A regularization least square subspace crossing target direction finding method

A subspace intersection and least squares technique, which is applied in directions such as direction-determining director, measuring device, radio wave measuring system, etc., to achieve the effect of numerical calculation stability, high azimuth resolution and accuracy

Inactive Publication Date: 2014-01-15
INST OF ACOUSTICS CHINESE ACAD OF SCI
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Problems solved by technology

[0007] The purpose of the present invention is to overcome the ill-conditioned problem of the existing least squares SI direction finding method, and propose a regularized least s

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  • A regularization least square subspace crossing target direction finding method
  • A regularization least square subspace crossing target direction finding method
  • A regularization least square subspace crossing target direction finding method

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Embodiment Construction

[0052] The present invention will be further described below in conjunction with the drawings.

[0053] The basic idea of ​​the present invention is that in the actual application system, all least squares problem solving faces ill-conditioned problems, and the least squares SI algorithm is no exception. Normally, the wave numbers of normal waves of different numbers are very small. Under the condition of finite array length, it is difficult to satisfy the condition of linear independence in each scan vector. The condition number of the matrix is ​​very large, that is, the equation of the least squares problem is Ill-conditioned, the stability of numerical calculations is very poor.

[0054] In order to achieve the purpose of accurate direction finding, suppose the actual number of array elements is N, the distance between array elements is d, the target incident direction θ, the received signal of the array elements is expressed as x(t); the snapshot length is L. The present inve...

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Abstract

The invention relates to a regularization least square subspace crossing target direction finding method. According to the method, the Tikhonov regularization method and the least square subspace crossing algorithm are combined to process received signals of a shallow-sea sonar apparatus. On a basis of constructing a least square problem through the utilization of the subspace crossing principle, and then through the regularization method, optimal regularization factors are determined, so that detection and accurate positioning of shallow-sea targets are finally realized. According to the regularization least square subspace crossing target direction finding method of the invention, the Tikhonov regularization method and the least square subspace crossing algorithm are combined for form a new direction finding algorithm. Compared with routine wave beam formation algorithms, the method is better in direction resolution performance and higher in accuracy degree, and the value calculating is stable.

Description

Technical field [0001] The invention belongs to the field of sonar digital signal processing, and particularly relates to a regularized least square subspace intersection direction finding method suitable for shallow sea environments. Background technique [0002] In the shallow sea environment, the sound propagation is significantly affected by the ocean waveguide interface, especially the seabed. In this case, the traditional plane wave model-based target orientation estimation algorithm is no longer applicable, and the normal wave model can be more accurate Describe the sound field. According to the theory of normal waves, the sound source will excite several normal waves in the ocean waveguide. The signals received by each element of the array are the result of the superposition of the normal waves of each number. The phase velocity of each normal wave is different, especially For low-frequency signals, the difference in phase velocity is particularly obvious. This difference...

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Application Information

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IPC IPC(8): G01S7/52
CPCG01S3/8036
Inventor 巩玉振
Owner INST OF ACOUSTICS CHINESE ACAD OF SCI
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