Adaptive Nulling Methods with Multiple Constraints for Transmitting DBF

Adaptive nulling methods with multiple constraints for transmitting digital beamforming (DBF) of uniform linear arrays (ULA) are proposed in the following three circs, with main lobe constraint only, with main and side lobes constraints, with main and side lobes constraints and given nulls constraint. And the optimum weight vector of transmitting DBF is derived by Lagrange multiplier approach and calculated with sample matrix inversion algorithm. The computer simulations show that the proposed methods are practicable and effective.