Shaped power pattern synthesis with minimization of dynamic range ratio

In this chapter, we address the issue of array pattern synthesis with a focus on minimizing the dynamic range ratio (DRR). Unlike common approaches that simply limit DRR to a specific threshold, our goal is to reduce the DRR of excitation vectors while creating the desired array pattern. This unique approach results in a new optimization problem characterized by a fractional objective function and nonconvex constraints. To tackle this challenge, we propose a novel algorithm that effectively solves the optimization problem. By introducing auxiliary variables, we formulate an equivalent optimization problem that converts the fractional objective function into a linear one. This allows us to decompose the original problem into subproblems that can be efficiently solved in each iteration. Through this approach, we simplify the subproblems into single-variable quadratic unconstrained optimization or least-squares problems, enabling us to achieve our goal of minimizing DRR in array pattern synthesis.