Symmetrical Component Adaptive Beamforming
William E. Klund · The Journal of the Acoustical Society of America · 1968
The theory of symmetrical components, long used in connection with fault-current analyses of multiphase power-distribution systems, has been applied to the problem of adaptive beamforming with the result that the response of a spatially diverse array of sensors can be made virtually free of the effects of the stationary part of the surrounding noise field. The method of deriving a continually adapting set of amplitude and phase weights to be applied to the individual sensor outputs of an array to cause the cancellation of the quasistationary noise-field components is developed. This method yields beamforming weights that are similar or identical to those which are generated by the covariance-matrix-inversion techniques which have been used in adaptive beamforming; but the laborious process of matrix inversion is eliminated and replaced with an efficient, direct-approach process.