Fast Convergent FDA Transmit Beamforming Based on Interior Point Algorithm

This article proposes a dot-shaped transmit beam-forming algorithm by using interior point (IP) algorithm to design optimized frequency offset (FO). We compared the beam focusing performance of this scheme with linear FO, logarithmic (Log) FO, and genetic algorithm (GA) FO schemes, and provided the convergence process of the algorithm. The simulation results show that the algorithm converges quickly while ensuring good beam focusing effect. We extended it to two-dimensional planar array and further reduced the computational complexity of the algorithm by applying symmetric frequency offset on the array. The effectiveness of the algorithm was verified through numerical simulation