Pattern synthesis of dual‐polarised conformal array based on adaptive iterative convex optimisation

Abstract

This study focuses on the shaped beam pattern synthesis based on the convex optimisation method for conformal arrays. First, the original pattern synthesis problem is transformed into a constrained optimisation problem for the power pattern. Then, it is rewritten as a convex optimisation problem through a linear approximation of weight vector. In order to enhance the resiliency of the algorithm, a robust linear approximate method is proposed with an adaptive upper bound of step size. The loss between the obtained and desired pattern is defined to dynamically adjust the upper bound. Benefiting from the flexible constraint, the proposed method can achieve the arbitrary beam pattern with fast convergence and robustness. Finally, numerous typical examples are provided to demonstrate the validity of the proposed method.

Method of phase compensation and pattern transformation for array antennas with arbitrarily oriented circularly polarised elements

“…Few articles give detailed methods for the polarised phase compensation problem of the conformal array. Most articles on conformal array synthesis methods and parameter estimation methods [10][11][12][13][14][15][16][17][18][19][20][21] have not considered the phase compensation of the elements.…”