References & Further Reading

References

  1. T. S. Han and K. Kobayashi, A new achievable rate region for the interference channel, 1981

    The seminal inner bound for the IC using rate splitting. Still the best known achievable region after 40+ years.

  2. R. H. Etkin, D. N. C. Tse, and H. Wang, Gaussian interference channel capacity to within one bit, 2008

    Proves HK achieves within 1 bit of capacity for all Gaussian IC parameters. The ETW power split is a near-universal prescription.

  3. V. R. Cadambe and S. A. Jafar, Interference alignment and degrees of freedom of the $K$-user interference channel, 2008

    Establishes the surprising result that the $K$-user IC has $K/2$ DoF via interference alignment. A landmark result in network information theory.

  4. V. S. Annapureddy and V. V. Veeravalli, Gaussian interference networks: sum capacity in the low-interference regime and new outer bounds on the capacity region, 2009

    Proves TIN is sum-rate optimal in the noisy interference regime. Validates the 'ignore interference' approach.

  5. C. Geng, N. Nair, S. Shadbakht, and H. Wang, On the optimality of treating interference as noise, 2015

    Characterizes the full GDoF region with TIN and establishes conditions for TIN optimality.

  6. A. B. Carleial, A case where interference does not reduce capacity, 1975

    The first result on the IC: capacity under very strong interference equals the interference-free capacity.

  7. M. H. M. Costa and A. El Gamal, The capacity region of the discrete memoryless interference channel with strong interference, 1987

    Establishes the capacity region under strong interference as the intersection of MAC regions.

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

    Chapters 6 and 9 provide a comprehensive treatment of the IC including inner bounds, outer bounds, and capacity results.

  9. T. M. Cover and J. A. Thomas, Elements of Information Theory, Wiley, 2nd ed., 2006

    Chapter 15.7 gives an accessible introduction to the interference channel.

  10. S. A. Jafar, Interference Alignment: A New Look at Signal Dimensions in a Communication Network, Now Publishers (Foundations and Trends in Communications and Information Theory), 2011

    Comprehensive monograph on IA: theory, feasibility conditions, practical limitations.

Further Reading

Resources for deeper exploration of interference channel theory and its applications.

  • The interference channel capacity problem

    A. El Gamal and Y.-H. Kim, Network Information Theory, Chapters 6 and 9

    The most complete and rigorous treatment of IC inner and outer bounds, with detailed proofs. Essential for researchers working on the open capacity problem.

  • Interference alignment: theory and practice

    S. A. Jafar, Interference Alignment, Foundations and Trends, 2011

    Goes beyond the basic DoF result to cover feasibility conditions, the role of channel diversity, and why practical implementation is so challenging.

  • Practical interference management in cellular systems

    Book telecom, Chapter 17 (MU-MIMO) and Chapter 20 (HetNets)

    Covers the engineering side: how real systems manage interference through power control, scheduling, and MIMO processing without using IC capacity theory directly.

  • The K-user IC and beyond

    R. Etkin, D. Tse, and H. Wang, 'Gaussian interference channel capacity to within one bit,' IEEE Trans. IT, 2008

    The ETW paper contains not only the 1-bit result but also a masterful exposition of the different interference regimes and why HK is near-optimal.