On the Fading Paper Achievable Region of the Fading MIMO Broadcast Channel
<|reference_start|>On the Fading Paper Achievable Region of the Fading MIMO Broadcast Channel: We consider transmission over the ergodic fading multi-antenna broadcast (MIMO-BC) channel with partial channel state information at the transmitter and full information at the receiver. Over the equivalent {\it non}-fading channel, capacity has recently been shown to be achievable using transmission schemes that were designed for the ``dirty paper'' channel. We focus on a similar ``fading paper'' model. The evaluation of the fading paper capacity is difficult to obtain. We confine ourselves to the {\it linear-assignment} capacity, which we define, and use convex analysis methods to prove that its maximizing distribution is Gaussian. We compare our fading-paper transmission to an application of dirty paper coding that ignores the partial state information and assumes the channel is fixed at the average fade. We show that a gain is easily achieved by appropriately exploiting the information. We also consider a cooperative upper bound on the sum-rate capacity as suggested by Sato. We present a numeric example that indicates that our scheme is capable of realizing much of this upper bound.<|reference_end|>
@article{bennatan2006on,
    title={On the Fading Paper Achievable Region of the Fading MIMO Broadcast
  Channel},
    author={Amir Bennatan and David Burshtein},
    journal={arXiv preprint arXiv:cs/0610021},
    year={2006},
    archivePrefix={arXiv},
    eprint={cs/0610021},
    primaryClass={cs.IT math.IT}
}