References & Further Reading

References

  1. A. Adhikary, J. Nam, J.-Y. Ahn, and G. Caire, Joint Spatial Division and Multiplexing — The Large-Scale Array Regime, 2013

    The foundational JSDM paper. Introduces two-stage precoding, proves asymptotic optimality, and provides practical group formation and DFT beam selection algorithms.

  2. J. Nam, A. Adhikary, J.-Y. Ahn, and G. Caire, Joint Spatial Division and Multiplexing: Opportunistic Beamforming, User Grouping and Simplified Downlink Scheduling, 2014

    Extends JSDM with opportunistic beamforming and practical scheduling. Introduces beam-domain CSI as a low-overhead feedback format.

  3. G. Caire and S. Shamai (Shitz), On the Achievable Throughput of a Multiantenna Gaussian Broadcast Channel, 2003

    Established that zero-forcing beamforming with user selection approaches the DPC capacity in the large-user regime. Foundational for JSDM's inner precoder design.

  4. T. L. Marzetta, Noncooperative Cellular Wireless with Unlimited Numbers of Base Station Antennas, 2010

    The seminal massive MIMO paper. Introduced the concept of very large antenna arrays and identified pilot contamination as the fundamental limit in TDD operation.

  5. A. M. Tulino and S. Verdú, Random Matrix Theory and Wireless Communications, Foundations and Trends in Communications and Information Theory, 2004

    Comprehensive treatment of random matrix theory applied to wireless channels. Essential background for understanding covariance eigenvalue distributions.

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

    The standard reference for MIMO channel models and capacity analysis. Chapter 7 on MIMO provides the foundation for JSDM's inner precoder analysis.

  7. E. Björnson, J. Hoydis, and L. Sanguinetti, Massive MIMO Networks: Spectral, Energy, and Hardware Efficiency, Foundations and Trends in Signal Processing, 2017

    Comprehensive monograph on massive MIMO with detailed rate analysis. Chapters 2–3 cover the spatial correlation models used in JSDM.

  8. 3GPP, NR; Physical Layer Procedures for Data (TS 38.214), 2023. [Link]

    The 5G NR standard for CSI reporting. Section 5.2.2.2 specifies the Type II codebook that implements a JSDM-like two-stage feedback structure.

  9. H. Weingarten, Y. Steinberg, and S. Shamai (Shitz), The Capacity Region of the Gaussian Multiple-Input Multiple-Output Broadcast Channel, 2006

    Established the MIMO BC capacity region via dirty-paper coding. The information-theoretic benchmark against which JSDM performance is measured.

  10. A. M. Sayeed, Deconstructing Multiantenna Fading Channels, 2002

    Introduced the virtual channel representation — the DFT-domain channel model that motivates JSDM's DFT pre-beamformer.

Further Reading

For readers who want to go deeper into JSDM and related topics.

  • Deep learning for CSI compression in FDD massive MIMO

    C.-K. Wen, W.-T. Shih, and S. Jin, "Deep Learning for Massive MIMO CSI Feedback," IEEE Wireless Commun. Lett., vol. 7, no. 5, pp. 748–751, Oct. 2018

    Introduces CsiNet — a deep-learning approach to CSI compression that can be viewed as a learned generalization of JSDM's structured dimensionality reduction.

  • Optimal user grouping and scheduling for JSDM

    J. Chen and V. K. N. Lau, "Two-Tier Precoding for FDD Multi-Cell Massive MIMO Time-Varying Interference Networks," IEEE J. Sel. Areas Commun., vol. 32, no. 6, pp. 1230–1238, Jun. 2014

    Extends JSDM to the multi-cell setting with time-varying interference, addressing practical scheduling challenges.

  • Grassmann manifold quantization and codebook design

    D. J. Love, R. W. Heath Jr., and T. Strohmer, "Grassmannian Beamforming for Multiple-Input Multiple-Output Wireless Systems," IEEE Trans. Inf. Theory, vol. 49, no. 10, pp. 2735–2747, Oct. 2003

    The mathematical framework for quantizing subspaces on the Grassmann manifold — directly relevant to understanding the chordal distance used in JSDM user grouping.

  • Statistical beamforming and long-term CSI

    A. Adhikary, E. Al Safadi, M. K. Samimi, R. Wang, G. Caire, T. S. Rappaport, and A. F. Molisch, "Joint Spatial Division and Multiplexing for mm-Wave Channels," IEEE J. Sel. Areas Commun., vol. 32, no. 6, pp. 1239–1255, Jun. 2014

    Extends JSDM to millimeter-wave channels with measurement-based channel models. Shows that JSDM's angular grouping is especially effective at mmWave.

  • Two-stage precoding with hybrid architectures

    A. Alkhateeb, G. Leus, and R. W. Heath Jr., "Limited Feedback Hybrid Precoding for Multi-User Millimeter Wave Systems," IEEE Trans. Wireless Commun., vol. 14, no. 11, pp. 6481–6494, Nov. 2015

    Connects JSDM's two-stage concept to hybrid analog-digital beamforming, where the analog stage plays the role of the pre-beamformer.

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