References & Further Reading

References

  1. C. E. Shannon, A Mathematical Theory of Communication, 1948

    The foundational paper of information theory; Part III establishes the Shannon capacity formula for the bandlimited AWGN channel and the $-1.59$ dB energy-per-bit limit. Everything in this chapter descends from this paper.

  2. G. Ungerboeck, Channel Coding with Multilevel/Phase Signals, 1982

    The founding paper of coded modulation. Introduces trellis-coded modulation, set-partition labeling, and the insight that code and modulation must be co-designed over Euclidean distance.

  3. G. D. Forney Jr. and G. Ungerboeck, Modulation and Coding for Linear Gaussian Channels, 1998

    The canonical survey of coded modulation for the Gaussian channel, including the spectral-efficiency plane, shaping vs. coding gain decomposition, and a unified framework connecting TCM, MLC, BICM, and lattice codes. The reference for this chapter.

  4. J. L. Massey, Coding and Modulation in Digital Communications, 1974

    The first explicit statement that joint design of code and modulation can substantially improve bandwidth-limited AWGN performance. The Ungerboeck 1982 paper is often credited as the origin of coded modulation, but Massey's 1974 Zurich talk is where the idea is first articulated publicly.

  5. J. G. Proakis and M. Salehi, Digital Communications, McGraw-Hill, 5th ed., 2008

    The standard graduate reference for digital communications. Chapter 4 develops the union bound and the $\\ntn{qfn}$-function BER expressions used throughout this chapter; Chapter 7 develops coded modulation with similar emphasis.

  6. G. D. Forney Jr., M. D. Trott, and S.-Y. Chung, Sphere-Bound-Achieving Coset Codes and Multilevel Coset Codes, 2000

    Definitive treatment of the shaping-coding decomposition via lattice-coset codes. Shows that multilevel coset codes with Voronoi shaping can in principle achieve AWGN capacity.

  7. A. Lapidoth, A Foundation in Digital Communication, Cambridge University Press, 2nd ed., 2017

    A rigorous, information-theoretic foundation for digital communications. Especially good on the pairwise error probability on AWGN and the relation between CM capacity and Shannon capacity.

  8. J. M. Wozencraft and I. M. Jacobs, Principles of Communication Engineering, Wiley, 1965

    The classical textbook that introduced the signal-space formulation of digital communications now taken for granted. Chapter 5 remains the cleanest introduction to the geometry of ML detection on AWGN.

  9. E. Biglieri, Coding for Wireless Channels, Springer, 2005

    Comprehensive monograph covering BICM, TCM, space-time codes, and fading-channel coding. Chapters 6-7 treat the BICM and TCM material of this chapter at book length.

  10. D. Tse and P. Viswanath, Fundamentals of Wireless Communication, Cambridge University Press, 2005

    Standard graduate text for wireless communications. Chapter 3 covers constellation design, the spectral-efficiency plane, and the spectral-efficiency-vs-SNR tradeoff used as framing in this chapter.

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

    The reference for information-theoretic background: mutual information, channel capacity, AWGN capacity, entropy inequalities. Chapter 9 is directly relevant to our CM-capacity and Shannon-limit treatments.

  12. G. D. Forney Jr., Geometrically Uniform Codes, 1991

    Introduces the notion of geometrically uniform codes and clarifies the role of signal-space symmetry in coded modulation. Influential precursor to the lattice-code development in Chapter 4.

  13. G. Caire, G. Taricco, and E. Biglieri, Bit-Interleaved Coded Modulation, 1998

    The foundational analysis of BICM, including the BICM capacity formula and the Gray-labeling near-optimality result. Referenced in Section 5 as a commit contribution. The paper that justified the use of BICM in every modern cellular and Wi-Fi standard.

Further Reading

For readers who want to dig deeper into specific topics from this chapter.

  • Intuitive history of coded modulation

    G. D. Forney Jr., 'Trellis shaping,' IEEE Trans. Inform. Theory, vol. 38, no. 2, pp. 281-300, Mar. 1992

    Readable and historically rich account of how coded modulation evolved, with emphasis on the shaping-coding decomposition that motivated this chapter's Section 3.

  • Probabilistic amplitude shaping in practice

    G. Bocherer, F. Steiner, and P. Schulte, 'Bandwidth-efficient and rate-matched low-density parity-check coded modulation,' IEEE Trans. Commun., vol. 63, no. 12, pp. 4651-4665, Dec. 2015

    The paper that made PAS practical. The natural next step after understanding the theoretical $1.53$ dB limit in Section 3.

  • Modern treatment of BICM

    A. Guillen i Fabregas, A. Martinez, and G. Caire, 'Bit-interleaved coded modulation,' Found. Trends Commun. Inf. Theory, vol. 5, no. 1-2, pp. 1-153, 2008

    A later CommIT contribution extending the 1998 BICM paper with a detailed error-exponent analysis. Bridges Chapter 1's overview to the full BICM treatment in Chapters 5-8.

  • Error exponents beyond the union bound

    R. G. Gallager, Information Theory and Reliable Communication, Wiley, 1968, Ch. 5

    For readers who want to go beyond the union-bound analysis of Section 4 and understand random-coding error exponents.

  • Numerical computation of CM capacity

    F. Schreckenbach, Iterative Decoding of Bit-Interleaved Coded Modulation, Shaker Verlag, 2007, Ch. 2

    Practical algorithms for computing CM and BICM capacities numerically; useful when building the capacity curves we reference in Section 3's interactive plots.

ExercisesCh 2 →