References
References
- A. El Gamal and Y.-H. Kim, Network Information Theory, Cambridge University Press, 2011
The definitive textbook on multiuser information theory, covering the MAC, BC, interference channel, relay channel, and multi-terminal source coding with full proofs. The primary reference for Sections 26.1--26.4. Chapter 4 (MAC), Chapter 5 (BC), Chapter 6 (IC), and Chapter 16 (relay) correspond directly to our presentation.
- T. M. Cover and J. A. Thomas, Elements of Information Theory, Wiley-Interscience (2nd edition), 2006
The classic graduate textbook on information theory. Chapter 15 (network information theory) provides an accessible introduction to MAC and BC capacity regions. Our notation and proof structure for the MAC capacity theorem follow Cover and Thomas.
- 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 landmark paper proving that the $K$-user interference channel has $K/2$ degrees of freedom, achieved by interference alignment. This result fundamentally changed the understanding of multiuser wireless networks. The primary reference for Section 26.5.
- Y. Polyanskiy, H. V. Poor, and S. Verdu, Channel Coding Rate in the Finite Blocklength Regime, IEEE Transactions on Information Theory, 2010
Foundational paper establishing the normal approximation for finite-blocklength capacity: $R^*(n,\epsilon) = C - \sqrt{V/n}\,Q^{-1}(\epsilon) + O(\log n / n)$. Introduces the channel dispersion $V$ as a fundamental channel parameter. The primary reference for Section 26.6.
- R. H. Etkin, D. N. C. Tse, and H. Wang, Gaussian Interference Channel Capacity to Within One Bit, IEEE Transactions on Information Theory, 2008
Proves that a simple Han-Kobayashi scheme achieves within 1 bit/s/Hz of the capacity of the two-user Gaussian interference channel for all parameter values. Establishes the generalised degrees of freedom characterisation. The primary reference for the approximate capacity result in Section 26.3.
- M. H. M. Costa, Writing on Dirty Paper, IEEE Transactions on Information Theory, 1983
Proves that the capacity of the channel $Y = X + S + Z$ with interference $S$ known at the transmitter equals the interference-free capacity $\frac{1}{2}\log(1 + P/N)$. The theoretical foundation for MIMO broadcast channel precoding.
- H. Weingarten, Y. Steinberg, and S. S. Shamai (Shitz), The Capacity Region of the Gaussian Multiple-Input Multiple-Output Broadcast Channel, IEEE Transactions on Information Theory, 2006
Proves that DPC achieves the capacity region of the Gaussian MIMO broadcast channel, resolving a long-standing conjecture. Uses the MAC-BC duality and an extremal entropy inequality.
- G. Bianchi, Performance Analysis of the IEEE 802.11 Distributed Coordination Function, IEEE JSAC, 2000
While primarily a networking paper, Bianchi's MAC analysis is referenced here as an example of applying information-theoretic random access models to practical systems.
- T. M. Cover and A. El Gamal, Capacity Theorems for the Relay Channel, IEEE Transactions on Information Theory, 1979
Establishes the decode-forward and compress-forward achievable rates and the cut-set upper bound for the relay channel. The foundational paper for relay channel information theory.
- S. H. Lim, Y.-H. Kim, A. El Gamal, and S.-Y. Chung, Noisy Network Coding, IEEE Transactions on Information Theory, 2011
Introduces noisy network coding, which generalises compress-forward to arbitrary multi-relay networks and achieves within a constant gap of the cut-set bound for Gaussian networks.
Further Reading
For readers who want to go deeper into specific topics from this chapter.
Interference alignment: practical aspects and limitations
S. A. Jafar, "Interference Alignment: A New Look at Signal Dimensions in a Communication Network," Foundations and Trends in Communications and Information Theory, 2011
A comprehensive monograph on interference alignment covering both theoretical foundations (DoF, feasibility conditions) and practical considerations (finite SNR performance, CSI requirements, iterative algorithms). Essential for understanding the gap between DoF-optimal IA and practical implementations.
Finite blocklength theory and URLLC
G. Durisi, T. Koch, and P. Popovski, "Toward Massive, Ultrareliable, and Low-Latency Wireless Communication with Short Packets," Proceedings of the IEEE, 2016
A tutorial bridging finite blocklength information theory and URLLC system design, including the impact of channel estimation overhead, fading, and multi-antenna systems on finite-blocklength performance.
MAC-BC duality and MIMO BC capacity
S. Vishwanath, N. Jindal, and A. Goldsmith, "Duality, Achievable Rates, and Sum-Rate Capacity of Gaussian MIMO Broadcast Channels," IEEE Trans. Inf. Theory, 2003
Establishes the MAC-BC duality for MIMO channels and uses it to compute the sum capacity of the MIMO BC. The duality transformation is essential for practical DPC implementations.
Network information theory and capacity approximation
A. S. Avestimehr, S. N. Diggavi, and D. N. C. Tse, "Wireless Network Information Flow: A Deterministic Approach," IEEE Trans. Inf. Theory, 2011
Introduces the deterministic approach to wireless network information theory, providing constant-gap capacity approximations for general relay networks. Complements the noisy network coding approach of Section 26.4.