Super-directivity beam-forming method based on circular array robust sidelobe control

Abstract

The invention relates to a super-directivity beam-forming method based on circular array robust sidelobe control. The super-directivity beam-forming method comprises the steps that firstly, an error sensitivity function which measures robustness is expressed as the sum of all orders of eigen-beam error sensitivity functions; secondly, according to the performance of all orders of actual eigen-beams, the maximum exponent number is estimated; finally, the maximum error sensitivity function value is obtained, and a white noise gain constraint value is found. Some symmetrical properties of a circular array with an even number of array elements are utilized, the super-directivity beam-forming method based on robust sidelobe control is expressed as a simple optimization problem, and a final result can be extremely easily figured out in combination with the second-order cone planning algorithm. According to the super-directivity beam-forming method, the defects that a robustness parameter cannot easily be determined, and sidelobe level cannot be effectively controlled are overcome, all orders of eigen-beam error sensitivity functions become larger along with the rise of the exponent number, and the maximum error sensitivity function is approximately equal to the error sensitivity function of the highest-order eigen-beam; besides, the constructed optimization problem can obtain the optimum compromise among the multiple indicators.

Description

technical field [0001] The invention belongs to a beamforming method, and relates to a circular array robust side lobe control super-directivity beamforming method, which is suitable for the low signal-to-noise ratio target detection of the circular array and the high-resolution estimation of the target orientation, and belongs to Hydroacoustics, array signal processing and sonar technology and other fields. Background technique [0002] The conventional beamforming method performs delay and sum processing on the signals of each channel to extract the required information. It is easy to operate and robust in performance, so it has been widely used. However, the array gain and spatial directivity that this method can provide are very limited, especially in lower frequency bands. For the detection of low signal-to-noise ratio targets, such as modern quiet submarines, it is necessary to expand the array aperture to meet the requirements, and such arrays often reach tens of met...

AI Technical Summary

Problems solved by technology

[0005] In order to avoid the deficiencies of the prior art, the present invention proposes a circular array robust sidelobe control super-directional beamforming method to solve the shortcomings of the prior art that the robustness parameters are not easy to determine and the sidelobe levels cannot be effectively controlled

Images