The transmit beamforming technique in a wireless communication system is a beamforming technique applied to the downlink channel where the downlink is the transmission link from the transmitter to a single receiver or multiple receivers.

In order to describe beamforming process efficiently, we assume that the transmitter has M transmit antennas and each receiver has a single antenna. The received signal at the receiver in the transmit beamforming system is modelled as

 \mathbf{x} = \sum_{i=1}^K \mathbf{w}_i s_i = \mathbf{W} \mathbf{s}

where s_i in \mathbf{s} = [s_1, s_2, \ldots, s_K] is the message signal (chosen from a complex Gaussian alphabet with a constraint of power P/M) intended for the ith receiver and \mathbf{w}_i \in \mathbb{C}^{M \times 1} in \mathbf{W} = [\mathbf{w}_1, \mathbf{w}_2, \ldots, \mathbf{w}_M] is the corresponding beamforming vector.


See Also Edit

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