References
References
- S. Vishwanath, N. Jindal, and A. Goldsmith, Duality, Achievable Rates, and Sum-Rate Capacity of Gaussian MIMO Broadcast Channels, IEEE Transactions on Information Theory, 2003
Establishes the BC-MAC duality and proves that the MIMO broadcast channel capacity region is achieved by dirty paper coding. This paper, together with independent work by Caire and Shamai, resolved a long-standing open problem in multi-user information theory.
- G. Caire and S. Shamai, On the Achievable Throughput of a Multiantenna Gaussian Broadcast Channel, IEEE Transactions on Information Theory, 2003
Independently characterises the MIMO BC capacity using DPC and the connection to the degraded broadcast channel. Together with Vishwanath et al., this work completed the proof that DPC achieves the BC capacity region.
- T. Yoo and A. Goldsmith, On the Optimality of Multiantenna Broadcast Scheduling Using Zero-Forcing Beamforming, IEEE Journal on Selected Areas in Communications, 2006
Proposes the semi-orthogonal user selection (SUS) algorithm for multi-user MIMO scheduling. Shows that ZF beamforming with SUS achieves the same scaling law as DPC with optimal user selection, with only polynomial complexity.
- Q. Shi, M. Razaviyayn, Z.-Q. Luo, and C. He, An Iteratively Weighted MMSE Approach to Distributed Sum-Utility Maximization for a MIMO Interfering Broadcast Channel, IEEE Transactions on Signal Processing, 2011
Introduces the WMMSE algorithm for weighted sum-rate maximisation in multi-user MIMO systems. The rate-WMMSE identity enables block coordinate descent with guaranteed convergence. One of the most influential and widely-cited papers in modern signal processing for communications.
- V. R. Cadambe and S. A. Jafar, Interference Alignment and Degrees of Freedom of the K-User Interference Channel, IEEE Transactions on Information Theory, 2008
The seminal paper proving that the $K$-user interference channel has $K/2$ total degrees of freedom, achievable by interference alignment. This surprising result fundamentally changed the understanding of multi-user interference and spurred an enormous body of follow-up research.
- Q. H. Spencer, A. L. Swindlehurst, and M. Haardt, Zero-Forcing Methods for Downlink Spatial Multiplexing in Multiuser MIMO Channels, IEEE Transactions on Signal Processing, 2004
Develops zero-forcing and block-diagonalisation precoding methods for the multi-user MIMO downlink. Provides a systematic framework for linear precoder design when users have multiple antennas.
- D. Tse and P. Viswanath, Fundamentals of Wireless Communications, Cambridge University Press, 2005
The primary textbook reference. Chapter 6 covers the multiple-access and broadcast channels with exceptional clarity, including MAC-BC duality, DPC, and opportunistic communication.
- M. H. M. Costa, Writing on Dirty Paper, IEEE Transactions on Information Theory, 1983
The foundational information-theoretic result showing that known interference at the transmitter can be completely pre-cancelled with no rate penalty. This "writing on dirty paper" theorem is the theoretical basis for DPC-based broadcast channel coding.
- H. Weingarten, Y. Steinberg, and S. Shamai, The Capacity Region of the Gaussian Multiple-Input Multiple-Output Broadcast Channel, IEEE Transactions on Information Theory, 2006
Provides the definitive proof that the DPC rate region is the capacity region of the Gaussian MIMO BC. Uses an enhanced entropy power inequality to establish the converse, completing the characterisation initiated by Vishwanath et al. and Caire and Shamai.
Further Reading
For readers who want to go deeper into specific topics from this chapter.
Multi-user MIMO capacity and DPC implementation
Jindal, Rhee, Vishwanath, Jafar, and Goldsmith, "Sum Power Iterative Water-Filling for Multi-Antenna Gaussian Broadcast Channels," IEEE Trans. Inform. Theory, 2005
Develops iterative algorithms for computing the DPC rate region, including the sum-power iterative water-filling algorithm that efficiently traces the boundary of the BC capacity region.
Interference alignment: algorithms and practical aspects
Gomadam, Cadambe, and Jafar, "A Distributed Numerical Approach to Interference Alignment and Applications to Wireless Interference Networks," IEEE Trans. Inform. Theory, 2011
Develops practical iterative algorithms (max-SINR, min-leakage) for computing IA precoders in finite-dimensional settings, bridging the gap between the asymptotic theory and practical implementation.
Limited feedback for multi-user MIMO
Jindal, "MIMO Broadcast Channels with Finite-Rate Feedback," IEEE Trans. Inform. Theory, 2006
Analyses the impact of finite-rate CSI feedback on multi-user MIMO performance, showing that the feedback rate must scale linearly with SNR (in dB) to maintain the multiplexing gain of ZF precoding.
Multi-user diversity and opportunistic beamforming
Viswanath, Tse, and Laroia, "Opportunistic Beamforming Using Dumb Antennas," IEEE Trans. Inform. Theory, 2002
Introduces opportunistic beamforming (random beamforming) as a way to induce channel fluctuations and exploit multi-user diversity without full CSIT, an elegant idea that influenced practical scheduler design.
Massive MIMO as the scaling limit of MU-MIMO
Marzetta, "Noncooperative Cellular Wireless with Unlimited Numbers of Base Station Antennas," IEEE Trans. Wireless Commun., 2010
The foundational paper on massive MIMO, showing how the multi-user MIMO concepts from this chapter simplify dramatically when $N_t \to \infty$: linear precoding becomes optimal and pilot contamination is the dominant impairment.
NOMA and rate-splitting for multi-user access
Clerckx, Mao, Schober, Jorswieck, et al., "Is NOMA Efficient in Multi-Antenna Networks?," IEEE JSAC, 2022
Provides a modern perspective on non-orthogonal multiple access and rate-splitting as alternatives to the linear precoding and scheduling approaches of this chapter, with particular attention to the role of CSIT quality.