References & Further Reading

References

  1. R. Hadani, S. Rakib, M. Tsatsanis, A. Monk, A. J. Goldsmith, A. F. Molisch, R. Calderbank, Orthogonal Time Frequency Space Modulation, 2017

    Defines the ISFFT precoder + Heisenberg modulator as the canonical OTFS transmitter. §III is the central reference for this chapter.

  2. P. Raviteja, K. T. Phan, Y. Hong, E. Viterbo, Interference Cancellation and Iterative Detection for Orthogonal Time Frequency Space Modulation, 2018

    The end-to-end DD-to-DD input-output relation used throughout §4 is derived here. Thm. 1 in particular.

  3. S. K. Mohammed, R. Hadani, A. Chockalingam, G. Caire, OTFS — A Mathematical Foundation for Communication and Radar Sensing in the Delay-Doppler Domain, 2022

    The Zak-OTFS formulation and its equivalence to Hadani-Rakib under critical-lattice bi-orthogonal pulses. The CommIT version of OTFS mathematics.

  4. G. B. Folland, Harmonic Analysis in Phase Space, Princeton University Press, 1989

    The Heisenberg-Weyl operator framework underlying the Heisenberg transform. Ch. 1 is essential.

  5. K. Gröchenig, Foundations of Time-Frequency Analysis, Birkhäuser, 2001

    Thm. 11.2.4 states the unitarity of the Heisenberg transform under critical-lattice bi-orthogonal pulses, used in §2.

  6. W. Yuan, R. Schober, G. Caire, Orthogonal Time Frequency Space (OTFS) Modulation — Part III: ISAC and Potential Applications, 2024

    Part III of the Yuan-Schober-Caire tutorial, covering the ISAC-OTFS transceiver which reuses the framework of this chapter.

  7. M. Mohammadi, H. Q. Ngo, M. Matthaiou, G. Caire, Cell-Free Massive MIMO with OTFS Modulation, 2023

    Applies the OTFS transceiver of this chapter in a cell-free massive MIMO setting; the reference for the CommIT deployment results in Chapter 17.

  8. G. D. Surabhi, R. Madhava Augustine, A. Chockalingam, On the Diversity of Uncoded OTFS Modulation in Doubly-Dispersive Channels, 2019

    Proves the DD diversity advantage enabled by the OTFS transceiver of this chapter. Used in Chapter 9.

  9. T. Strohmer and S. Beaver, Optimal OFDM Design for Time-Frequency Dispersive Channels, 2003

    Pulse-shape design for TF-dispersive channels; relevant context for §3 of this chapter.

  10. O. Şahin, A. Şahin, H. Arslan, A Survey on Multicarrier Communications: Prototype Filters, Lattice Structures, and Implementation Aspects, 2013

    Comprehensive survey of multicarrier modulation families (OFDM, FBMC, GFDM, OTFS precursors). Context for OTFS in a broader design space.

  11. M. K. Ramachandran, A. Chockalingam, MIMO-OTFS in High-Doppler Fading Channels: Signal Detection and Channel Estimation, 2018

    Extends the OTFS transceiver to MIMO. Same framework; added spatial dimensions. Relevant to Chapter 16.

  12. 3GPP, 3GPP TR 38.912: 6G Study Item, 2024

    Ongoing 3GPP study item examining candidate waveforms for 6G, including OTFS-like precoding. Context for the deployment discussion in §5.

Further Reading

Deeper resources on OTFS transceiver design and implementation.

  • OTFS pulse shaping for practical deployments

    Raviteja, Phan, Hong, 'Practical pulse-shaping waveforms for reduced-cyclic-prefix OTFS' (IEEE TVT 2019)

    Concrete pulse designs that reduce CP overhead without sacrificing detection performance. Complements §3.

  • Implementation on 5G NR silicon

    Thaj, Viterbo, 'Low-complexity receiver for OTFS modulation' (IEEE Trans. Wireless Comm. 2020)

    Practical receiver architectures compatible with 5G NR modems, verifying the 'software precoder' claim of §5.

  • Zak-OTFS vs Hadani-Rakib OTFS in detail

    Mohammed, Hadani, Chockalingam, Caire (2022), §V-VIII

    The side-by-side comparison of the two formulations, including when they diverge and the implications for receiver design.

  • Joint OTFS-OFDM adaptive systems

    Yuan et al., 'Adaptive OTFS-OFDM signaling for high-mobility wireless networks' (2023)

    Recent work on selecting OTFS or OFDM per frame based on estimated Doppler — relevant to the deployment discussion of §5.

  • Information-theoretic perspective on OTFS

    Das, Yuan, Schober, 'Capacity of OTFS modulation over doubly-selective channels' (IEEE Trans. IT 2024)

    Recent capacity-theoretic comparison of OTFS and OFDM, complementing the diversity analysis coming in Chapter 9.

ExercisesCh 7 →