References & Further Reading

References

  1. L. Gaudio, M. Kobayashi, G. Caire, G. Colavolpe, On the Effectiveness of OTFS for Joint Radar Parameter Estimation and Communication, 2020

    CommIT contribution: establishes the OTFS ambiguity function's thumbtack shape and the CRLB matching. Foundation of §2-4.

  2. 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. Frames OTFS as natural ISAC waveform.

  3. M. I. Skolnik, Introduction to Radar Systems, McGraw-Hill, 3rd ed., 2001

    The canonical radar textbook. Ch. 11 covers ambiguity functions and waveform design.

  4. N. Levanon and E. Mozeson, Radar Signals, Wiley, 2004

    Comprehensive treatment of radar waveforms and their ambiguity functions. Ch. 3 is foundational for §1.

  5. P. M. Woodward, Probability and Information Theory, with Applications to Radar, Pergamon Press, 1953

    The original 1953 monograph introducing the ambiguity function and its volume-invariance theorem. Historical reference.

  6. H. L. Van Trees, Detection, Estimation, and Modulation Theory, Vol. III, Wiley, 2001

    Vol. III covers radar and sonar signal processing. §9.3 treats the time-bandwidth product and ambiguity theory.

  7. H. L. Van Trees, Detection, Estimation, and Modulation Theory, Vol. I, Wiley, 2nd ed., 2002

    Vol. I covers the CRLB fundamentals used in §3.

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

    The OTFS modulation framework.

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

    Zak-OTFS formulation. §VII-VIII discuss OTFS as a radar sensing waveform.

  10. M. F. Keskin, V. R. Ragi, V. Barvinek, H. Wymeersch, Joint Radar-Communications using OFDM-based Waveforms, 2021

    OFDM-radar background. Used for comparison in §4.

  11. F. Liu, G. Caire, On the Fundamental Tradeoff of ISAC, 2023

    Information-theoretic treatment of ISAC. Context for why OTFS is a natural ISAC waveform.

  12. P. Raviteja, Y. Hong, E. Viterbo, E. Biglieri, Effective Diversity of OTFS Modulation, 2019

    Oversampling techniques used in §5.

Further Reading

Deeper resources on OTFS radar and ambiguity theory.

  • Classical radar waveform design

    Richards, *Fundamentals of Radar Signal Processing* (2nd ed., 2014), Ch. 4; Levanon, Mozeson (2004)

    Background on matched filtering, ambiguity functions, and pulse-Doppler processing.

  • Woodward's ambiguity theory

    Woodward, *Probability and Information Theory* (1953), Ch. 7; Papoulis, *Signal Analysis* (1977), Ch. 8

    Original mathematical framework for the ambiguity function. Useful historical and mathematical background.

  • Joint radar-communications (pre-OTFS)

    Sturm, Wiesbeck, *Waveform Design and Signal Processing for OFDM Radar* (IEEE Proc. 2011)

    OFDM-radar baseline that OTFS improves upon.

  • OTFS for automotive ISAC

    Wei, Yuan, Li, Hanzo, 'Orthogonal Time Frequency Space Modulation for Integrated Automotive Radar and Communication' (IEEE TVT 2022)

    Practical automotive ISAC application of OTFS radar theory.

  • Fractional-Doppler super-resolution for sensing

    Candès, Fernandez-Granda, *Super-Resolution from Noisy Data* (2014); Zhu, Zhao, Li, Wei (IEEE TVT 2022)

    Super-resolution estimation beyond the grid spacing — essential for fine Doppler in OTFS radar.

ExercisesCh 12 →