Minimum mainlobe difference beamforming of FIR based on second-order cone programming
A second-order cone programming-based FIR minimum main lobe difference beamforming method is pro-posed to address the low accuracy,large main lobe error,and high sidelobe peak issues of traditional broadband digital beam-formers.First,a beamformer based on a FIR filter structure is designed to replace the fractional delay in traditional methods with an integer delay combined with FIR filtering to improve accuracy.Then,by introducing filter coefficients,the sidelobe level is linked with the stopband attenuation of the FIR filter.The two convex optimization problems in traditional methods are combined into one global optimization problem to ensure that the obtained solution is the overall optimal solution.Fi-nally,a new definition of main lobe response error is proposed,and a Minimax main lobe difference FIR beamformer design criterion based on sidelobe peak constraints is presented.Simulation results show that the proposed method outperforms tra-ditional broadband beamforming methods in the time,space,and frequency domains
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