References & Further Reading

References

1. J. A. C. Bingham, Multicarrier Modulation for Data Transmission: An Idea Whose Time Has Come, 1990

   The canonical engineering survey of OFDM. Still the best introduction for practicing engineers.

2. J. G. Proakis and M. Salehi, Digital Communications, McGraw-Hill, 5th ed., 2007

   Chapter 11 covers OFDM and the clean LTI case at textbook level; Ch. 14 extends to WSSUS fading.

3. M. Russell and G. L. Stüber, Interchannel interference analysis of OFDM in a mobile environment, 1995

   Derives the sinc-leakage formula for OFDM ICI under Doppler. The ICI expression we use in §2 is from this paper.

4. T. Wang, J. G. Proakis, J. R. Zeidler, Analysis of ICI in OFDM with Doppler and CFO, 2006

   Thorough analysis of ICI under combined Doppler and carrier-frequency offset. Provides the SINR-ceiling analysis of §2.

5. W. C. Jakes Jr., Microwave Mobile Communications, Wiley, 1974

   The classical fading-channel reference. Contains the Jakes Doppler spectrum used in §1.

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

   Establishes the DD signaling lattice framework that this chapter contrasts with OFDM.

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

   The OTFS detection paper. Implicitly compares OTFS with OFDM by deriving the sparse DD channel matrix that OFDM cannot exploit.

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

   §IV contrasts OFDM and OTFS DD footprints — the single-column result of §3 is derived here.

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

   The cell-free OTFS performance paper. Quantifies pilot-overhead savings and net throughput gains relative to OFDM.

10. 3GPP, 3GPP TS 38.211: NR; Physical channels and modulation, 2024

    Specifies OFDM numerologies for 5G NR. Referenced for the numerical comparison in §1.

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

    Ch. 3.3 gives the diversity-order analysis referenced in §4.

12. 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 series. Section II gives a readable derivation of the DD/TF contrast.

13. A. F. Molisch, Wireless Communications, Wiley, 2nd ed., 2011

    Chapters 19-20 provide detailed OFDM coverage, including pilot design and mobility handling.

Further Reading

• Windowed OFDM and its performance in mobility

  Ronzitti, Sanguinetti, Bellomo, 'Windowed OFDM for LEO satellite downlink' (2022); Zemen & Mecklenbräuker (2005)

  Practical experience with windowed OFDM, including the failure modes in deep-Doppler regimes like LEO.

• ICI cancellation algorithms in OFDM

  Jeon, Chang, Cho, 'An equalization technique for orthogonal frequency-division multiplexing systems in time-variant multipath channels' (IEEE Trans. Comm. 1999)

  A classical ICI-cancellation approach that illustrates the complexity cost (order-$M^3$ per symbol).

• 5G NR mobility support

  Dahlman, Parkvall, Sköld, *5G NR: The Next Generation Wireless Access Technology* (2nd ed., 2020)

  Covers the numerology choice trade-offs made for 5G NR mobility targets. Complements §1.

• Historical survey of ICI mitigation

  Al-Dhahir, Sayed, 'The finite-length multi-input multi-output MMSE-DFE' (IEEE TSP 2000)

  Shows how MIMO-OFDM's dense equalization scales — a counterpoint to MIMO-OTFS's sparse structure.

• Fundamental limits of mobile OFDM

  Durisi et al., 'Short-packet transmission over a bidirectional massive MIMO link' (IEEE Trans. Comm. 2016)

  Explores the finite-blocklength and mobility limits of OFDM-based systems, giving context to the OTFS pitch.