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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

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

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

In passive radar, a network of distributed sensors exploit signals from so-called Illuminators-of-Opportunity to detect and localize targets. We consider the case where the IO signal is available at each receiver node through a reference…

Signal Processing · Electrical Eng. & Systems 2026-05-19 Mats Viberg , Daniele Gerosa , Tomas McKelvey , Patrik Dammert , Thomas Eriksson

We elaborate on the recently proposed orthogonal time frequency space (OTFS) modulation technique, which provides significant advantages over orthogonal frequency division multiplexing (OFDM) in Doppler channels. We first derive the…

Information Theory · Computer Science 2017-09-28 P. Raviteja , Khoa T. Phan , Qianyu Jin , Yi Hong , Emanuele Viterbo

In this paper, we propose a novel integrated sensing and communication (ISAC) transmission framework based on the spatially-spread orthogonal time frequency space (SS-OTFS) modulation by considering the fact that communication channel…

Information Theory · Computer Science 2021-09-02 Shuangyang Li , Weijie Yuan , Chang Liu , Zhiqiang Wei , Jinhong Yuan , Baoming Bai , Derrick Wing Kwan Ng

We develop a theory for waveform-diverse moving-target synthetic-aperture radar, in the case in which a single moving antenna is used for both transmitting and receiving. We assume that the targets (scattering objects) are moving linearly,…

Classical Physics · Physics 2011-05-17 Margaret Cheney , Brett Borden

Orthogonal Time Frequency Space (OTFS) modulation exploits the sparsity of Delay-Doppler domain channels, making it highly effective in high-mobility scenarios. Its accurate channel estimation supports integrated sensing and communication…

Signal Processing · Electrical Eng. & Systems 2025-05-13 Guangyu Lei , Yanduo Qiao , Tianhao Liang , Weijie Yuan , Tingting Zhang

We present a novel framework for line-of-sight (LoS) delay-Doppler (DD) estimation in dense scattering propagation environments. We present two time-frequency (TF) domain pilot sequences inspired by the Zadoff-Chu sequence that exhibit…

Signal Processing · Electrical Eng. & Systems 2026-04-27 Aadarsh Devanand , Praful D. Mankar

This paper introduces a sensing-centric joint communication and millimeter-wave radar paradigm to facilitate collaboration among intelligent vehicles. We first propose a chirp waveform-based delay-Doppler quadrature amplitude modulation…

Signal Processing · Electrical Eng. & Systems 2025-12-23 Zhuoran Li , Zhen Gao , Sheng Chen , Dusit Niyato , Zhaocheng Wang , George K. Karagiannidis

Integrated sensing and communication (ISAC) has emerged as a pivotal technology for next-generation wireless communication and radar systems, enabling high-resolution sensing and high-throughput communication with shared spectrum and…

Signal Processing · Electrical Eng. & Systems 2026-02-16 Henglin Pu , Xuefeng Wang , Ajay Kumar , Lu Su , Husheng Li

This study investigates a communication-centric integrated sensing and communication system that utilizes orthogonal time-frequency space (OTFS) modulated signals emitted by low Earth orbit satellites to estimate the parameters of space…

Signal Processing · Electrical Eng. & Systems 2026-05-14 Tong Ding , Luca Venturino , Emanuele Grossi

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

Orthogonal time frequency space (OTFS) modulation is a two-dimensional modulation scheme designed in the delay-Doppler (DD) domain, exhibiting superior performance over orthogonal frequency division multiplexing (OFDM) modulation in…

Information Theory · Computer Science 2025-12-09 Tengfei Qi , Yifei Yang , Xiong Deng , Zhinan Sun , Ziqiang Gao , Xihua Zou , Wei Pan , Lianshan Yan

Delay-Doppler multicarrier modulation (DDMC) techniques have been among the central topics of research for high-Doppler channels. However, a complete transition to DDMC-based waveforms is not yet practically feasible. This is because 5G NR…

Signal Processing · Electrical Eng. & Systems 2026-01-28 Danilo Lelin Li , Ramtin Rabiee , Arman Farhang

We address target detection in a single Delay-Doppler cell using spatially distributed two-channel passive radars. An unknown illuminator of opportunity (IO) is assumed to emit a waveform lying in a known low-dimensional subspace (e.g.,…

Signal Processing · Electrical Eng. & Systems 2025-10-03 Nandan Sriranga , Haodong Yang , Venkata Gandikota , Pramod K. Varshney

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 detection and parameter estimation of moving targets is one of the most important tasks in radar. Arrays of randomly distributed antennas have been popular for this purpose for about half a century. Yet, surprisingly little rigorous…

Numerical Analysis · Mathematics 2015-06-12 Thomas Strohmer , Haichao Wang

This paper proposes an off-grid channel estimation scheme for orthogonal time-frequency space (OTFS) systems adopting the sparse Bayesian learning (SBL) framework. To avoid channel spreading caused by the fractional delay and Doppler shifts…

Information Theory · Computer Science 2021-01-15 Zhiqiang Wei , Weijie Yuan , Shuangyang Li , Jinhong Yuan , Derrick Wing Kwan Ng

Orthogonal Time Frequency Space (OTFS) modulation has recently attracted significant interest due to its potential for enabling reliable communication in high-mobility environments. However, the effectiveness of OTFS receivers relies on the…

Signal Processing · Electrical Eng. & Systems 2026-02-11 Xiaoqi Zhang , Zhitong Ni , Weijie Yuan , J. Andrew Zhang , Tony Q. S. Quek
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