Abstract
We consider a multiuser multiple-input multiple- output (MIMO) Gaussian broadcast channel (BC), where the transmitter and receivers have multiple antennas. Since the MIMO BC is in general a nondegraded BC, its capacity region remains an unsolved problem. We establish a duality between what is termed the "dirty paper" achievable region (the Caire-Shamai (see Proc. IEEE Int. Symp. Information Theory, Washington, DC, June 2001, p.322) achievable region) for the MIMO BC and the capacity region of the MIMO multiple-access channel (MAC), which is easy to compute. Using this duality, we greatly reduce the computational complexity required for obtaining the dirty paper achievable region for the MIMO BC. We also show that the dirty paper achievable region achieves the sum-rate capacity of the MIMO BC by establishing that the maximum sum rate of this region equals an upper bound on the sum rate of the MIMO BC.
Keywords
MIMOTransmitterGaussianDuality (order theory)Channel capacityTopology (electrical circuits)Channel (broadcasting)MathematicsMulti-user MIMO3G MIMOComputer scienceTelecommunicationsMathematical optimizationDiscrete mathematicsCombinatoricsPhysics
Affiliated Institutions
Related Publications
On the achievable throughput of a multiantenna Gaussian broadcast channel
A Gaussian broadcast channel (GBC) with r single-antenna receivers and t antennas at the transmitter is considered. Both transmitter and receivers have perfect knowledge of the ...
Sum capacity of the vector Gaussian broadcast channel and uplink–downlink duality
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 t...
MIMO Capacity Through Correlated Channels in the Presence of Correlated Interferers and Noise: A (Not So) Large N Analysis
The use of multiple-antenna arrays in both transmission and reception promises huge increases in the throughput of wireless communication systems. It is therefore important to a...
Efficient use of side information in multiple-antenna data transmission over fading channels
We derive performance limits for two closely related communication scenarios involving a wireless system with multiple-element transmitter antenna arrays: a point-to-point syste...
On the Maximum Common Rate Achievable in a Coordinated Network
We quantify the ultimate performance limits of inter-cell coordinatation in a cellular downlink network. The goal is to achieve fairness by maximizing the minimum rate in the ne...
Publication Info
- Year
- 2003
- Type
- article
- Volume
- 49
- Issue
- 10
- Pages
- 2658-2668
- Citations
- 1682
- Access
- Closed
External Links
Social Impact
Altmetric
PlumX Metrics
Social media, news, blog, policy document mentions
Citation Metrics
1682
OpenAlex
160
Influential
1278
CrossRef
Cite This
Sriram Vishwanath,
Nihar Jindal,
Andrea Goldsmith
(2003).
Duality, achievable rates, and sum-rate capacity of gaussian mimo broadcast channels.
IEEE Transactions on Information Theory
, 49
(10)
, 2658-2668.
https://doi.org/10.1109/tit.2003.817421
Identifiers
- DOI
- 10.1109/tit.2003.817421