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In this paper, we consider the problem of estimating the delay-Doppler (DD) domain input-output (I/O) relation in Zak-OTFS modulation, which is needed for signal detection. Two approaches, namely, model-dependent and model-free approaches,…

Information Theory · Computer Science 2025-10-13 Sai Pradeep Muppaneni , Vineetha Yogesh , A. Chockalingam

The Zak-transform-based Orthogonal Time Frequency Space (Zak-OTFS), offers a robust framework for high-mobility communications by simplifying the input-output (I/O) relation to a twisted convolution. While this structure theoretically…

Signal Processing · Electrical Eng. & Systems 2026-02-10 Kecheng Zhang , Weijie Yuan , Yonghui Li

The orthogonal time frequency space (OTFS) signal is considered a promising solution for high-mobility wireless environments. It manages Doppler effects by utilizing delay-Doppler (DD) domain processing. However, the relatively long OTFS…

Signal Processing · Electrical Eng. & Systems 2026-01-01 Borui Du , Yumeng Zhang , Christos Masouros , Bruno Clerckx

In Orthogonal Time Frequency Space (OTFS) modulation, information symbols are embedded in the delay-Doppler (DD) domain instead of the time-frequency (TF) domain. n order to ensure compatibility with existing OFDM systems (e.g. 4G LTE),…

Information Theory · Computer Science 2024-10-30 Saif Khan Mohammed

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

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

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 paper, we consider the problem of spread pilot design and effective channel estimation in multiple-input multiple-output Zak-OTFS (MIMO-Zak-OTFS) with superimposed spread pilots, where data and spread pilot signals are superimposed…

Information Theory · Computer Science 2025-10-24 Abhishek Bairwa , Ananthanarayanan Chockalingam

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

This work proposes a superimposed pilot (SP)-based channel estimation and data detection framework for orthogonal time-frequency space (OTFS) scheme, wherein low-powered pilots are superimposed on to data symbols in the delay-Doppler…

Signal Processing · Electrical Eng. & Systems 2020-10-29 Himanshu B. Mishra , Prem Singh , Abhishek K. Prasad , Rohit Budhiraja

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

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

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

Integrated sensing and communication (ISAC) through Zak-transform-based orthogonal time frequency space (Zak-OTFS) modulation is a promising solution for high-mobility scenarios. Realizing accurate bistatic sensing and robust communication…

Signal Processing · Electrical Eng. & Systems 2026-01-08 Kecheng Zhang , Weijie Yuan , Maria Sabrina Greco

We conceive a novel channel estimation and data detection scheme for OTFS-modulated faster-than-Nyquist (FTN) transmission over doubly selective fading channels, aiming for enhancing the spectral efficiency and Doppler resilience. The…

Signal Processing · Electrical Eng. & Systems 2026-01-21 Zekun Hong , Shinya Sugiura , Chao Xu , Lajos Hanzo

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…

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

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

Reconfigurable intelligent surfaces (RIS) and orthogonal time-frequency space (OTFS) modulation have gained attention in recent wireless research. RIS technology aids communication by reflecting the incident electromagnetic waves towards…

Information Theory · Computer Science 2022-10-26 Vighnesh S Bhat , Gandhodi Harshavardhan , A. Chockalingam

Looking towards 6G wireless systems, frequency bands like the sub-terahertz (sub-THz) band (100 GHz - 300 GHz) are gaining traction for their promises of large available swaths of bandwidth to support the ever-growing data demands. However,…

Signal Processing · Electrical Eng. & Systems 2025-04-23 Claire Parisi , Venkatesh Khammammetti , Robert Calderbank , Lauren Huie