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Orthogonal time frequency space (OTFS) modulation is a recently introduced multiplexing technique designed in the 2-dimensional (2D) delay-Doppler domain suited for high-Doppler fading channels. OTFS converts a doubly-dispersive channel…

Information Theory · Computer Science 2018-05-08 M. Kollengode Ramachandran , A. Chockalingam

Zak-OTFS is modulation scheme where signals are formed in the delay-Doppler (DD) domain, converted to the time domain (DD) for transmission and reception, then returned to the DD domain for processing. We describe how to use the same…

Signal Processing · Electrical Eng. & Systems 2025-09-30 Nishant Mehrotra , Sandesh Rao Mattu , Saif Khan Mohammed , Ronny Hadani , Robert Calderbank

Orthogonal Time Frequency Space ({OTFS}) modulation offers significant advantages over Orthogonal Frequency Division Multiplexing ({OFDM}), particularly in high speed environments. Hence, we consider {OTFS} transmission over high-Doppler…

Signal Processing · Electrical Eng. & Systems 2026-05-12 Xinyu Feng , Chao Zhang , Mohammed EL-Hajjar , Chao Xu , Lajos Hanzo

This paper presents an analysis of the Orthogonal Time Frequency Space (OTFS) modulation scheme when applied to realistic vehicular channel situations. OTFS modulates symbols in delay-Doppler domain, hoping to exploit diversity in both. The…

Signal Processing · Electrical Eng. & Systems 2021-01-26 Thomas Blazek , Danilo Radovic

The transceiver operations in the delay-Doppler (DD) domain in Zak-OTFS modulation, including DD domain filtering at the transmitter and receiver, involve twisted convolution operation. The twisted convolution operations give rise to…

Information Theory · Computer Science 2025-04-29 Arpan Das , Fathima Jesbin , Ananthanarayanan Chockalingam

Orthogonal time frequency space (OTFS) is a strong candidate waveform for sixth generation wireless communication networks (6G), which can effectively handle time varying wireless channels. In this paper, we analyze the effect of fractional…

Signal Processing · Electrical Eng. & Systems 2025-01-31 Sanoopkumar P. S , Muyiwa Balogun , Liam Barry , Arman Farhang

The recently proposed orthogonal time frequency space (OTFS) modulation multiplexes data symbols in the delay-Doppler (DD) domain. Since the range and velocity, which can be derived from the delay and Doppler shifts, are the parameters of…

Signal Processing · Electrical Eng. & Systems 2023-06-21 Kecheng Zhang , Weijie Yuan , Shuangyang Li , Fan Liu , Feifei Gao , Pingzhi Fan , Yunlong Cai

In the 6G era, space-air-Ground integrated networks (SAGIN) are anticipated to deliver global coverage, necessitating support for a diverse array of emerging applications in high-mobility, hostile environments. Under such conditions,…

Information Theory · Computer Science 2023-07-20 Weijie Yuan , Shuangyang Li , Zhiqiang Wei , Yuanhao Cui , Jiamo Jiang , Haijun Zhang , Pingzhi Fan

Integrated data and energy transfer (IDET) is an advanced technology for enabling energy sustainability for massively deployed low-power electronic consumption components. However, the existing work of IDET using the…

Signal Processing · Electrical Eng. & Systems 2023-02-06 Jie Hu , Ke Xu , Luping Xiang , Kun Yang

Orthogonal time frequency space (OTFS) modulation can effectively convert a doubly dispersive channel into an almost non-fading channel in the delay-Doppler domain. However, one critical issue for OTFS is the very high complexity of…

Information Theory · Computer Science 2019-09-04 Junqiang Cheng , Hui Gao , Wenjun Xu , Zhisong Bie , Yueming Lu

The first two parts of this tutorial on orthogonal time frequency space (OTFS) modulation have discussed the fundamentals of delay-Doppler (DD) domain communications as well as some advanced technologies for transceiver design. In this…

Information Theory · Computer Science 2022-09-13 Weijie Yuan , Zhiqiang Wei , Shuangyang Li , Robert Schober , Giuseppe Caire

This paper proposes a grant-free coded random access (CRA) scheme for uplink massive machine-type communications (mMTC), based on Zak-orthogonal time frequency space (Zak-OTFS) modulation in the delay-Doppler domain. The scheme is tailored…

Signal Processing · Electrical Eng. & Systems 2025-07-30 Alessandro Mirri , Venkatesh Khammammetti , Beyza Dabak , Enrico Paolini , Krishna Narayanan , Robert Calderbank

Orthogonal time frequency space (OTFS) technique is a two-dimensional modulation method that multiplexes information symbols in the delay-Doppler (DD) domain. OTFS combats high Doppler shift existing in high speed wireless communication.…

Information Theory · Computer Science 2026-02-18 Omid Abbassi Aghda , Mohammad Javad Omidi , Hamid Saeedi-Sourck

We provide a performance evaluation of orthogonal time frequency space (OTFS) modulation in cell-free massive MIMO (multiple-input multiple-output) systems. By leveraging the inherent sparsity of the delay-Doppler (DD) representation of…

Information Theory · Computer Science 2022-04-13 Mohammadali Mohammadi , Hien Quoc Ngo , Michail Matthaiou

Orthogonal Time Frequency Space (OTFS) is a novel framework that processes modulation symbols via a time-independent channel characterized by the delay-Doppler domain. The conventional waveform, orthogonal frequency division multiplexing…

Signal Processing · Electrical Eng. & Systems 2021-07-20 Zhou Zhou , Lingjia Liu , Jiarui Xu , Robert Calderbank

Integrated sensing and communication (ISAC) through Zak-transform-based orthogonal time frequency space (Zak-OTFS) modulation is a promising solution for high-mobility scenarios. Realizing accurate bistatic sensing and robust communication…

Signal Processing · Electrical Eng. & Systems 2026-01-08 Kecheng Zhang , Weijie Yuan , Maria Sabrina Greco

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…

Signal Processing · Electrical Eng. & Systems 2024-10-23 Jinu Jayachandran , Muhammad Ubadah , Saif Khan Mohammed , Ronny Hadani , Ananthanarayanan Chockalingam , Robert Calderbank

In this work, we derive a equivalent delay-Doppler channel matrix of the Orthogonal Time Frequency Space (OTFS) modulation that has not been studied in previous literature. It has the similar structure as the banded channel matrix of OFDM…

Information Theory · Computer Science 2017-09-11 Li Li , Hua Wei , Yao Huang , Yao Yao , Weiwei Ling , Gong Chen , Peng Li , Yunlong Cai

Recently, orthogonal time-frequency-space (OTFS) modulation is used as a promising candidate waveform for high mobility communication scenarios. In practical transmission, OTFS with rectangular pulse shaping is implemented using different…

Signal Processing · Electrical Eng. & Systems 2022-05-31 Salah Eddine Zegrar , Hüseyin Arslan

Orthogonal time frequency space (OTFS) modulation was proposed to tackle the destructive Doppler effects in wireless communications, with potential applications to many other areas. In this paper, we investigate its application to radar…

Information Theory · Computer Science 2019-01-29 P. Raviteja , Khoa T. Phan , Yi Hong , Emanuele Viterbo