A new approach to adaptive beamforming with sidelobe control is developed. The proposed beamformer represents a modification of the popular minimum variance distortionless response (MVDR) beamformer. It minimizes the array output power while maintaining the distortionless response in the direction of the desired signal and a sidelobe level that is strictly guaranteed to be lower than some given (prescribed) threshold value. The resulting modified MVDR problem is shown to be convex, and its second-order cone (SOC) formulation is obtained that facilitates a computationally efficient way to implement our beamformer using the interior point method.
Bibliographical noteFunding Information:
Manuscript received July 9, 2002; revised November 22, 2002. This work was supported in parts by the Natural Sciences and Engineering Research Council (NSERC) of Canada; Communications and Information Technology Ontario (CITO); the Premier Research Excellence Award Program of the Ministry of Energy, Science, and Technology (MEST) of Ontario; the Canada Research Chair Program; and the Wolfgang Paul Award Program of the Alexander von Humboldt Foundation.
- Adaptive beamforming
- Second-order cone (SOC) programming
- Sidelobe control