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This paper introduces a new two-dimensional modulation technique called Orthogonal Time Frequency Space (OTFS) modulation. OTFS has the novel and important feature of being designed in the delay-Doppler domain. When coupled with a suitable…

This letter is the first part of a three-part tutorial on orthogonal time frequency space (OTFS) modulation, which is a promising candidate waveform for future wireless networks. This letter introduces and compares two popular…

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

Orthogonal time frequency space (OTFS) modulation is a recently proposed multi-carrier transmission scheme, which innovatively multiplexes the information symbols in the delay-Doppler (DD) domain instead of the conventional time-frequency…

Information Theory · Computer Science 2022-08-26 Shuangyang Li

Orthogonal time frequency space (OTFS) modulation is a 2-dimensional (2D) modulation scheme designed in the delay-Doppler domain, unlike traditional modulation schemes which are designed in the time-frequency domain. Through a series of 2D…

Information Theory · Computer Science 2018-02-06 K. R. Murali , A. Chockalingam

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

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

In this paper we introduce a new 2D modulation technique called OTFS (Orthogonal Time Frequency & Space) that transforms information carried in the Delay-Doppler coordinate system to the familiar time-frequency domain utilized by…

Information Theory · Computer Science 2016-08-11 Anton Monk , Ronny Hadani , Michail Tsatsanis , Shlomo Rakib

Orthogonal time-frequency space (OTFS) modulation has emerged as a powerful wireless communication technology that is specifically designed to address the challenges of high-mobility scenarios and significant Doppler effects. Unlike…

Signal Processing · Electrical Eng. & Systems 2025-12-16 Emir Aslandogan , Haci Ilhan , Burak Ahmet Ozden , Erdogan Aydin , Ertugrul Basar , Miaowen Wen , Marco Di Renzo , Vincent Poor

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

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

Orthogonal Frequency Division Multiplexing (OFDM) is the dominant waveform in modern wireless systems, but suffers performance degradation in high-mobility environments due to Doppler-induced inter-carrier interference and unreliable…

Information Theory · Computer Science 2026-04-17 S. Ashwin Hebbar , Sravan Kumar Ankireddy , Harshithanjani Athi , Brandon Nguyen , Pramod Viswanath , Hyeji Kim

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

Orthogonal Time Frequency Space (OTFS) is a novel modulation scheme designed in the Doppler-delay domain to fully exploit time and frequency diversity of general time-varying channels. In this paper, we present a novel discrete-time…

Information Theory · Computer Science 2017-10-24 Ahmad RezazadehReyhani , Arman Farhang , Mingyue Ji , Rong Rong Chen , Behrouz Farhang-Boroujeny

In this work, we propose a deep learning (DL)-based approach that integrates a state-of-the-art algorithm with a time-frequency (TF) learning framework to minimize overall latency. Meeting the stringent latency requirements of 6G orthogonal…

Signal Processing · Electrical Eng. & Systems 2025-03-12 Mauro Marchese , Henk Wymeersch , Paolo Spallaccini , Stefano Chinnici , Pietro Savazzi

The sixth-generation (6G) wireless networks are envisioned to provide a global coverage for the intelligent digital society of the near future, ranging from traditional terrestrial to non-terrestrial networks, where reliable communications…

Information Theory · Computer Science 2021-02-04 Zhiqiang Wei , Weijie Yuan , Shuangyang Li , Jinhong Yuan , Ganesh Bharatula , Ronny Hadani , Lajos Hanzo

Orthogonal Time Frequency Space (OTFS) modulation is a recently proposed scheme for time-varying narrowband channels in terrestrial radio-frequency communications. Underwater acoustic (UWA) and ultra-wideband (UWB) communication systems, on…

Signal Processing · Electrical Eng. & Systems 2022-05-10 Arunkumar K. P. , Chandra R. Murthy

Orthogonal time frequency space (OTFS) modulation stands out as a promising waveform for sixth generation (6G) and beyond wireless communication systems, offering superior performance over conventional methods, particularly in high-mobility…

Signal Processing · Electrical Eng. & Systems 2026-01-21 Emin Akpinar , Emir Aslandogan , Burak Ahmet Ozden , Haci Ilhan , Erdogan Aydin

The fundamental concepts and challenges of orthogonal time frequency space (OTFS) modulation have been reviewed in Part I of this three-part tutorial. In this second part, we provide an overview of the state-of-the-art transceiver designs…

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

The standardization of the sixth-generation (6G) has recently commenced to address the rapidly growing demands for enhanced wireless network services. Nevertheless, existing wireless systems, particularly at the physical layer waveform…

The Orthogonal-Time-Frequency-Space (OTFS) signaling is known to be resilient to doubly-dispersive channels, which impacts high mobility scenarios. On the other hand, the Orthogonal-Frequency-Division-Multiplexing (OFDM) waveforms enjoy the…

Signal Processing · Electrical Eng. & Systems 2023-10-20 I. Zakir Ahmed , Hamid R. Sadjadpour
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