References & Further Reading

References

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

   The foundational diversity theorem for OTFS. Proves the $P$-order diversity result, central to this chapter.

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

   §VII provides the initial diversity analysis extended by Surabhi et al. (2019).

3. L. Zheng and D. N. C. Tse, Diversity and Multiplexing: A Fundamental Tradeoff in Multiple-Antenna Channels, 2003

   The classical Zheng-Tse DMT. Adapted to OTFS in §4 of this chapter.

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

   Ch. 3.1 gives the PEP framework used in §1. Ch. 5 covers the DMT at textbook level.

5. T. Thaj, E. Viterbo, Diversity-Multiplexing Tradeoff of OTFS Modulation, 2022

   Establishes the OTFS DMT result we derive in §4.

6. S. Das, W. Yuan, R. Schober, Capacity of OTFS Modulation Over Doubly-Selective Channels, 2024

   Rigorous capacity analysis of OTFS. Shows ergodic-capacity equivalence with OFDM and outage-capacity dominance of OTFS.

7. 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; §VI contains initial BER simulation results.

8. 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 framework; §V analyzes detection performance under the Zak formulation.

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

   Cell-free OTFS performance analysis — extends the single-link diversity results to distributed systems. Referenced in §5.

10. V. Tarokh, N. Seshadri, A. R. Calderbank, Space-Time Codes for High Data Rate Wireless Communication, 1998

    The PEP-based code-design methodology adapted to OTFS in §1.

11. W. Yuan, Z. Wei, Y. Liu, R. Schober, S. Li, L. Hanzo, Orthogonal Time Frequency Space Modulation — Part I: Fundamentals and Challenges, 2023

    Part I of the Yuan-Schober tutorial. Includes performance comparisons at §IV.

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

    Extends the diversity analysis to static (fractional-Doppler) channels; referenced in Exercise 15.

Further Reading

• Classical diversity-combining theory

  Tse, Viswanath, *Fundamentals of Wireless Communication* (Cambridge 2005), Ch. 3

  Background on PEP, diversity order, and rate-reliability tradeoffs. OTFS's diversity analysis is a specialization of this framework.

• Zheng-Tse DMT in detail

  Zheng, Tse (2003), §III-IV

  Full proof of the fundamental DMT for MIMO Rayleigh, which we adapt to OTFS.

• OTFS coded performance

  Kim, Ha, Choi, 'OTFS-LDPC Coded Modulation' (IEEE TCOM 2022)

  Coded OTFS performance analysis. Complements this chapter's uncoded analysis.

• Fractional-Doppler effects on diversity

  Raviteja, Phan, Hong, Viterbo (2020); Zhu, Zhao, Li, Wei (2022)

  How fractional Doppler modifies the diversity result. Chapter 10 of this book covers this in depth.

• ISAC performance advantages

  Yuan, Schober, Caire, 'OTFS — Part III: ISAC' (IEEE Comm. Mag. 2024)

  How the diversity of this chapter translates to superior sensing performance. Chapter 12 develops this further.