References & Further Reading

References

  1. P. Raviteja, K. T. Phan, Y. Hong, E. Viterbo, OTFS Performance on Static Multipath Channels, 2020

    Extends OTFS performance analysis to fractional-Doppler channels. Key reference for the IDI kernel derivation in §1-2.

  2. G. D. Surabhi, A. Chockalingam, G. Caire, Diversity Analysis of OTFS Under Fractional Doppler, 2020

    CommIT contribution: diversity theorem for fractional-Doppler OTFS. Proves $d_{\text{frac}} = \min(P, 2k_{\max}+1)$.

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

    Baseline integer-Doppler analysis. Chapter 4 of this book references.

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

    Introduces oversampled DD grid techniques used in §4.

  5. T. Zemen and C. F. Mecklenbrauker, Time-Variant Channel Estimation Using Discrete Prolate Spheroidal Sequences, 2005

    Classical BEM (DPSS basis) for time-varying channels. Basis for the CE-BEM in §3.

  6. G. B. Giannakis and C. Tepedelenlioglu, Basis Expansion Models and Diversity Techniques for Blind Identification of Time-Varying Channels, 1998

    Foundational BEM paper. Complex-exponential basis introduced here.

  7. F. J. Harris, On the Use of Windows for Harmonic Analysis with the Discrete Fourier Transform, 1978

    The canonical reference for window functions. Table 1 gives ENBW and sidelobe parameters 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. §VIII covers fractional Doppler in the Zak framework.

  10. W. Zhu, M. Zhao, S. Li, Z. Wei, Fractional Doppler Effects in OTFS Modulation: An Equivalent Channel Representation, 2022

    Detailed analysis of fractional-Doppler effects and mitigation techniques. Complementary to Raviteja 2020.

  11. W. Yuan, Z. Wei, Y. Liu, R. Schober, S. Li, L. Hanzo, Orthogonal Time Frequency Space Modulation — Part II: Receiver Design, 2023

    Tutorial coverage including fractional-Doppler detection. Part II §IV-C.

  12. 3GPP, 3GPP TR 38.901: Study on channel model for frequencies from 0.5 to 100 GHz, 2023

    Standardized channel models with realistic fractional-Doppler statistics.

Further Reading

Additional resources on fractional-Doppler OTFS.

  • Classical BEM for time-varying channels

    Zemen, Mecklenbräuker, *DPSS-based BEM* (2005); Tugnait, *Time-varying channel estimation* (2000)

    The classical basis-expansion framework that OTFS uses for fractional Doppler. Essential for understanding §3.

  • Window design beyond Hamming/Blackman

    Harris, *Windows for DFT* (1978); Nuttall, *Blackman-Harris windows* (1981)

    The full catalog of window functions with their ENBW, sidelobe levels, and scalloping losses.

  • Nonuniform DFT for fractional offsets

    Potts, Steidl, Tasche, *Fast Fourier Transforms for Nonequispaced Data* (2001)

    Advanced technique for handling fractional offsets without oversampling — a research direction.

  • Compressed-sensing super-resolution

    Candès, Fernandez-Granda, *Super-Resolution from Noisy Data* (2014)

    Theoretical framework for super-resolving fractional offsets below the grid spacing.

  • LEO satellite fractional Doppler

    Buzzi, Caire, Colavolpe et al., *LEO Satellite OTFS* (IEEE TVT 2024)

    CommIT contribution on LEO OTFS; handles extreme fractional Doppler with BEM + oversampling. Chapter 18.

ExercisesCh 11 →