Duality, achievable rates, and sum-rate capacity of Gaussian MIMO broadcast channels

By Sriram Vishwanath, Nihar Jindal, Andrea J. Goldsmith. IEEE Transactions on Information Theory, 2003

1,696 citations recorded by the source corpus.

Subfields: Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/951cde9aa2c51157966601da99f0939191fd055e

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In Electrical and Electronic Engineering

Citations in the corpus

An introduction to convex optimization for communications and signal processing (2006, background): “As shown in [12], [13], [15], [16], the capacity region of a downlink broadcast channel is identical to the capacity region of an uplink channel with the same sum power constraint.”
Movable-Antenna Enhanced Multiuser Communication via Antenna Position Optimization (2023, background): “Although the multi-antenna multiuser communication systems have been widely investigated in existing literature [28]–[32], these works mainly focused on FPA systems, while the DoF in antenna position optimization was not considered or fully exploited.”
MIMO Relaying With Linear Processing for Multiuser Transmission in Fixed Relay Networks (2008, methodology): “Compared to prior work on MIMO broadcast channel [25], [26], [28], we still apply the dirty paper coding to derive achievable sum rates of the multiuser MIMO relay channel; however, we conduct a joint design of the precoder at the base station and the linear processing matrix at the relay.”
On the capacity of MIMO broadcast channels with partial side information (2005, background): “Interestingly, in Lemma 1, we showed that is in fact the best sum rate capacity that can be achieved with full knowledge of the channel using dirty paper coding [6]–[8].”
Noncooperative Cellular Wireless with Unlimited Numbers of Base Station Antennas (2010, background): “An alternative to a point-to-point MIMO system is a multiuser MIMO system [3], [4], [5], [6] in which an antenna array simultaneously serves a multiplicity of autonomous terminals.”
Dynamic Resource Allocation in Cognitive Radio Networks (2010, methodology): “e point-to-point CR channel, the standard Lagrange duality method cannot be applied for this problem. For (P3) in the case without the PIPCs, a so-called “BC-MAC duality” relationship was proposed in [23] to transform the non-convex MIMO-BC problem into an equivalent convex MIMO-MAC problem, which i”
A Tutorial on Fluid Antenna System for 6G Networks: Encompassing Communication Theory, Optimization Methods and Hardware Designs (2024, methodology): “Since then, MIMO systems have been upgraded to multiuser MIMO, first in [58], [59] and then in the classical results [60], [61].”
Performance of Conjugate and Zero-Forcing Beamforming in Large-Scale Antenna Systems (2013, background): “…with respect to net spectral-efficiency and radiated energy-efficiency in a simplified single-cell scenario where propagation is governed by independent Rayleigh fading, and where channel-state information (CSI) acquisition and data transmission are both performed during a short coherence interval.”
Breaking Spectrum Gridlock With Cognitive Radios: An Information Theoretic Perspective (2009, background): “As previously pointed out, if the noncognitive encoder is silent, the model reduces to a broadcast channel from the cognitive encoder to the two receivers, for which dirty-paper coding is the optimal strategy [47], [48].”
Joint Spatial Division and Multiplexing—The Large-Scale Array Regime (2012, background): “For any ﬁxed set { SSS g } of feasible input covariance matrices, deﬁne for notation simplicity”