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High mobility environment leads to severe Doppler effects and poses serious challenges to the conventional physical layer based on the widely popular orthogonal frequency division multiplexing (OFDM). The recent emergence of orthogonal time…

Signal Processing · Electrical Eng. & Systems 2025-02-14 Qinwen Deng , Yao Ge , Zhi Ding

This paper compares orthogonal time frequency space (OTFS) modulation and single-carrier frequency division multiple access (SC-FDMA). It shows that these are equivalent except for a set of linear phase shifts, applied to the…

Signal Processing · Electrical Eng. & Systems 2024-02-13 Arman Farhang , Mohsen Bayat

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

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

In this paper, we study the pulse shaping for delay-Doppler (DD) communications. We start with constructing a basis function in the DD domain following the properties of the Zak transform. Particularly, we show that the constructed basis…

Information Theory · Computer Science 2023-11-23 Shuangyang Li , Weijie Yuan , Zhiqiang Wei , Jinhong Yuan , Baoming Bai , Giuseppe Caire

The recently proposed orthogonal delay-Doppler division multiplexing (ODDM) modulation has been demonstrated to enjoy excellent reliability over doubly-dispersive channels. However, most of the prior analysis tends to ignore the interactive…

Signal Processing · Electrical Eng. & Systems 2025-08-05 Xuehan Wang , Jinhong Yuan , Jintao Wang , Zhi Sun

The recent proposed orthogonal time frequency space (OTFS) modulation shows signifcant advantages than conventional orthogonal frequency division multiplexing (OFDM) for high mobility wireless communications. However, a challenging problem…

Information Theory · Computer Science 2022-07-25 Xiangxiang Li , Haiyan Wang , Yao Ge , Xiaohong Shen , Yuanyuan Lei

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) technique is a two-dimensional modulation method that multiplexes information symbols in the delay-Doppler (DD) domain. OTFS combats high Doppler shift existing in high speed wireless communication.…

Information Theory · Computer Science 2026-02-18 Omid Abbassi Aghda , Mohammad Javad Omidi , Hamid Saeedi-Sourck

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

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 2-dimensional (2D) modulation technique designed in the delay-Doppler domain. A key premise behind OTFS is the transformation of a time varying multipath channel into an almost non-fading 2D…

Information Theory · Computer Science 2019-04-02 G. D. Surabhi , Rose Mary Augustine , A. Chockalingam

Orthogonal time frequency space (OTFS) is a promising waveform in high mobility scenarios for it fully exploits the time-frequency diversity using a discrete Fourier transform (DFT) based two dimensional spreading. However, it trades off…

Signal Processing · Electrical Eng. & Systems 2023-11-22 Pu Yuan , Jin Liu , Dajie Jiang , Fei Qin

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

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

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

Integrated localization and communication systems aim to reuse communication waveforms for simultaneous data transmission and localization, but delay resolution is fundamentally limited by the available bandwidth. In practice, large…

Signal Processing · Electrical Eng. & Systems 2026-01-27 Jialun Kou , Achiel Colpaert , Zhuangzhuang Cui , Sofie Pollin

Orthogonal time frequency space (OTFS)/vector OFDM (VOFDM) is widely regarded as a promising waveform for next-generation mobile communications. However, its spectral characteristics are not yet fully understood. The bandwidth allocation…

Signal Processing · Electrical Eng. & Systems 2026-03-05 Wei Wang , Xiang-Gen Xia

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

We investigate the relationship between Orthogonal Time Frequency Space (OTFS) modulation and Orthogonal Short Time Fourier (OSTF) signaling. OTFS was recently proposed as a new scheme for high Doppler scenarios and builds on OSTF. We first…

Information Theory · Computer Science 2021-09-14 Akbar M Sayeed