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The Capacity Region of the Gaussian Multiple-Input Multiple-Output Broadcast Channel
Abstract
The Gaussian multiple-input multiple-output (MIMO) broadcast channel (BC) is considered. The dirty-paper coding (DPC) rate region is shown to coincide with the capacity region. To that end, a new notion of an enhanced broadcast channel is introduced and is used jointly with the entropy power inequality, to show that a superposition of Gaussian codes is optimal for the degraded vector broadcast channel and that DPC is optimal for the nondegraded case. Furthermore, the capacity region is characterized under a wide range of input constraints, accounting, as special cases, for the total power and the per-antenna power constraints
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Boyd, S., & Vandenberghe, L. (2004) · doi:10.1017/cbo9780511804441 · Cited by 56,601
Cited by
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Gesbert, D., Kountouris, M., Heath, R. W., Chae, C.-B., & Salzer, T. (2007) · IEEE Signal Processing Magazine · doi:10.1109/msp.2007.904815 · Cited by 1,083
An introduction to convex optimization for communications and signal processing
Luo, Z.-Q., & Yu, W. (2006) · IEEE Journal on Selected Areas in Communications · doi:10.1109/jsac.2006.879347 · Cited by 562
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Jovicic, A., & Viswanath, P. (2009) · IEEE Transactions on Information Theory · doi:10.1109/tit.2009.2025539 · Cited by 555
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Heath Jr, R. W., & Lozano, A. (2018) · Cambridge University Press eBooks · doi:10.1017/9781139049276 · Cited by 426
Metadata
- Authors
- Weingarten, H., Steinberg, Y., & Shamai, S. S.
- Venue
- IEEE Transactions on Information Theory
- Published
- 2006-09
- Volume
- 52
- Issue
- 9
- Pages
- 3936-3964
- ISSN
- 0018-9448 (ISSN-L)
- OpenAlex
- W2030546921
- Cited by
- 1,709
- References
- 1
- FWCI
- 149.13
- Type
- journal article
- Language
- en
- Open access
- closed
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- Weingarten, H., Steinberg, Y., & Shamai, S. S. (2006). The Capacity Region of the Gaussian Multiple-Input Multiple-Output Broadcast Channel. IEEE Transactions on Information Theory. https://doi.org/10.1109/tit.2006.880064
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