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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

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 modulation (OTFS) has been recently proposed to achieve time and frequency diversity, especially in linear time-variant (LTV) channels with large Doppler frequencies. The idea is based on the precoding of the…

Signal Processing · Electrical Eng. & Systems 2019-07-11 Ahmad Nimr , Marwa Chafii , Maximilian Matthe , Gerhard Fettweis

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

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 and space (OTFS) modulation is a promising technology that satisfies high Doppler requirements for future mobile systems. OTFS modulation encodes information symbols and pilot symbols into the two-dimensional (2D)…

Information Theory · Computer Science 2021-01-22 Noriyuki Hashimoto , Noboru Osawa , Kosuke Yamazaki , Shinsuke Ibi

Recently, a new precoding technique called orthogonal time-frequency signaling (OTFS) has been proposed for time- and frequency-selective communication channels. OTFS precodes a data frame with a complete set of spreading sequences and…

Information Theory · Computer Science 2017-10-30 Thomas Zemen , Markus Hofer , David Loeschenbrand

The recently proposed orthogonal time frequency space (OTFS) modulation, which is a typical Delay-Doppler (DD) communication scheme, has attracted significant attention thanks to its appealing performance over doubly-selective channels. In…

Information Theory · Computer Science 2024-03-22 Shuangyang Li , Peter Jung , Weijie Yuan , Zhiqiang Wei , Jinhong Yuan , Baoming Bai , Giuseppe Caire

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

Orthogonal time frequency space (OTFS) modulation was shown to provide significant error performance advantages over orthogonal frequency division multiplexing (OFDM) in delay--Doppler channels. In order to detect OTFS modulated data, the…

Information Theory · Computer Science 2018-08-28 P. Raviteja , Khoa T. Phan , Yi Hong

Orthogonal time frequency space (OTFS) modulation has been confirmed to provide significant performance advantages against Doppler in high-mobility scenarios. The core feature of OTFS is that the time-variant channel is converted into a…

Information Theory · Computer Science 2021-03-31 Haoyan Liu , Yanming Liu , Min Yang , Qiongjie Zhang

In Zak-OTFS (orthogonal time frequency space) modulation the carrier waveform is a pulse in the delay-Doppler (DD) domain, formally a quasi-periodic localized function with specific periods along delay and Doppler. When the channel delay…

Signal Processing · Electrical Eng. & Systems 2025-07-21 Saif Khan Mohammed , Amit Kumar Pathak , Muhammad Ubadah , Ronny Hadani , Ananthanarayanan Chockalingam , Robert Calderbank

We investigate the relationship between Orthogonal Time Frequency Space (OTFS) modulation and Orthogonal Short Time Fourier (OSTF) signaling. OTFS was recently proposed as a new scheme for high Doppler scenarios and builds on OSTF. We first…

Information Theory · Computer Science 2021-09-14 Akbar M Sayeed

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 is a recently developed multi-carrier multi-slot transmission scheme for wireless communications in high-mobility environments. In this paper, the error performance of coded OTFS modulation…

Information Theory · Computer Science 2020-10-27 Shuangyang Li , Jinhong Yuan , Weijie Yuan , Zhiqiang Wei , Baoming Bai , Derrick Wing Kwan Ng

Orthogonal time frequency space (OTFS) is a framework for communication and active sensing that processes signals in the delay-Doppler (DD) domain. This paper explores three key features of the OTFS framework, and explains their value to…

Signal Processing · Electrical Eng. & Systems 2023-02-20 Saif Khan Mohammed , Ronny Hadani , Ananthanarayanan Chockalingam , Robert Calderbank

The orthogonal time frequency space (OTFS) modulation has emerged as a promising modulation scheme for high mobility wireless communications. To enable efficient OTFS detection in the delay-Doppler (DD) domain, the DD domain channels need…

Information Theory · Computer Science 2021-06-08 Fei Liu , Zhengdao Yuan , Qinghua Guo , Zhongyong Wang , Peng Sun

Orthogonal signaling or Nyquist signaling limits the number of information symbols transmitted in bandwidth $B$ and time $T$ to be $BT$, the time-bandwidth product. Transmitting more than $BT$ symbols leads to loss of orthogonality. The…

Signal Processing · Electrical Eng. & Systems 2025-08-27 Sandesh Rao Mattu , Nishant Mehrotra , Robert Calderbank

Orthogonal time frequency space (OTFS) is a 2-dimensional (2D) modulation technique designed in the delay-Doppler domain. A key premise behind OTFS is the transformation of a time varying multipath channel into an almost non-fading 2D…

Information Theory · Computer Science 2019-04-02 G. D. Surabhi , Rose Mary Augustine , A. Chockalingam

High-mobility scenarios will be a critical part of 6G systems. Since the widely deployed orthogonal frequency division multiplexing (OFDM) waveform suffers from subcarrier orthogonality loss under severe Doppler spread, delay-Doppler domain…

Signal Processing · Electrical Eng. & Systems 2026-05-12 Yiyan Ma , Bo Ai , Jinhong Yuan , Shuangyang Li , Qingqing Cheng , Zhenguo Shi , Weijie Yuan , Zhiqiang Wei , Akram Shafie , Guoyu Ma , Yunlong Lu , Mi Yang , Zhangdui Zhong