Super-directivity beam forming method based on modal decomposition and synthesis

A super-directional beam and mode decomposition technology, applied in special data processing applications, instruments, electrical digital data processing, etc., can solve problems such as limited and inaccurate range of use

Active Publication Date: 2014-07-02
NORTHWESTERN POLYTECHNICAL UNIV
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Problems solved by technology

[0012] In order to avoid the deficiencies of the prior art, the present invention proposes a super-directional beamforming method based on...

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  • Super-directivity beam forming method based on modal decomposition and synthesis
  • Super-directivity beam forming method based on modal decomposition and synthesis
  • Super-directivity beam forming method based on modal decomposition and synthesis

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Embodiment Construction

[0047] The present invention will now be further described in conjunction with the embodiments and drawings:

[0048] The present invention is a super-directivity beamforming method based on modal decomposition and synthesis. Starting from the optimal solution of beamforming theory, a unified super-directivity mathematical model is given by Gram-Schmidt orthogonal transformation, and the optimal The beam and the maximum directivity factor are respectively decomposed into different modal beams and their directivity factors. The process is divided into the following steps:

[0049] (1) The optimal array signal processing is divided into two processes: pre-whitening and matching, and the optimal weight vector Decomposed into the following matrix form:

[0050] W opt =C T D -2 C * ·A * (φ 0 , Θ 4 ). (1)

[0051] The above formula holds for any form of array. Where C is the orthogonal transformation matrix to be solved, which plays a role in pre-whitening noise; matrix Is used to no...

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Abstract

The invention relates to an super-directivity beam forming method based on modal decomposition and synthesis. The super-directivity beam forming method comprises the steps of firstly, decomposing the optimal solution on the basis of the beam forming theory, representing the optimal solution as a matrix form, then utilizing Gram-Schmidt orthogonal transformation for giving a solution formula of a related matrix, and then utilizing the matrix form of the optimal solution for decomposing the optimal beam into various-order modal beams with different directivities and robustness, wherein the factor with the maximum directivity is obtained by overlaying directivity factors of the various-order modal beams. Finally, a uniformity rectilinear figure array is used as an example, and the final robust super-directivity beam is obtained by selecting the proper modal beam to carry out synthesis. According to the super-directivity beam forming method based on modal decomposition and synthesis, the detects that in the prior art, accuracy is not enough, and the application range is limited are overcome according to the characteristics that the optimal solution of the beam forming theory is not limited by the matrix form, and the accurate recursion formula is used for the Gram-Schmidt orthogonal transformation.

Description

Technical field [0001] The present invention belongs to a beam forming method, in particular to a super directional beam forming method based on modal decomposition and synthesis, which is suitable for the detection of low signal-to-noise ratio targets in any form of array and the high-resolution estimation of target azimuth. Acoustics, array signal processing and sonar technology and other fields. Background technique [0002] Super-directivity can significantly improve the angular resolution, azimuth estimation accuracy, noise suppression and broadband constant beamwidth performance of the sensor array, and can greatly reduce the array size and shorten the near-field area, so it has received a lot of attention. However, due to its sensitivity to errors, theoretically excellent performance is difficult to obtain in practice. Although the sensitivity of super-directivity to errors is inevitable, more in-depth theoretical research is still necessary to reduce the influence of err...

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Application Information

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IPC IPC(8): G06F19/00
Inventor 杨益新汪勇马远良何正耀
Owner NORTHWESTERN POLYTECHNICAL UNIV
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