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Multicarrier Modulation on Delay-Doppler Plane: Achieving Orthogonality with Fine Resolutions

Information Theory 2022-06-28 v1 Signal Processing math.IT

Abstract

In this paper, we investigate the design of a novel multicarrier (MC) modulation on delay-Doppler (DD) plane, to couple the modulated signal with a doubly-selective channel having DD resolutions. A key challenge for the design of DD plane MC modulation is to find a realizable pulse orthogonal with respect to the DD plane's fine resolutions. To this end, we first indicate that a feasible DD plane MC modulation is essentially a type of staggered multitone modulation. Then, we propose an orthogonal delay-Doppler division multiplexing (ODDM) modulation, and design the corresponding transmit pulse. Most importantly, we prove that the proposed transmit pulse is orthogonal with respect to the DD plane's resolutions and therefore a realizable DD plane orthogonal pulse does exist. Finally, we demonstrate the superior performance of the proposed ODDM modulation in terms of out-of-band radiation and bit error rate.

Keywords

Cite

@article{arxiv.2206.13382,
  title  = {Multicarrier Modulation on Delay-Doppler Plane: Achieving Orthogonality with Fine Resolutions},
  author = {Hai Lin and Jinhong Yuan},
  journal= {arXiv preprint arXiv:2206.13382},
  year   = {2022}
}

Comments

This paper was presented at the IEEE ICC 2022

R2 v1 2026-06-24T12:05:31.777Z