A Super Directional Beamforming Method Based on Mode Decomposition and Synthesis

A super-directional beam, modal decomposition technology, applied in special data processing applications, instruments, electrical digital data processing and other directions, can solve problems such as limited and inaccurate use ranges, and achieve the effect of simplifying operation steps

Active Publication Date: 2016-11-30
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 mode decomposition and synthesis, which solves the deficiencies of the prior art that are not accurate enough and have limited application range

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  • A Super Directional Beamforming Method Based on Mode Decomposition and Synthesis
  • A Super Directional Beamforming Method Based on Mode Decomposition and Synthesis
  • A Super Directional Beamforming Method Based on Mode Decomposition and Synthesis

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Embodiment Construction

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

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

[0050] w opt =C T D -2 C * ·a * (φ 0 ,θ 0 ). (1)

[0051] The above formula holds for any form of array. where C is the orthogonal transformation matrix to be solved, which play...

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Abstract

The present invention relates to a super-directivity beamforming method based on modal decomposition and synthesis. Firstly, the optimal solution of the beamforming theory is decomposed and expressed as a matrix; then the correlation matrix is ​​given by using Gram-Schmidt orthogonal transformation Then, the optimal beam is decomposed into modal beams with different directivity and robustness by using the matrix form of the optimal solution, and the maximum directivity factor is obtained by superimposing the directivity factors of each modal beam. Finally, taking the uniform linear array as an example, the final robust super-directional beam is obtained by selecting the appropriate modal beam synthesis. The present invention utilizes the following properties to overcome the deficiencies of inaccuracy and limited application range of the prior art: the optimal solution of the beamforming theory is not limited by the array form, and the Gram-Schmidt orthogonal transformation has an accurate recursive calculation formula.

Description

technical field [0001] The 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 low signal-to-noise ratio target detection of any form of array and high-resolution estimation of target azimuth. Acoustics, array signal processing and sonar technology. Background technique [0002] Super-directivity can significantly improve the angular resolution, azimuth estimation accuracy, noise suppression, and broadband constant beamwidth performance of sensor arrays, and can greatly reduce the array size and the near-field area, so it has received a lot of attention. However, the theoretically excellent performance is difficult to obtain in practice due to its sensitivity to errors. Although the sensitivity of super-directivity to error is inevitable, more in-depth theoretical research is still necessary to reduce the influence of error. First and foremost, an accurate mat...

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Application Information

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Patent Type & Authority Patents(China)
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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