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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…

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 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

Future wireless communication systems must simultaneously address multiple challenges to ensure accurate data detection, deliver high Quality of Service (QoS), adding enable a high data transmission with low system design. Additionally,…

Information Theory · Computer Science 2024-10-03 Amina Darghouthi , Abdelhakim Khlifi , Belgacem Chibani

Opportunistic spectrum access is based on channel state information and can lead to important performance improvements for the underlying communication systems. On the other hand adaptive modulation is also based on channel state…

Networking and Internet Architecture · Computer Science 2012-11-26 F. Foukalas , G. T. Karetsos , G. K. Karagiannidis

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) 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 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

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

The emergence of alternative multiplexing domains to the time-frequency domains, e.g., the delay-Doppler and chirp domains, offers a promising approach for addressing the challenges posed by complex propagation environments and…

Signal Processing · Electrical Eng. & Systems 2025-10-15 Abdelali Arous , Hamza Haif , Arman Farhang , Huseyin Arslan

Orthogonal time frequency space (OTFS) modulation is a two-dimensional signaling technique that has recently emerged in the literature to tackle the time-varying (TV) wireless channels. OTFS deploys the Doppler-delay plane to multiplex the…

Information Theory · Computer Science 2017-10-03 Arman Farhang , Ahmad RezazadehReyhani , Linda E. Doyle , Behrouz Farhang-Boroujeny

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

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…

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

We communicate over wireless channels by first estimating and then equalizing the effective channel. In Zak-OTFS (orthogonal time frequency space) modulation the carrier waveform is a pulse in the delay-Doppler (DD) domain, formally a…

Signal Processing · Electrical Eng. & Systems 2025-07-08 Saif Khan Mohammed , Sandesh Rao Mattu , Nishant Mehrotra , Venkatesh Khammammetti , Robert Calderbank

In orthogonal time frequency space (OTFS) modulation, information-carrying symbols reside in the delay-Doppler (DD) domain. By operating in the DD domain, an appealing property for communication arises: time-frequency (TF) dispersive…

Signal Processing · Electrical Eng. & Systems 2022-12-07 Franz Lampel , Alex Alvarado , Frans M. J. Willems

Orthogonal time frequency space (OTFS) is a two-dimensional modulation technique that uses the delay-Doppler (DD) domain and is a candidate for providing robust, high-capacity wireless communications for envisioned 6G and beyond networks.…

Signal Processing · Electrical Eng. & Systems 2025-10-24 Burak Ahmet Ozden , Erdogan Aydin , Emir Aslandogan , Haci Ilhan , Ertugrul Basar , Miaowen Wen , Marco Di Renzo , Vincent Poor

Delay-Doppler alignment modulation (DDAM) is a novel technique to mitigate time-frequency doubly selective channels by leveraging the high spatial resolution offered by large antenna arrays and multi-path sparsity of millimeter wave…

Signal Processing · Electrical Eng. & Systems 2024-07-09 Xianda Liu , Zhiwen Zhou , Zhiqiang Xiao , Yong Zeng

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

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
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