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We present two modulation and detection techniques that are designed to allow for efficient equalization for channels that exhibit an arbitrary Doppler spread but no delay spread. These techniques are based on principles similar to…

Signal Processing · Electrical Eng. & Systems 2020-01-08 Thomas Dean , Mainak Chowdhury , Nicole Grimwood , Andrea Goldsmith

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

4G/5G wireless standards use orthogonal frequency division multiplexing (OFDM) which is robust to frequency selectivity. Equalization is possible with a single tap filter, and low-complexity equalization makes OFDM an attractive physical…

Signal Processing · Electrical Eng. & Systems 2025-09-25 Sandesh Rao Mattu , Nishant Mehrotra , Saif Khan Mohammed , Venkatesh Khammammetti , Robert Calderbank

Orthogonal time frequency space (OTFS) modulation is a recently proposed delay-Doppler (DD) domain communication scheme, which has shown promising performance in general wireless communications, especially over high-mobility channels. In…

Information Theory · Computer Science 2023-01-31 Shuangyang Li , Jinhong Yuan , Paul Fitzpatrick , Taka Sakurai , Giuseppe Caire

Orthogonal Time Frequency Space (OTFS) modulation has recently garnered attention for its robustness in high-mobility wireless communication environments. In OTFS, the data symbols are mapped to the Doppler-Delay (DD) domain. In this paper,…

Signal Processing · Electrical Eng. & Systems 2026-03-31 Kailong Wang , Athina Petropulu

The recently proposed orthogonal time frequency space (OTFS) modulation multiplexes data symbols in the delay-Doppler (DD) domain. Since the range and velocity, which can be derived from the delay and Doppler shifts, are the parameters of…

Signal Processing · Electrical Eng. & Systems 2023-06-21 Kecheng Zhang , Weijie Yuan , Shuangyang Li , Fan Liu , Feifei Gao , Pingzhi Fan , Yunlong Cai

In this paper, we rethink delay Doppler channels (also called doubly selective channels). We prove that no modulation schemes (including the current active VOFDM/OTFS) can compensate a non-trivial Doppler spread well. We then discuss some…

Signal Processing · Electrical Eng. & Systems 2025-04-01 Xiang-Gen Xia

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

Next-generation vehicular networks are expected to provide the capability of robust environmental sensing in addition to reliable communications to meet intelligence requirements. A promising solution is the integrated sensing and…

Signal Processing · Electrical Eng. & Systems 2023-11-28 Weijie Yuan , Lin Zhou , Saeid K. Dehkordi , Shuangyang Li , Pingzhi Fan , Giuseppe Caire , H. Vincent Poor

The Future wireless communication systems face the challenging task of simultaneously providing high quality of service (QoS) and broadband data transmission, while also minimizing power consumption, latency, and system complexity. Although…

Information Theory · Computer Science 2024-10-03 Amina Darghouthi , Abdelhakim Khlifi , Hmaied Shaiek , Fatma Ben Salah , Belgacem Chibani

Orthogonal delay-Doppler division multiplexing (ODDM) modulation offers a promising solution to the problem of severe Doppler effects in low earth orbit (LEO) satellites communications. It has been suggested in the recent literature that…

Information Theory · Computer Science 2025-07-31 Yu Liu , Cunhua Pan , Tantao Gong , Yinlu Wang , Ming Chen

Sixth-generation (6G) communication systems are poised to accommodate high data-rate wireless communication services in highly dynamic channels, with applications including high-speed trains, unmanned aerial vehicles, and intelligent…

Hardware Architecture · Computer Science 2023-10-17 Murat Isik , Malvin Nkomo , Anup Das , Kapil R. Dandekar

Orthogonal time frequency space (OTFS) modulation outperforms orthogonal frequency division multiplexing (OFDM) in high-mobility scenarios. One challenge for OTFS massive MIMO is downlink channel estimation due to the large number of base…

Information Theory · Computer Science 2019-06-26 Wenqian Shen , Linglong Dai , Jianping An , Pingzhi Fan , Robert W. Heath,

This study examines the coexistence of orthogonal time-frequency space (OTFS) modulation with current fourth- and fifth-generation (4G/5G) wireless communication systems that primarily use orthogonal frequency-division multiplexing (OFDM)…

Signal Processing · Electrical Eng. & Systems 2024-10-28 Akram Shafie , Jinhong Yuan , Yuting Fang , Paul Fitzpatrick , Taka Sakurai

Orthogonal time frequency space (OTFS) modulation is a robust candidate waveform for future wireless systems, particularly in high-mobility scenarios, as it effectively mitigates the impact of rapidly time-varying channels by mapping…

Signal Processing · Electrical Eng. & Systems 2026-01-12 Meiwen Men , Tao Zhou , Kaifeng Bao , Zhiyang Guo , Yongning Qi , Liu Liu , Bo Ai

Recently proposed orthogonal time frequency space (OTFS) modulation has been considered as a promising candidate for accommodating various emerging communication and sensing applications in high-mobility environments. In this paper, we…

Information Theory · Computer Science 2021-01-12 Shuangyang Li , Weijie Yuan , Zhiqiang Wei , Jinhong Yuan

The orthogonal delay-Doppler (DD) division multiplexing (ODDM) modulation has recently been proposed as a promising solution for ensuring reliable communications in high mobility scenarios. In this work, we investigate the time-frequency…

Signal Processing · Electrical Eng. & Systems 2024-10-28 Akram Shafie , Jinhong Yuan , Nan Yang , Hai Lin

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

In this paper, we propose a Doppler pre-compensation scheme for high-mobility orthogonal frequency division multiplexing (OFDM) uplink, where a high-speed terminal transmits signals to the base station (BS). Considering that the…

Information Theory · Computer Science 2017-04-24 Wei Guo , Weile Zhang , Pengcheng Mu , Feifei Gao , Bobin Yao

The principle of orthogonal time-frequency-space (OTFS) signaling is firstly analyzed, followed by explaining that OTFS embeds another signaling scheme referred to as orthogonal short-time Fourier (OSTF). Then, the relationship among OTFS,…

Information Theory · Computer Science 2024-01-26 Lie-Liang Yang