Optimum adaptive beamformer design with controlled quiescent pattern by antenna selection

In this paper, we consider the design of optimum sparse adaptive beamformer with controlled quiescent beampattern for multiple sources in interference-free environment. The two measures of the maximum output signal-to-noise ratio (SNR) and approximately equal gains towards all sources incident on the array are applied for optimality. We combine both adaptive and deterministic approaches to sparse array design to offer the most general design metric for beamformers. We propose an iterative linear fractional programming method to solve the non-convex antenna selection problem associated with the proposed metric. Simulation examples confirm that the array configuration plays a vital role in determining the beamforming performance in interference-free scenarios.