A Method of Target Azimuth and Direction Finding Based on Regularized Least Squares Subspace Intersection

A subspace intersection and least squares technology, applied in direction determination direction, measurement device, radio wave measurement system, etc., to achieve high azimuth resolution and accuracy, and stable numerical calculation.

Inactive Publication Date: 2015-11-18
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 squares subspace intersection direction finding method, so that the direction finding accuracy and numerical calculation in the shallow sea environment are stable greatly improved

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  • A Method of Target Azimuth and Direction Finding Based on Regularized Least Squares Subspace Intersection
  • A Method of Target Azimuth and Direction Finding Based on Regularized Least Squares Subspace Intersection
  • A Method of Target Azimuth and Direction Finding Based on Regularized Least Squares Subspace Intersection

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

[0053] The basic concept of the present invention is: in the actual application system, all least squares problems are faced with ill-conditioned problems, and the least squares SI algorithm is no exception. Usually, the wave numbers of normal waves with different numbers differ very little. Under the condition of finite array length, it is difficult to satisfy the condition that each scan vector is linearly independent. The condition number of the matrix is ​​very large, that is, the equation of the least squares problem is Ill, the numerical stability is poor.

[0054] In order to achieve the purpose of precise direction finding, the actual number of array elements is N, the array element spacing d, the target incident direction θ, the array element received signal is expressed as x(t); the snapshot length is L. The present invention proposes a direction-finding met...

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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, in particular 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 sea bottom. In this case, the traditional target orientation estimation algorithm based on the plane wave model is no longer applicable, and the normal wave model can be more accurately Describe the sound field. According to the normal wave theory, 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. The phase velocities of the normal waves are different, especially For low-frequency signals, the difference in phase velocity is particularly obvious. This difference is refle...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G01S7/52
CPCG01S3/8036
Inventor 巩玉振
Owner INST OF ACOUSTICS CHINESE ACAD OF SCI
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