References & Further Reading

References

  1. A. RezazadehReyhani, A. Farhang, M. Ji, R. R. Chen, B. Farhang-Boroujeny, Analysis of Discrete-Time MIMO OFDM-Based Orthogonal Time Frequency Space Modulation, 2018

    Foundational OTFS pulse-shaping analysis. Reference for §§1-4.

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

    Original OTFS framework with pulse-shape discussion.

  3. G. Matz, H. Bölcskei, F. Hlawatsch, Time-Frequency Foundations of Communications: Concepts and Tools, 2013

    Time-frequency foundations of communication. Reference for bi-orthogonality in §2.

  4. I. Daubechies, A. Grossmann, Y. Meyer, Painless Nonorthogonal Expansions, 1986

    Foundational Weyl-Heisenberg frame theory. Reference for §2 existence of bi-orthogonal pairs.

  5. D. Gabor, Theory of Communication, 1946

    Gabor's original paper. Uncertainty principle and optimal pulse. Foundational reference for §1.

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

    Classical windows reference. Sidelobe catalog used in §3.

  7. B. Farhang-Boroujeny, OFDM Versus Filter Bank Multicarrier, 2011

    FBMC background. Foundation for filter-bank OTFS in §4.

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

    OTFS detection under specific pulse shapes. Cross-references.

  9. D. N. C. Tse, P. Viswanath, Fundamentals of Wireless Communication, Cambridge University Press, 2005

    OFDM/pulse-shape fundamentals cross-reference.

  10. 3GPP, 3GPP TS 38.211: NR Physical Channels and Modulation, 2024

    5G NR physical layer. OOBE mask reference for §3.

  11. A. Wyner, Signaling in the Time-Bandwidth Product Context, 1975

    Foundational paper on signaling at critical time-bandwidth product.

  12. S. W. Golomb, Signal Design for Good Correlation, Cambridge University Press, 1999

    Signal design principles. Reference for ambiguity function shaping.

Further Reading

Additional resources on pulse shaping and filter-bank multicarrier.

  • Classical pulse shaping

    Proakis, *Digital Communications* (McGraw-Hill, 2008); Sklar, *Digital Communications: Fundamentals and Applications* (Prentice Hall, 2001)

    Canonical treatment of pulse shaping in single-carrier and multicarrier systems.

  • FBMC and filter-bank multicarrier

    Farhang-Boroujeny (IEEE SPM 2011); Bellanger et al., *FBMC Multicarrier Systems* (IEEE 2012)

    Filter-bank foundations relevant to FB-OTFS.

  • Time-frequency analysis

    Gröchenig, *Foundations of Time-Frequency Analysis* (Birkhäuser 2001); Mallat, *A Wavelet Tour of Signal Processing* (Academic Press 2008)

    Mathematical foundations of Gabor analysis and frames.

  • PAPR reduction

    Jiang, Wu (IEEE TBC 2008); Li, Cimini, *Effects of Clipping and Filtering on the Performance of OFDM* (IEEE TCOM 1998)

    PAPR mitigation techniques applicable to OTFS.

  • Ambiguity functions and signal design

    Levanon, *Radar Signals* (Wiley 2004); Rihaczek, *Principles of High-Resolution Radar* (McGraw-Hill 1969)

    Ambiguity function theory — relevant to bi-orthogonality analysis.

  • 6G waveform research

    Wild, Kapsokavvalis, Schotten (IEEE ComMag 2022); Mitola, *Beyond 5G* (IEEE Spectrum 2024)

    Forward-looking discussions of pulse-shape choices for 6G.