MIMO Broadcasting with degraded message sets: A Deterministic Approach. Prabhakaran, V., Diggavi, S N., & Tse, D N C. In Proceedings of Allerton Conference on Communication, Control, and Computing, Illinois, September, 2007.
abstract   bibtex   
In this paper we study the nested (degraded) message set problem, where user $i$ requires messages $W_1, . . . ,W_i$. We study this for a MIMO linear deterministic broadcast channel model, which is motivated by some recent successes in using such models to obtain insights into approximate characterizations for the Gaussian relay and interference channels. We establish the complete solution for the K = 3 user nested message problem for the MIMO linear deterministic broadcast channel. We also establish some extremal points for the general K-user case, where there are only two messages of interest.
@inproceedings{PDTj07,
 abstract = {In this paper we study the nested (degraded) message
set problem, where user $i$ requires messages
$W_1, . . . ,W_i$. We study this for a MIMO linear deterministic
broadcast channel model, which is motivated by some recent
successes in using such models to obtain insights into approximate
characterizations for the Gaussian relay and interference
channels. We establish the complete solution for the K = 3
user nested message problem for the MIMO linear deterministic
broadcast channel. We also establish some extremal points for
the general K-user case, where there are only two messages of
interest.},
 author = {V. Prabhakaran and S N. Diggavi and D N C. Tse},
 booktitle = {Proceedings of Allerton Conference on Communication, Control, and Computing, Illinois},
 file = {:papers:degmsgsetbc07.pdf},
 month = {September},
 note = {},
 pages = {},
 tags = {conf,DetApprox,IT,DegMsgSet,OppComm,SelConf},
 title = {MIMO Broadcasting with degraded message sets: A Deterministic Approach},
 type = {4},
 year = {2007}
}

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