Beam forming method and system based on certainty and uncertainty set constraint

Abstract

The invention discloses a beam forming method and system based certainty and uncertainty set constraint, and the method comprises the steps: obtaining signals received by array elements in an antenna array, carrying out the weighted summation of the signals received by the array elements, and obtaining wave forming output; carrying out array covariance matrix estimation according to a plurality of samples in a beam forming process, carrying out modeling according to a target function of an estimated array covariance matrix, and obtaining an uncertainty set constraint condition after modeling; converting uncertainty set constraint into certainty set constraint according to a Bern-type inequality; converting a target function into a semi-definite programming function according to a semi-definite relaxation algorithm; solving a semi-definite programming function according to a convex optimization algorithm, and outputting solved beam forming. The method enables the probability constraint condition of a random process into a certainty constraint condition, converts a semi-definite programming problem into the optimization of the target function, irons out the severe defect that an array covariance matrix has an error in a conventional method, and improves the robustness of the system.

Description

technical field [0001] The invention relates to the field of beamforming in array signal processing, in particular to a beamforming method and system based on certain and uncertain set constraints. Background technique [0002] The array signal processing system is widely used in sonar, spaceflight and radar and other fields, and it includes two core technologies: parameter estimation and beamforming. Adaptive beamforming technology still faces many practical problems from theoretical knowledge to engineering application. Among them, the robust performance of the adaptive beamforming algorithm in the case of errors directly affects the actual application effect. At the same time, the uncertainties in the actual environment also have a serious impact on the adaptive beamforming technology, such as sensor position disturbance, local scattering, mutual coupling, and steering vector mismatch. Aiming at the problem of robust adaptive beamforming under uncertain set constraints,...

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Problems solved by technology

[0004] In view of the deficiencies in the prior art, the purpose of the present invention is to provide a beamforming method and system based on definite and uncertain set constraints, aiming at solving the problem that the beamforming method in the prior art does not consider the influence of the sample array covariance matrix error, so Its performance is limited, the system robustness is poor, and the defect of reducing the measurement accuracy of the array signal processing system

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