Nulling Level Minimization via Array Antenna With Desired Gain and Sidelobe Level

This paper deals with the problem of minimizing the nulling level (NL) given the desired minimum power gain and the desired sidelobe level (SLL) via a wide-beam array antenna. Different from the traditional approaches which solve the shaped beam pattern synthesis (SBPS) problem, the paper tries to further suppress the NL by solving the power gain pattern synthesis (PGPS) problem. We firstly sets up the mathematical model of the discussed problem, and then its non-convex structure is transformed into convex one via approximation scheme. As a result, the formulated problem can be solved effectively with available solvers. Numerical examples are provided to validate the performance of the proposed algorithm by compared with the existing SBPS-based algorithm, which validate the the proposed algorithm is able to further suppress the NL more than 10 dB.