Research Of Algorithm On Array Pattern Synthesis

Pattern synthesis technology is always the core and difficult problem in the research of array antenna.The so-called array synthesis generally refers to the optimization of parameters such as the number of array elements,the position of array elements,the excitation of array elements and the rotation direction of single element by using the interference superposition principle of electromagnetic field,so as to achieve the given radiation performance requirements,such as the realization of phase length interference at the desired angle of interest,and the realization of phase length interference at the interference angle With the development of technology,the application in turn has higher and higher requirements for the pattern synthesis technology.In order to save the hardware cost,it is necessary to study the array minimization based on the pattern requirements,to match the larger and larger information transmission and reception,to study the broadband pattern synthesis,and to improve the efficiency of signal detection,it is necessary to ensure the desired direction of the pattern Array gain.Based on the above problems,this paper makes the following research.In this paper,the sparse array pattern synthesis based on the requirement of pattern index is analyzed,and the sparse performance of pattern synthesis is specified by adding p-norm constraint to the weight.The method of solving non convex p-norm weight constraint and pattern index constraint by alternating projection multiplier(ADMM)is proposed,which can effectively complete pattern synthesis And use fewer elements.Next,in order to deal with the broadband signal technique,the frequency invariant broadband pattern synthesis technology is studied.In order to integrate the frequency invariant characteristics of broadband signal,ensure the sparsity of array elements,and have other constraints on the pattern,combining the method and msm-focus method,a broadband frequency invariant pattern synthesis technology which can flexibly control the beam is proposed.This method can control the sidelobe flexibly while keeping the frequency constant in the main lobe region.Finally,considering the receiving gain of the pattern for the signal and the gain of the array,this paper studies the high-performance pattern synthesis algorithm to ensure the gain of the array,and proposes the high-performance pattern synthesis algorithm based on SDR,quasi convex optimization and LFSDR respectively,the minimum loss of the main lobe gain based on SOCP,and the High performance pattern synthesis algorithm of maximum null depth under permissible given main lobe loss based on SOCP or based on quasi convex optimization and LFSDR technology.