Papers
Topics
Authors
Recent
Gemini 2.5 Flash
Gemini 2.5 Flash
166 tokens/sec
GPT-4o
7 tokens/sec
Gemini 2.5 Pro Pro
42 tokens/sec
o3 Pro
4 tokens/sec
GPT-4.1 Pro
38 tokens/sec
DeepSeek R1 via Azure Pro
28 tokens/sec
2000 character limit reached

Zak-OTFS for Integration of Sensing and Communication (2404.04182v1)

Published 5 Apr 2024 in eess.SP, cs.IT, and math.IT

Abstract: The Zak-OTFS input/output (I/O) relation is predictable and non-fading when the delay and Doppler periods are greater than the effective channel delay and Doppler spreads, a condition which we refer to as the crystallization condition. The filter taps can simply be read off from the response to a single Zak-OTFS point (impulse) pulsone waveform, and the I/O relation can be reconstructed for a sampled system that operates under finite duration and bandwidth constraints. Predictability opens up the possibility of a model-free mode of operation. The time-domain realization of a Zak-OTFS point pulsone is a pulse train modulated by a tone, hence the name, pulsone. The Peak-to-Average Power Ratio (PAPR) of a pulsone is about $15$ dB, and we describe a general method for constructing a spread pulsone for which the time-domain realization has a PAPR of about 6dB. We construct the spread pulsone by applying a type of discrete spreading filter to a Zak-OTFS point pulsone. The self-ambiguity function of the point pulsone is supported on the period lattice ${\Lambda}{p}$, and by applying a discrete chirp filter, we obtain a spread pulsone with a self-ambiguity function that is supported on a rotated lattice ${\Lambda*}$. We show that if the channel satisfies the crystallization conditions with respect to ${\Lambda*}$ then the effective DD domain filter taps can simply be read off from the cross-ambiguity between the channel response to the spread pulsone and the transmitted spread pulsone. If, in addition, the channel satisfies the crystallization conditions with respect to the period lattice ${\Lambda}{p}$, then in an OTFS frame consisting of a spread pilot pulsone and point data pulsones, after cancelling the received signal corresponding to the spread pulsone, we can recover the channel response to any data pulsone.

Definition Search Book Streamline Icon: https://streamlinehq.com
References (18)
  1. R. V. Nee, and R. Prasad, “OFDM for Wireless Multimedia Communications,” Artech House Inc., 2000.
  2. T. Wang, J. G. Proakis, E. Masry and J. R. Zeidler, “Performance degradation of OFDM systems due to Doppler spreading,” IEEE Trans. on Wireless Commun., vol. 5, no. 6, June 2006.
  3. S. K. Mohammed, R. Hadani, A. Chockalingam and R. Calderbank, “OTFS - A mathematical foundation for communication and radar sensing in the delay-Doppler domain,” IEEE BITS the Information Theory Magazine, vol. 2, no. 2, pp. 36–55, 1 Nov. 2022.
  4. S.K. Mohammed, R. Hadani, A. Chockalingam, “OTFS Modulation: Theory and Applications,” Wiley publications and IEEE press, August 2024.
  5. Y. Rahmatallah and S. Mohan, “Peak-to-average power ratio reduction in OFDM systems: A survey and taxonomy,” IEEE Commun. Surveys Tuts., vol. 15, no. 4, pp. 1567–1592, 4th Quart., 2013.
  6. T. Thaj, E. Viterbo and Y. Hong, “General I/O relations and low-complexity universal MRC detection for all OTFS variants,” IEEE Access, vol. 10, pp. 96026-96037, 2022.
  7. R. Hadani, S. Rakib, M. Tsatsanis, A. Monk, A. J. Goldsmith, A. F. Molisch, and R. Calderbank, “Orthogonal time frequency space modulation,” Proc. IEEE WCNC’2017, pp. 1-6, Mar. 2017.
  8. R. Hadani and A. Monk, “OTFS: a new generation of modulation addressing the challenges of 5G,” arXiv:1802.02623[cs.IT], Feb. 2018.
  9. “Best Readings in Orthogonal Time Frequency Space (OTFS) and Delay Doppler Signal Processing,” June 2022. https://www.comsoc.org/publications/best-readings/orthogonal-timefrequency-space-otfs-and-delay-doppler-signal-processing
  10. G. D. Surabhi, R. M. Augustine, and A. Chockalingam, “Peak-to-average power ratio of OTFS modulation,” IEEE Commun. Lett., vol. 23, no. 6, pp. 999-1002, Jun. 2019.
  11. P. Wei, Y. Xiao, W. Feng, N. Ge, and M. Xiao, “Charactering the peak-to-average power ratio of OTFS signals: A large system analysis,” IEEE Trans. Wireless Commun., vol. 21, no. 6, pp. 3705-3720, Jun. 2022.
  12. M. N. Hossain, Y. Sugiura, T. Shimamura, and H.-G. Ryu, “DFT-spread OTFS communication system with the reductions of PAPR and nonlinear degradation,” Wireless Pers. Commun., vol. 115, no. 3, pp. 2211-2228, Aug. 2020.
  13. S. D. Howard, S. Suvorova and W. Moran, “Waveform libraries for radar tracking applications,” 2004 International Waveform Diversity & Design Conference, Edinburgh, UK, 2004.
  14. S. K. Mohammed, “Derivation of OTFS Modulation from First Principles,” IEEE Trans. on Vehicular Tech., vol. 70, no. 8, August 2021.
  15. ITU-R M.1225, “Guidelines for evaluation of radio transmission technologies for IMT-2000,” International Telecommunication Union Radio communication, 1997.
  16. P. Raviteja, K. T. .Phan, Y. Hong and E. Viterbo, “Interference Cancellation and Iterative Detection for Orthogonal Time Frequency Space Modulation,” IEEE Trans. on Wireless Comm., vol. 17, no. 10, Oct. 2018.
  17. L. Gaudio, M. Kobayashi, G. Caire and G. Colavolpe, “On the Effectiveness of OTFS for Joint Radar Parameter Estimation and Communication,” IEEE Trans. on Wireless Comm., vol. 19, no. 9, Sept. 2020.
  18. P. A. Bello, “Characterization of Randomly Time-Variant Linear Channels,” IEEE Trans. Comm. Syst., vol. 11, pp. 360-393, 1963.
Citations (4)

Summary

We haven't generated a summary for this paper yet.

X Twitter Logo Streamline Icon: https://streamlinehq.com