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Robust adaptive beam forming method based on variable uncertainty set constraint

A robust self-adaptive, deterministic set technology, applied to radio wave measurement systems, instruments, etc., can solve the problem of lack of practicability of WCPO method

Active Publication Date: 2021-07-30
INST OF ACOUSTICS CHINESE ACAD OF SCI
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

These two shortcomings lead to the lack of practicality of the WCPO method

Method used

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  • Robust adaptive beam forming method based on variable uncertainty set constraint
  • Robust adaptive beam forming method based on variable uncertainty set constraint
  • Robust adaptive beam forming method based on variable uncertainty set constraint

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Experimental program
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Effect test

Embodiment 1

[0131] Such as figure 1 As shown, Embodiment 1 of the present invention provides a robust adaptive beamforming method based on variable uncertain set constraints.

[0132] (1) Target signal power correction

[0133] Observe the optimization function (6) formula under the worst-case performance optimal criterion, and estimate the target power of the molecule Have:

[0134]

[0135] where σ 2 is the real target signal power. Combining formula (7) and formula (8) can get:

[0136]

[0137] Substituting the above formula into formula (19), the estimated value of the target power related to the optimal weight vector w can be obtained and the true value σ 2 The relationship between:

[0138]

[0139] The conditions for taking the equality of the inequality on the right side of the above formula are k∈Z, in general, the estimated value of the target power output by the WCPO method is greater than the real value, which is the reason for the systematic overestimatio...

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Abstract

The invention relates to the technical field of underwater acoustic signal processing, in particular to a robust adaptive beam forming method based on variable uncertainty set constraint. The method comprises the following steps: calculating a sample covariance matrix of a received array signal, performing eigenvalue decomposition, and calculating a projection vector corresponding to each scanning angle; obtaining k target orientations by using the projection vectors through an LSMI method, and estimating target power and noise power through a CBF method; calculating covariance matrix error norm upper bound estimation according to the K target orientations, the target power and the noise power; calculating guide vector error norm upper bound estimation of the current scanning angle; solving a WCPO problem under the constraint of an uncertain set of parameter covariance matrix error norm upper bound estimation and guide vector error norm upper bound estimation, and obtaining the estimation of an optimal weighted vector and a space power spectrum; correcting the estimation of the spatial power spectrum according to the optimal weighted vector; and completing the solving work of all scanning angles.

Description

technical field [0001] The invention relates to the technical field of underwater acoustic signal processing, in particular to a robust adaptive beamforming method based on variable uncertain set constraints. Background technique [0002] Array signal beamforming methods are widely used in sonar, radar, wireless communication and medical imaging and other fields. Conventional beamforming (CBF) method has stable performance and simple calculation, but the target angle resolution is insufficient and the interference suppression ability is poor. Adaptive beamforming (MVDR or Capon) method has excellent target angle resolution ability and interference suppression ability under ideal conditions. However, in actual systems, it is usually difficult to meet the ideal conditions. Factors such as observation direction error, formation calibration error, channel amplitude and phase error will cause steering vector mismatch, and limited received snapshot data will lead to covariance ma...

Claims

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Application Information

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IPC IPC(8): G01S7/539
CPCG01S7/539
Inventor 王少强王海斌尹京升
Owner INST OF ACOUSTICS CHINESE ACAD OF SCI
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