Comparison of directional and derivative constraints for beamformers subject to multiple linear constraints
Abstract
Optimum beamforming with multiple linear constraints is now a well established technique in array processing. In the simplest case, a single constraint is imposed, namely unity signal power response in the beam steer direction. The weight vectors are then calculated by minimizing the beamformer output power subject to this constraint. These beamformers are usually designed under the assumptions of planewave signals and an ideal propagation medium. Under actual operating conditions, the ideal assumptions do not hold, and signal suppression can arise. Approaches for overcoming this problem are discussed. Attention is given to directional constraints and derivative constraints. It is found that the signal suppression performance of directional constraint systems approaches that of derivative constraint systems as the angular separation between the constraints is decreased.
 Publication:

IEE Proceedings F: Communications Radar and Signal Processing
 Pub Date:
 February 1983
 Bibcode:
 1983IPCRS.130...41S
 Keywords:

 Antenna Arrays;
 Beams (Radiation);
 Constraints;
 Signal Processing;
 Signal To Noise Ratios;
 Signal Fading;
 Vectors (Mathematics);
 Weighting Functions;
 Communications and Radar