target, mainly because when the magnetic moment is decomposed along the coordinate system, it is divided into three coordinate axes Hxx, Hyy, one or two of Hzz are extremely small. At this time, the full tensor matrix is ​​not a full-rank matrix, so it is irreversible. When the full tensor matrix is ​​used for positioning operations, the error ...

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Abstract

The invention discloses a method for eliminating a dead zone by using a generalized inverse matrix. The method comprises the following steps: modeling a magnetic target as a magnetic dipole model, solving the generalized inverse matrix of the gradient tensor matrix of the magnetic field of a magnetic dipole when the magnetic moment vector of the magnetic dipole is perpendicular to the position vector of the magnetic dipole, and substituting the generalized inverse matrix into a positioning formula to obtain an accurate positioning result of the magnetic target. The method has the advantages of further improvement of the practicability of the magnetic target detection and positioning by eliminating the detection and positioning dead zone through using the generalized inverse matrix, and realization of the detection of the magnetic target in any direction.

Description

technical field [0001] The invention belongs to the field of magnetic field measurement and positioning calculation, and specifically relates to a method for eliminating blind areas by using a generalized inverse matrix. Background technique [0002] The research on the theory of magnetic target positioning began in 1975 by W.M.Wynn and C.P.Fromm et al. in the United States who proposed magnetic field tensor data for magnetic dipole positioning algorithms. The method they proposed can locate the magnetic target position parameters (horizontal position, depth, distance) and magnetic moment vector based on the measurement results of five magnetic field gradient tensors and magnetic field vectors at a single measuring point. In 1988, J. Bradley Nelson of the U.S. Naval Defense Foundation proposed the concept of using the measurement results of the total magnetic field strength (the modulus of the magnetic field vector) gradient to calculate the magnetic gradient. The measuremen...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G01C21/20
CPCG01C21/20
Inventor 王三胜张宁
Owner BEIHANG UNIV
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