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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

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

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 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

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

This letter is the first part of a three-part tutorial on orthogonal time frequency space (OTFS) modulation, which is a promising candidate waveform for future wireless networks. This letter introduces and compares two popular…

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

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…

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

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

Orthogonal Time Frequency Space (OTFS) modulation has been recently proposed to be robust to channel induced Doppler shift in high mobility wireless communication systems. However, to the best of our knowledge, none of the prior works on…

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

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

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

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…

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

Waveforms with ideal ambiguity functions are fundamental to integrated sensing and communication, to active sensing (radar), and to uplink multiple access. We describe a general method of constructing waveforms using the discrete Zak…

Signal Processing · Electrical Eng. & Systems 2025-04-01 Nishant Mehrotra , Sandesh Rao Mattu , Robert Calderbank

Zak-OTFS (orthogonal time frequency space) modulation is a communication framework that parameterizes the wireless channel in the delay-Doppler (DD) domain, where the parameters map directly to physical attributes of the scatterers that…

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

Orthogonal Time Frequency Space (OTFS) is a novel modulation scheme designed in the Doppler-delay domain to fully exploit time and frequency diversity of general time-varying channels. In this paper, we present a novel discrete-time…

Information Theory · Computer Science 2017-10-24 Ahmad RezazadehReyhani , Arman Farhang , Mingyue Ji , Rong Rong Chen , Behrouz Farhang-Boroujeny

Orthogonal time frequency space (OTFS) modulation has emerged as a promising candidate to overcome the performance degradation of orthogonal frequency division multiplexing (OFDM), which are commonly encountered in high-mobility wireless…

Signal Processing · Electrical Eng. & Systems 2026-02-02 Yushi Lei , Yusha Liu , Guanghui Liu , Lei Wan , Kun Yang

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

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
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