An Array Position Refinement Algorithm for Pencil Beam Pattern Synthesis With High-Order Taylor Expansion

Abstract

In this letter, the array position refinement for low peak sidelobe level (PSLL) generation utilizing uniform element excitation is investigated. The array beam pattern is expressed as a polynomial function with respect to (w.r.t.) the array position variation, i.e., $\Delta {\bf x}$ , via the high-order Taylor expansion. An iterative algorithm is proposed to solve the optimization problem w.r.t. $\Delta {\bf x}$ to achieve the low PSLL. The algorithm, first, converts the original nonconvex problem into a convex one; thus, the problem can be solved efficiently by readily available tools. The array position is, thereafter, updated iteratively by adjusting $\Delta {\bf x}$ with a convex technique. Numerical simulations with both linear and planar array antennas are carried out to validate the effectiveness of the proposed algorithm. Compared with the existing algorithms, the proposed algorithm can further suppress the PSLLs with 0.9 and 0.4/1.2 dB for linear and planar array antennas, respectively.