Content deleted Content added
m clean up, References after punctuation per WP:REFPUNC and WP:PAIC using AWB (8748) |
|||
Line 70:
For comparison purposes, it is instructive to compare with the uplink MIMO channel where the same single-antenna users transmit to the same base station, having <math>N</math> receive antennas. The input-output relationship can be described as
:<math>\mathbf{y} = \sum_{k=1}^{K} \mathbf{h}_k \sqrt{
where <math>s_k</math> is the transmitted symbol for user <math>k</math>, <math>q_k</math> is the transmit power for this symbol, <math>\mathbf{y}</math> and <math>\mathbf{n}</math> are the <math>N \times 1</math> vector of received signals and noise respectively, <math>\mathbf{h}_k</math> is the <math>N \times 1</math> vector of channel coefficients. If the base station uses linear receive filters to combine the received signals on the <math>N</math> antennas, the SINR for the data stream from user <math>k</math> becomes
:<math>\textrm{SINR}^{\mathrm{uplink}}_k = \frac{q_k|\mathbf{h}_k^H\mathbf{v}_k|^2}{1+\sum_{i \neq k} q_i |\mathbf{h}_i^H\mathbf{v}_k|^2}</math>
| |||