Conformal array two-dimensional beam optimization method based on convex optimization theory

Abstract

The invention discloses a conformal array two-dimensional beam optimization method based on a convex optimization theory, and belongs to the technical field of underwater acoustic array signal processing. The method comprises the following steps of dividing a conformal array scanning space into a main lobe area and a side lobe area; initializing a half main lobe width, and setting a narrowest mainlobe width under an expected sidelobe level through iterative solution; and expressing a beam forming optimization problem as a convex optimization second-order cone constraint form, and solving an optimal solution of a weighted vector by utilizing an interior point method so as to obtain a uniform low-sidelobe two-dimensional beam response diagram. The two-dimensional beam diagram obtained in the invention has a lower sidelobe level, and the sidelobe is a uniform sidelobe so that beam directivity is more excellent. A constraint equation designed on the basis of an MVDR method enables two-dimensional beam forming to obtain a higher array gain compared with a traditional method. In addition, a constraint on a weighting vector norm enables the two-dimensional beam forming to have higher robustness compared with the traditional method.

Description

technical field [0001] The invention belongs to the technical field of underwater acoustic array signal processing, in particular to a conformal array two-dimensional beam optimization method based on convex optimization theory. Background technique [0002] When active sonar is used to detect surface targets such as ships, these surface targets are not at the same height as the sonar platform, so the sonar needs to search both in the horizontal direction and in the elevation direction. Conformal array sonar can realize omni-directional scanning in space. For the purpose of reducing the amount of algorithm calculation and the complexity of sonar equipment, the traditional processing method converts the conformal array into a one-dimensional array for one-dimensional beamforming, that is, the array elements in the pitch direction are connected in series. The processing is equivalent to an array element, and each equivalent array element has a certain directivity in the elevat...

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Problems solved by technology

[0005] The technical problem to be solved by the present invention is to provide a conformal array two-dimensional beam optimization method based on convex optimization theory. control issues while improving beamforming array gain and robustness

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