Abstract
We characterize the sum capacity of the vector Gaussian broadcast channel by showing that the existing inner bound of Marton and the existing upper bound of Sato are tight for this channel. We exploit an intimate four-way connection between the vector broadcast channel, the corresponding point-to-point channel (where the receivers can cooperate), the multiple-access channel (MAC) (where the role of transmitters and receivers are reversed), and the corresponding point-to-point channel (where the transmitters can cooperate).
Keywords
Telecommunications linkChannel (broadcasting)Upper and lower boundsTopology (electrical circuits)GaussianDuality (order theory)Channel capacityComputer sciencePoint (geometry)MathematicsTelecommunicationsComputer networkCombinatoricsPhysicsMathematical analysisGeometry
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Publication Info
- Year
- 2003
- Type
- article
- Volume
- 49
- Issue
- 8
- Pages
- 1912-1921
- Citations
- 1293
- Access
- Closed
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Cite This
Pramod Viswanath,
David Tse
(2003).
Sum capacity of the vector Gaussian broadcast channel and uplink–downlink duality.
IEEE Transactions on Information Theory
, 49
(8)
, 1912-1921.
https://doi.org/10.1109/tit.2003.814483
Identifiers
- DOI
- 10.1109/tit.2003.814483