Rectangular pulse-shaped OTFS with fractional delay and Doppler shift for MU-MIMO systems

Junjuan Feng Feng, Hien-Quoc Ngo, Michalis Matthaiou

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We consider the uplink of an orthogonal time frequency space (OTFS)-based multiuser multiple-input multiple output (MU-MIMO) system. For this setup, we consider, for the first time ever, the more practical rectangular pulse-shaped functions along with the fractional delay and Doppler shift. We first provide the exact OTFS-based input-output relationship. Subsequently, the orthogonal frequency division multiplexing (OFDM)-based OTFS input-output approximation is derived by reconstructing the continuous time domain signal via a sinc function. Based on these two results, an important performance metric, namely, the pairwise error probability (PEP) with maximum-likelihood (ML) and nearest-neighbor (NN) decoding rules, is analyzed. A series of interesting insights are obtained from the analysis: i) for our system setting, the effective channel matrix is not doubly-block circulant or sparse structured anymore, while the OFDM-based approximation result consists of a block-Toeplitz with Toeplitz block (BTTB) structured matrix; ii) the practical rectangular pulses suffer from a significant performance degradation.

Original languageEnglish
Title of host publicationProceedings of the IEEE International Conference on Communications, ICC 2023
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages7
ISBN (Electronic)9798350333077
ISBN (Print)9798350333084
Publication statusPublished - 23 Oct 2023
EventIEEE International Conference on Communications 2023 - Rome, Italy
Duration: 28 May 202301 Jun 2023

Publication series

NameIEEE International Conference on Communications: Proceedings
ISSN (Print)1550-3607
ISSN (Electronic)1938-1883


ConferenceIEEE International Conference on Communications 2023
Abbreviated titleIEEE ICC 2023
Internet address


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