## Linear precoding via conic optimization for fixed MIMO receivers (2004)

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Venue: | IEEE Trans. Signal Processing |

Citations: | 50 - 3 self |

### BibTeX

@ARTICLE{Wiesel04linearprecoding,

author = {Ami Wiesel and Yonina C. Eldar and Shlomo Shamai (Shitz)},

title = {Linear precoding via conic optimization for fixed MIMO receivers},

journal = {IEEE Trans. Signal Processing},

year = {2004},

volume = {54},

pages = {161--176}

}

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### Abstract

We consider the problem of designing linear precoders for fixed multiple input multiple output (MIMO) receivers. Two di#erent design criteria are considered. In the first, we minimize the transmitted power subject to signal to interference plus noise ratio (SINR) constraints. In the second, we maximize the worst case SINR subject to a power constraint. We show that both problems can be solved using standard conic optimization packages. In addition, we develop conditions for the optimal precoder for both of these problems, and propose two simple fixed point iterations to find the solutions which satisfy these conditions. The relation to the well known downlink uplink duality in the context of joint downlink beamforming and power control is also explored. Our precoder design is general, and as a special case it solves the beamforming problem. In contrast to most of the existing precoders, it is not limited to full rank systems. Simulation results in a multiuser system show that the resulting precoders can significantly outperform existing linear precoders. 1