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In this paper, the authors study a Coordinated BeamForming (CBF) scheme for a multi-cell scenario where pre-coding/beamforming vectors for all coordinating Base Stations (BSs) are jointly designed in a manner that each BS transmits to its local users. They minimise the total transmit power across coordinating BSs while keeping the Signal-to-Interference-plus-Noise Ratio (SINR) at each user above the required level. They formulate the optimisation problem for CBF in a standard semi-definite programming form using instantaneous channel state information.
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