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Constrained adaptive broadband beamforming algorithm in frequency domain

Liu, Wei and Koh, C.L. and Weiss, S. (2004) Constrained adaptive broadband beamforming algorithm in frequency domain. In: Sensor Array and Multichannel Signal Processing Workshop Proceedings, 2004. IEEE, pp. 94-98. ISBN 0-7803-8545-4

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In this paper, the linearly constrained minimum variance (LCMV) beamforming problem is formulated in the frequency domain based on the time-domain formulation of the cost function and the constraints. We then derive a frequency-domain constrained adaptive broadband beam-forming algorithm, which has a much lower computational complexity than the time-domain algorithm, although it suffers from a slower convergence speed, as shown by simulations. It is however an attractive option when the implementation of the time-domain algorithm is prohibitive due to large computational complexity. An alternative implementation of this constrained frequency-domain algorithm using the generalised sidelobe canceller (GSC) structure is also studied.