Signal source positioning method for uniform velocity fields

A technology of uniform speed and positioning method, which can be used in complex mathematical operations and other directions, and can solve problems such as inability to solve signal source positioning.

Active Publication Date: 2016-05-04
CENT SOUTH UNIV
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Problems solved by technology

[0006] The present invention provides a signal source location method for a uniform velocity field, the purpose of which is to overcome the

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  • Signal source positioning method for uniform velocity fields
  • Signal source positioning method for uniform velocity fields
  • Signal source positioning method for uniform velocity fields

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Embodiment Construction

[0029] The present invention will be further described below in conjunction with the accompanying drawings and embodiments.

[0030] The source localization problem in the uniform field is mathematically essentially a problem of solving a system of equations, see formula (1). The system of equations is hyperstatically indeterminate when the number of received sensors (stations) is greater than the number of unknowns. The most common way to solve this kind of hyperstatic equations is to make the difference between the right side and the left side of each equation, and then find the minimum value of the sum of squares or the sum of absolute values. In this way, solving the system of equations can be transformed into an optimization problem. The essence of using this idea is to find a point in space that minimizes the difference between the measured arrival time of the station and the calculated arrival time of the model. However, a fatal disadvantage of this method is that whe...

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Abstract

The invention discloses a signal source positioning method for uniform velocity fields. The method comprises the following steps: firstly constructing hyperboloid equations of a signal source position by using a residual equation of the theoretical arrival time and observation arrival time of two sensor pairs; constructing a virtual field in a local coordinate system according to each hyperboloid equation; superposing and averaging all the hyperboloid equations in a space by utilizing a coordinate conversion technology so as to obtain an integral virtual field; and searching the position of the maximum value of the integral virtual field in the space by utilizing a common unconstrained optimization algorithm and taking the position as the signal source positioning result. The objective function of the integral virtual field has continuity and differentiability in the space, so that the positioning method has good resistance to the severe picking errors, and has the characteristics of being high in positioning speed and good in stability.

Description

technical field [0001] The invention relates to a signal source localization method for a uniform velocity field. Background technique [0002] Signal source location technology is a key technical issue in many fields such as earthquake location, microseismic monitoring, and acoustic emission location. It not only plays an important role in natural earthquakes and mine safety monitoring, but also in fields such as slope stability monitoring and nondestructive testing. play a vital role. In the signal source location technology, the location technology using the picked-up signal arrival time data is one of the most widely used technical means because of its simple operation and strong data reliability. [0003] The signal source location technology using arrival data generally adopts forward modeling and iterative technology to determine an objective function, and the position where the minimum value of the objective function is located is the spatial coordinate of the signa...

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Application Information

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IPC IPC(8): G06F17/11
CPCG06F17/11
Inventor 李夕兵王泽伟董陇军尚雪义张楚旋周勇勇刘栋
Owner CENT SOUTH UNIV
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