Adaptive beamforming based on the conjugate gradient algorithm

Adaptive filtering using a version of the conjugate gradient (CG) method which does not involve matrix inversions and is hence computationally attractive has been presented in [1]. The method which uses a time average over a suitably chosen window in order to generate the required gradients, has been used in [2] for the design of an adaptive beamformer. The algorithm essentially uses time diversity to obtain improved performance. We consider a modification which essentially combines spatial and time diversity to obtain an algorithm for adaptive beamforming which has potential application in cellular communication systems. Simulation results are presented to demonstrate the performance of the algorithm.