Research On Array Optimization And Beam Optimization Methods Of Aperiodic Array

Optimization of the array antenna pattern has always been an important problem in the field of array antenna research.Compared with periodic arrays,aperiodic arrays have significant advantages in practical such as fewer array elements,lower costs,and higher degree of freedom.From the formula of the array antenna pattern,it is easily to find out that the array pattern mainly depends on the position of the array elements and the excitation of the array elements.Therefore,the ways of optimizing the array pattern can be divided into two aspects: one is to optimize the position of the array elements,which is called array optimization,and the other is to optimize the pattern by adjusting the excitation value of each array element.It is called beam optimization.The main content of this article is to research on the array optimization and beam optimization methods of aperiodic arrays.The main content and innovative technologies in this article are as follows:1.Introduced the basic formula of arbitrary array antenna pattern and two classical aperiodic array optimization and beam optimization methods,and carried out simple simulation experiments to verify these methods.2.Aiming at the optimization problem of the sparse planar array,the genetic algorithm is used to establish the genetic algorithm array optimization model and next verify it by simulation experiments.Next,the problem is applied to the situation of the planar molecular array,and the method of combining the classical genetic algorithm and the circumscribed circle method of sub-array judgment is adopted.Furthermore,to solve the problems that still exist in the optimization of the planar molecular array,this paper improves on the genetic algorithm and the sub-array judgment respectively,and proposes a new planar molecular array layout method based on the improved genetic algorithm.Which further improves the optimization effect of the algorithm.3.Traditional array optimization and beam optimization are often separated: the array position is optimized first,and then the beam optimization is done based on the optimal array obtained from the array optimization.However,this strategy divides the pattern optimization into two parts,sacrificing part of the optimization effect,and it is difficult to meet the requirements for some situations,so this article introduces the matrix pencil method and the compressed sensing method to optimize the position of the array element and the array element excitation at the same time.Among these research,for the antenna array sparse reconstruction process of the compressed sensing method,this paper proposes a new solution method based on the alternating direction method of multipliers.Compared with other methods,it can be applied to the comprehensive problem of a variety of complex patterns and can be Actually need to adjust the minimum number of array elements,which has considerable flexibility.4.In practical applications,there is a problem that the beam direction cannot be adjusted in the single pattern synthesis optimization problem.If the optimization is re-optimized,the position of the array element needs to be changed.The extended matrix beam method and the multiple measurement vectors-based joint optimization method of multi-directional patterns are introduced.Under the distribution of group antennas,multiple uncorrelated patterns are jointly reconstructed.On the basis of the single-directional graph alternating direction method of multipliers,a comprehensive optimization method for multi-directional graphs based on the alternating direction method of multipliers is proposed,and the feasibility of these methods is verified through simulation experiments.