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We consider a precoded multiple-antenna broadcast system which consists of a AP with N_t transmit antennas and K users each with single receiver antenna. Then, the received signal at user k is described as

y_k = \mathbf{h}_k^T\mathbf{x}+n_k, \quad k=1,2, \ldots, K

where \mathbf{x} = \sum_{i=1}^K s_i P_i \mathbf{w}_i is the N_t \times 1 vector of transmit symbols, n_k is the noise signal at user k respectively, \mathbf{h}_k is the N_t \times 1 vector of channel coefficients and \mathbf{w}_i is the N_t \times 1 linear precoding vector.

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