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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

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

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 (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 is a recent modulation scheme designed in the delay-Doppler domain. It has been shown to achieve superior performance compared to conventional multicarrier modulation schemes designed in the…

Information Theory · Computer Science 2019-02-12 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

This paper proposes a grant-free coded random access (CRA) scheme for uplink massive machine-type communications (mMTC), based on Zak-orthogonal time frequency space (Zak-OTFS) modulation in the delay-Doppler domain. The scheme is tailored…

Signal Processing · Electrical Eng. & Systems 2025-07-30 Alessandro Mirri , Venkatesh Khammammetti , Beyza Dabak , Enrico Paolini , Krishna Narayanan , Robert Calderbank

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

Linear time-varying (LTV) systems model radar scenes where each reflector/target applies a delay, Doppler shift and complex amplitude scaling to a transmitted waveform. The receiver processes the received signal using the transmitted signal…

Signal Processing · Electrical Eng. & Systems 2025-03-25 Danish Nisar , Saif Khan Mohammed , Ronny Hadani , Ananthanarayanan Chockalingam , Robert Calderbank

Recently, orthogonal time-frequency-space (OTFS) modulation is used as a promising candidate waveform for high mobility communication scenarios. In practical transmission, OTFS with rectangular pulse shaping is implemented using different…

Signal Processing · Electrical Eng. & Systems 2022-05-31 Salah Eddine Zegrar , Hüseyin Arslan

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

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

The fundamental concepts and challenges of orthogonal time frequency space (OTFS) modulation have been reviewed in Part I of this three-part tutorial. In this second part, we provide an overview of the state-of-the-art transceiver designs…

Information Theory · Computer Science 2022-09-13 Shuangyang Li , Weijie Yuan , Zhiqiang Wei , Robert Schober , Giuseppe Caire

This paper proposes a novel modulation technique called globally filtered orthogonal time frequency space (GF-OTFS) which integrates single-carrier frequency division multiple access (SC-FDMA)-based delay-Doppler representation with…

Signal Processing · Electrical Eng. & Systems 2025-01-24 Jialiang Zhu , Mohsen Bayat , Arman Farhang

Orthogonal time frequency space (OTFS) is a modulation technique which is robust against the disruptive effects of doubly-selective channels. In this paper, we perform an experimental study of OTFS by a real-time software defined radio…

Information Theory · Computer Science 2023-11-21 Yi Xien Yap , Neil Bhushan , Onur Dizdar , Ata Sattarzadeh , David Redgate , Venkateswara Battula , Stephen Wang

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. When…

Signal Processing · Electrical Eng. & Systems 2024-10-24 Jinu Jayachandran , Rahul Kumar Jaiswal , Saif Khan Mohammed , Ronny Hadani , Ananthanarayanan Chockalingam , Robert Calderbank

Orthogonal time-frequency space (OTFS) modulation is a recently proposed waveform for efficient data transfer in high-speed vehicular scenarios. The use of rectangular pulse shape in OTFS results in high out of band (OoB) radiation, which…

Information Theory · Computer Science 2019-10-24 Shashank Tiwari , Suvra Sekhar Das

In this work, we study the time-frequency (TF) localization characteristics of the prototype pulse of orthogonal delay-Doppler (DD) division multiplexing modulation, namely, the DD plane orthogonal pulse (DDOP). The TF localization…

Signal Processing · Electrical Eng. & Systems 2024-12-19 Akram Shafie , Jinhong Yuan , Nan Yang , Hai Lin

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

We provide a performance evaluation of orthogonal time frequency space (OTFS) modulation in cell-free massive MIMO (multiple-input multiple-output) systems. By leveraging the inherent sparsity of the delay-Doppler (DD) representation of…

Information Theory · Computer Science 2022-04-13 Mohammadali Mohammadi , Hien Quoc Ngo , Michail Matthaiou