References & Further Reading

References

1. T. S. Han and K. Kobayashi, A New Achievable Rate Region for the Interference Channel, 1981

   Introduces the rate-splitting (common/private) scheme for the interference channel that remains the best known inner bound after more than 40 years.

2. R. H. Etkin, D. N. C. Tse, and H. Wang, Gaussian Interference Channel Capacity to Within One Bit, 2008

   Shows that a simple HK scheme achieves within 1 bit of the Gaussian IC capacity for all parameter values. A landmark result in approximate capacity characterization.

3. A. El Gamal and Y.-H. Kim, Network Information Theory, Cambridge University Press, 2011

   Comprehensive treatment of multi-user information theory including interference channels, relay channels, and network coding. The primary reference for this chapter.

4. Z. Zhang and R. W. Yeung, On Characterization of Entropy Function via Information Inequalities, 1998

   Discovers the first non-Shannon inequality, proving that Shannon-type inequalities are insufficient to characterize the entropy region for four or more random variables.

5. F. Liu and G. Caire, On the Fundamental Tradeoff of Integrated Sensing and Communications Under Gaussian Channels, 2023

   Establishes the capacity-distortion tradeoff for ISAC, providing the information-theoretic foundation for joint radar and communication system design.

6. V. R. Cadambe and S. A. Jafar, Interference Alignment and Degrees of Freedom of the K-User Interference Channel, 2008

   Proves that the $K$-user IC has $K/2$ DoF via interference alignment. A surprising result that launched a decade of research, though practical applicability remains limited.

7. S. H. Lim, Y.-H. Kim, A. El Gamal, and S.-Y. Chung, Noisy Network Coding, 2011

   Introduces noisy network coding, a unified relaying scheme for multi-relay networks that achieves within a constant gap of the cut-set bound.

8. T. M. Cover and A. El Gamal, Capacity Theorems for the Relay Channel, 1979

   The foundational paper on the relay channel, introducing decode-forward and compress-forward strategies. The capacity of the degraded relay channel is established.

9. Y. Polyanskiy, H. V. Poor, and S. Verdú, Channel Coding Rate in the Finite Blocklength Regime, 2010

   Establishes tight non-asymptotic bounds on the coding rate, showing that the second-order term involves the channel dispersion. Essential for finite-blocklength analysis.

Further Reading

• Interference channel: comprehensive survey

  A. El Gamal and Y.-H. Kim, "Network Information Theory," Cambridge University Press, 2011, Chapters 6 and 15. The definitive treatment of the interference channel.

  Contains all known capacity results, the full HK characterization, and the ETW approximate capacity result with detailed proofs.

• Non-Shannon inequalities and the entropy region

  R. Dougherty, C. Freiling, and K. Zeger, "Non-Shannon Information Inequalities in Four Random Variables," arXiv:0910.0823. Comprehensive study of non-Shannon inequalities.

  Provides a systematic construction of infinitely many non-Shannon inequalities and discusses their implications for network coding capacity.

• ISAC: tutorial and survey

  F. Liu et al., "Integrated Sensing and Communications: Toward Dual-Functional Wireless Networks for 6G and Beyond," IEEE J. Selected Areas in Communications, 2022.

  Comprehensive survey of ISAC covering signal processing, information theory, and system design perspectives. Includes CommIT group contributions.

• Near-field MIMO

  H. Lu and Y. Zeng, "Near-Field Modeling and Performance Analysis for Extremely Large Aperture Arrays," IEEE Communications Letters, 2022.

  Introduces the near-field channel model for XL-MIMO and analyzes the spatial multiplexing and beam focusing capabilities.