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Sum Capacity of a Gaussian Vector Broadcast Channel (2002)
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| Venue: | IEEE Trans. Inform. Theory |
| Citations: | 279 - 21 self |
BibTeX
@ARTICLE{Yu02sumcapacity,
author = {Wei Yu and John M. Cioffi},
title = {Sum Capacity of a Gaussian Vector Broadcast Channel},
journal = {IEEE Trans. Inform. Theory},
year = {2002},
volume = {50},
pages = {1875--1892}
}
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Abstract
This paper characterizes the sum capacity of a class of non-degraded Gaussian vectB broadcast channels where a singletransmitter with multiple transmit terminals sends independent information to multiple receivers. Coordinat+[ is allowed among the transmit teminals, but not among the different receivers. The sum capacity is shown t be a saddlepoint of a Gaussian mu al informat]R game, where a signal player chooses a tansmit covariance matrix to maximize the mutual information, and a noise player chooses a fictitious noise correlation to minimize the mutual information. This result holds fort he class of Gaussian channels whose saddle-point satisfies a full rank condition. Furt her,t he sum capacity is achieved using a precoding method for Gaussian channels with additive side information non-causally known at the transmitter. The optimal precoding structure is shown t correspond to a decision-feedback equalizer that decomposes t e broadcast channel into a series of single-user channels with intk ference pre-subtract] at the transmiter.
Keyphrases
sum capacity gaussian vector broadcast channel gaussian channel mutual information additive side information different receiver decision-feedback equalizer broadcast channel independent information multiple transmit terminal saddle-point satisfies gaussian mu al informat game intk ference pre-subtract single-user channel multiple receiver optimal precoding structure signal player transmit teminals fictitious noise correlation non-degraded gaussian vectb broadcast channel noise player precoding method tansmit covariance matrix full rank condition
