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Related papers: Low-Complexity Equalization of Zak-OTFS in the Fre…

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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

Wireless users with different characteristics will be expected to share spectrum in next generation communication networks. One of the great strengths of wireless networks based on Orthogonal Frequency Division Multiplexing (OFDM) is the…

Signal Processing · Electrical Eng. & Systems 2025-07-22 Imran Ali Khan , Saif Khan Mohammed , Ronny Hadani , Ananthanarayanan Chockalingam , Robert Calderbank

Wireless communications over fast fading channels are challenging, requiring either frequent channel tracking or complicated signaling schemes such as orthogonal time frequency space (OTFS) modulation. In this paper, we propose…

Information Theory · Computer Science 2020-11-30 Hongyang Zhang , Xiaojing Huang , J. Andrew Zhang

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 framework for communications and active sensing that processes signals in the delay-Doppler (DD) domain. It is informed by 6G propagation environments, where Doppler spreads measured in kHz make…

Information Theory · Computer Science 2024-02-16 Beyza Dabak , Venkatesh Khammammetti , Saif Khan Mohammed , Robert Calderbank

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

Zak-Orthogonal Time Frequency Space (Zak-OTFS) modulation has been shown to achieve significantly better performance compared to the standardized Cyclic-Prefix Orthogonal Frequency Division Multiplexing (CP-OFDM), in high delay/Doppler…

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

Millimeter-wave (mmWave) communication offers vast bandwidth for next-generation wireless systems but faces severe path loss, Doppler effects, and hardware impairments. Orthogonal Time Frequency Space (OTFS) modulation has emerged as a…

Signal Processing · Electrical Eng. & Systems 2025-11-12 Sabarinath Ramachandran , Venkatesh Khammammetti , Prasanthi Maddala , Narayan Mandayam , Ivan Seskar , Robert Calderbank

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

In orthogonal time frequency space (OTFS) modulation, Zak transform approach is a natural approach for converting information symbols multiplexed in the DD domain directly to time domain for transmission, and vice versa at the receiver.…

Information Theory · Computer Science 2023-03-23 Vineetha Yogesh , Vighnesh S Bhat , Sandesh Rao Mattu , 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

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

Orthogonal time frequency space (OTFS) modulation offers superior robustness to high-mobility channels compared to conventional orthogonal frequency-division multiplexing (OFDM) waveforms. However, its explicit delay-Doppler (DD) domain…

Signal Processing · Electrical Eng. & Systems 2026-04-03 Junyao Zheng , Chung-Hsuan Tung , Yuncheng Yao , Nishant Mehrotra , Sandesh Mattu , Zhenzhou Qi , Danyang Zhuo , Robert Calderbank , Tingjun Chen

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

Zak-transform based orthogonal time frequency space (Zak-OTFS) is a delay-Doppler (DD) domain modulation scheme in which the signal processing is carried out in the DD domain. The channel when viewed in the DD domain is predictable.…

Signal Processing · Electrical Eng. & Systems 2025-07-21 Sandesh Rao Mattu , Nishant Mehrotra , Robert Calderbank

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

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…

Across the world, there is growing interest in new waveforms, Zak-OTFS in particular, and over-the-air implementations are starting to appear. The choice between OFDM and Zak-OTFS is not so much a choice between waveforms as it is an…

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
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