Auto-Specifying Mainlobe Width for Beampattern Synthesis: An Iterative Reweighted Approach

An iterative reweighted approach based on convex optimization for the array pattern synthesis is presented. The algorithm consists in solving the problem of auto-specifying the mainlobe width. In the optimization procedure, a slack variable is introduced in the region near the mainlobe region of a pattern. The value of the slack variable will change as well as the width of the region will be narrower based on iterations. The result is that the width of the region is equal to the width of mainlobe region. Representative simulation is provided to demonstrate the effectiveness of the proposed method in beampattern synthesis.