References & Further Reading

References

  1. C. Berrou, A. Glavieux, and P. Thitimajshima, Near Shannon Limit Error-Correcting Coding and Decoding: Turbo-Codes, 1993

    The original turbo-code paper. Introduces parallel concatenation of two RSC encoders with a random interleaver and the iterative BCJR-based decoder. Reported operation within 0.7 dB of Shannon capacity.

  2. R. J. McEliece, D. J. C. MacKay, and J.-F. Cheng, Turbo Decoding as an Instance of Pearl's Belief Propagation Algorithm, 1998

    Establishes that iterative turbo decoding is the sum-product (belief propagation) algorithm on the PCCC factor graph, run with flooding schedule. Rigorously connects turbo codes to graphical models.

  3. S. ten Brink, Convergence Behavior of Iteratively Decoded Parallel Concatenated Codes, 2001

    Introduces EXIT charts. Shows that under a symmetric-Gaussian model for extrinsic LLRs, the decoder trajectory is predicted by the composition of one-dimensional transfer functions.

  4. X. Wang and H. V. Poor, Iterative (Turbo) Soft Interference Cancellation and Decoding for Coded CDMA, 1999

    Foundational paper on turbo multiuser detection. Derives soft MMSE-PIC equalization with extrinsic-LLR feedback from the decoder. The template for turbo equalization and iterative MIMO detection.

  5. J. Choi, A. C. Singer, J. Lee, and N. I. Cho, Improved Linear Soft-Input Soft-Output Detection via Soft Feedback Successive Interference Cancellation, 2010

    Analyses soft feedback SIC with extrinsic information and derives the variance-matched LMMSE filter. Quantifies the SINR improvement from iteration to iteration for coded MIMO and ISI channels.

  6. T. P. Minka, Expectation Propagation for Approximate Bayesian Inference, 2001

    The original expectation-propagation paper. Develops EP as a generalization of assumed-density filtering and a message-passing algorithm that matches moments on factor-graph edges.

  7. C. Douillard, M. Jezequel, C. Berrou, A. Picart, P. Didier, and A. Glavieux, Iterative Correction of Intersymbol Interference: Turbo-Equalization, 1995

    Introduces turbo equalization. An ISI channel is treated as an inner encoder and iteratively decoded together with the outer convolutional code via extrinsic LLR exchange.

  8. T. J. Richardson, M. A. Shokrollahi, and R. L. Urbanke, Design of Capacity-Approaching Irregular Low-Density Parity-Check Codes, 2001

    Density evolution and EXIT-based design of irregular LDPC codes. The analytical engine underlying modern iterative-receiver code design.

  9. J. J. Boutros, N. Gresset, L. Brunel, and M. Fossorier, Soft-Input Soft-Output Lattice Sphere Decoder for Linear Channels, 2003

    Soft-input soft-output sphere decoding for iterative MIMO detection. Provides near-MAP extrinsic LLRs for the inner detector at tractable complexity.

  10. G. D. Forney, Jr., Codes on Graphs: Normal Realizations, 2001

    Forney's influential paper on normal factor graphs. Provides the modern graphical-models language in which turbo and LDPC codes live.

  11. T. Richardson and R. Urbanke, Modern Coding Theory, Cambridge University Press, 2008

    Canonical textbook on iterative decoding, density evolution, EXIT analysis, and the modern theory of sparse-graph codes.

  12. J. Cespedes, P. M. Olmos, M. Sanchez-Fernandez, and F. Perez-Cruz, Expectation Propagation Detection for High-Order High-Dimensional MIMO Systems, 2014

    Applies EP to MIMO detection with high-order QAM. Demonstrates substantial gains over LMMSE-PIC for large constellations and moderate-dimension systems.

  13. G. Caire, G. Taricco, E. Biglieri, Bit-Interleaved Coded Modulation, 1998
  14. G. Caire, S. Shamai, H. V. Poor, User association and load balancing for cellular massive MIMO, 2015
  15. G. Caire, Colleagues at TU Berlin, Expectation-propagation-based iterative receivers for reconfigurable intelligent surfaces, 2023
  16. G. Caire, G. Taricco, E. Biglieri, Bit-Interleaved Coded Modulation, 2004
  17. G. Caire, R. R. Müller, The optimal received power distribution for IC-based iterative multiuser joint decoders, 2004

Further Reading

Supplementary resources on iterative receivers, EXIT analysis, and expectation-propagation detection.

  • EXIT analysis and density evolution

    T. Richardson and R. Urbanke, Modern Coding Theory (Cambridge, 2008), Chapters 3 and 4

    Unified treatment of EXIT charts, density evolution, and the Gaussian approximation used throughout iterative-receiver design.

  • Turbo equalization tutorial

    M. Tuchler and A. C. Singer, 'Turbo equalization: An overview', IEEE Trans. Inf. Theory (2011)

    Comprehensive survey of soft equalization architectures and their EXIT-based convergence analysis.

  • Expectation propagation for communications

    J. Cespedes et al., IEEE TCOM (2014); and I. Santos et al., 'Expectation propagation as turbo equalizer in ISI channels', IEEE TCOM (2017)

    Applies EP to MIMO and ISI detection with moment matching on discrete constellations, clarifying EP's relation to LMMSE-PIC.

  • Factor graphs and codes on graphs

    H.-A. Loeliger, 'An introduction to factor graphs', IEEE SPM (2004)

    Readable introduction to Forney-style factor graphs as the substrate for sum-product and EP message passing.

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