FANDOM


The mathematical model of MIMO MAC is provided. In a MIMO MAC system with $ N_r $ receiver antennas at AP and a transmit antenna for each user $ k $ where $ k=1,2, \ldots, K $, the channel of MIMO MAC can be described as

$ \mathbf{y} = \sum_{i=1}^{K} s_i \mathbf{h}_i + \mathbf{n} = \mathbf{H}\mathbf{s} + \mathbf{n} $

where $ s_i $ is the transmitted symbol for user $ i $, $ \mathbf{y} $ and $ \mathbf{n} $ are the $ N_r \times 1 $ vector of received symbols and noise respectively, $ \mathbf{h}_k $ is the $ N_r \times 1 $ vector of channel coefficients. Also, $ \mathbf{H} = [\mathbf{h}_1, .., \mathbf{h}_K] $ is the concatenation matrix of the channel vectors for all users and $ \mathbf{s} = [s_1, .., s_K] $ is the concatenation vector of the transmit symbols for all users.