A Design Method of Sparse Concentric Circular Array Based on Bessel Function

Abstract

The invention provides a Bessel function based sparse concentric ring array design method. The method includes: taking a ring radius of a sparse concentric ring array as an optimized parameter, and generating a plurality of weed individuals randomly to form an initial group; as for every weed individual, determining a minimum number of array elements on a ring according to the ring radius so as to determine peak sidelobe level of the sparse concentric ring array as a weed individual adaptation value; generating a seed for every weed individual; combining filial individuals formed by optimized variable ring radiuses with parent individuals together to form new groups, sequencing all the individuals in the group according to an increasing sequence of the adaption values, only keeping a specific number of individuals as an initial group for next evolution and weeding out the rest individuals; repeating the process until stopping criterion for iteration is satisfied, and outputting an optimal individual in the ultimate group.

Description

Technical field [0001] The invention relates to the fields of radar, radio astronomy and satellite communication, and in particular to a design method of a sparse concentric circular ring array based on Bessel functions. Background technique [0002] Concentric circular arrays are widely used in radar, radio astronomy, and satellite communications due to their azimuth-free coverage and 360° azimuth scanning capabilities (Reference [1]: OMBucci, S. Perna, and D. Pinchera ,"Synthesis of Isophoric Sparse Arrays Allowing Zoomable Beams and ArbitraryCoverage in Satellite Communications,"IEEE Trans.Antennas Propagat,vol.63,pp.1445-1457,2015) and other fields. The uniform concentric ring array means that without excitation weighting, the array elements on the concentric rings are evenly distributed, and the concentric rings are also evenly distributed along the radial direction. Although the uniform concentric ring array is simple in structure, its pattern has high directivity coeffici...

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Problems solved by technology

[0004] At present, there are relatively few studies on sparsely distributed concentric circular arrays, and in order to ensure the generation of circular symmetric patterns, the existing research methods are mainly divided into two categories: one is the uniform interval d=0.5λ between adjacent elements on the confinement ring , then the radius is r m The number of elements N on the circle of m =floor(2πr m / d) (the number of array elements can only be an integer, and the function floor(x) means rounding down), so only the radius of the ring is optimized to synthesize the sparse concentric ring array with a circular symmetric pattern (reference [3 ]: R.L.Haupt, "Optimized Element Spacing for Low Sidelobe Concentric Ring Arrays," IEEE Trans. Antennas Propagat., vol.56, no.1, pp.266-268, Jan.2008, reference [6]: Y. Jiang , and S. Zhang, "An Innovative Strategy for Synthesis of Uniformly Weighted Circular Aperture Antenna Array Based on the Weighting Density Method" IEEE, Antennas Wireless Propa. Lett., vol.12, pp.725-728, 2013), this type of method The main disadvantage is that the interval constraint of adjacent elements is 0.5λ, which leads to more array elements required by the array; the second is to use the correlation algorithm to calculate the radius of the concentric ring and the excitation amplitude of the equivalent continuous current ring, and then use the uniform The spaced equal-amplitude array elements discretize the continuous current loop, so that the number of array elements uniformly arranged on each ring can be determined (reference [5]: O.M.Bucci and D.Pinchera, "A Generalized Hybrid Approach for the Synthesis of UniformAmplitude Pencil Beam Ring-Arrays,"IEEE Trans.Antennas Propagat.,vol.60,pp.174-183,2012, reference [7]: M.Carlin,G.Oliveri,and A.Massa,"Hybrid BCS-Deterministic Approach for Sparse Concentric Ring Isophoric Arrays,"IEEE Trans.Antennas Propagat.,vol.63,no.1,pp.378-383,Jan.2015, reference [8]: X.Zhao,Q.Yang and Y.Zhang , "A Hybrid Method for the Optimal Synthesis of 3-D Patterns of Sparse Conc entric Ring Arrays,"IEEE Trans.Antennas Propagat.,vol.64,no.2,pp.515-524,Feb.2016.)

The above method can realize the simultaneous optimization of the radius of the ring and the number of uniformly distributed array elements on the ring, but the total number of array elements needs to be given in advance, and only by selecting a reasonable total number of array elements can the sparse array that meets the requirements of the pattern be synthesized. Concentric ring array, therefore, these methods need to go through multiple experiments to find a reasonable total number of array elements, and then to determine the distribution of array elements on the corresponding ring

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