Super-directivity beam-forming method based on circular array real number weighting

Abstract

The invention relates to a super-directivity beam-forming method based on circular array real number weighting. The method comprises the steps that firstly, the symmetrical property of a uniform circular array with an even number of array elements is utilized, and a beam pattern, a directivity factor and an error sensitivity function are all transformed to the calculation form of real number fields, wherein the dimensionality of a weight vector is reduced; secondly, super-directivity beam-forming is constructed to form a multi-constrained optimization problem, and the directivity factor is maximum under the condition that sidelobe level and robustness constraints are achieved; finally, a real number weight vector is solved by utilizing the mature second-order cone programming method. According to the super-directivity beam-forming method, the following properties are utilized to overcome the defect of a large calculated amount. By means of the properties, the beam pattern of the uniform circular array with the even number of array elements, the directivity factor and the error sensitivity function can all be calculated in the real number field, and the calculated dimensionality is reduced; the computational efficiency of second-order cone programming in the real number field is higher than the computational efficiency of second-order cone programming in a complex number field.

Description

Technical field [0001] The invention belongs to a beam forming method, and relates to a real number weighted super-directional beam forming method of a circular ring array, which is suitable for the detection of a low signal-to-noise ratio target of the circular ring array and the high-resolution estimation of the target orientation, and belongs to hydroacoustics , Array signal processing and sonar technology. Background technique [0002] Circular arrays are widely used in the fields of sonar, radar, communications, and voice engineering. The beam forming methods of the array are also emerging one after another. Among them, the super-directional beam forming method has received great attention. The super-directivity method is relative to the conventional delay and summation method. The latter performs delay and summation processing on each channel signal to extract the required information. Although the operation is simple and the performance is robust, it can provide array gain...

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Problems solved by technology

Document 2 "Theoretical and practical solutions for high-order superdirectivity of circular sensor arrays, IEEE Trans.Ind.Electron., 2013, Vol.60(1), p.203-209" discloses the eigenbeam decomposition and synthesis method, the The method gives the exact closed-form solution of the high-order super-directivity of the circular ring array, and obtains a good super-directivity result through a rank-reduction processing technique. The calculation is simple, but the problem of excessively high sidelobes of the super-directivity beam is not considered

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