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This paper proposes a spectrum-efficient nonorthogonal affine frequency division multiplexing (AFDM) waveform for reliable high-mobility communications in the upcoming sixth-generation (6G) mobile systems. Our core idea is to introduce a…

Signal Processing · Electrical Eng. & Systems 2025-07-24 Yu Zhang , Qin Yi , Leila Musavian , Tongyang Xu , Zilong Liu

Conventional digital beamforming for wideband multiuser orthogonal frequency-division multiplexing (OFDM) demands numerous power-hungry components, increasing hardware costs and complexity. By contrast, the stacked intelligent metasurfaces…

Signal Processing · Electrical Eng. & Systems 2025-09-11 Zheao Li , Jiancheng An , Chau Yuen

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

To answer the challenges put out by the next generation of wireless networks (5G), important research efforts have been undertaken during the last few years to find new waveforms that are better spectrally localized and less sensitive to…

Information Theory · Computer Science 2016-03-30 Quentin Bodinier , Faouzi Bader , Jacques Palicot

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

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

In this article, we proposethe SISO-OFDM and MISO-OFDM based IDET systems, which are the counterparts of our optimal wideband waveforming strategy in [1]. The fair-throughput and the sum-throughput optimisation problems are formulated. By…

Signal Processing · Electrical Eng. & Systems 2022-12-12 Zhonglun Wang , Jie Hu , Kun Yang

Integrated sensing and communication (ISAC) is expected to be one of the major features of 6G wireless networks. In an ISAC system, communications and sensing functionalities are jointly performed using the same waveform, frequency band and…

Information Theory · Computer Science 2025-09-16 Homa Nikbakht , Husheng Li , Zhu Han , H. Vincent Poor

Orthogonal time frequency space (OTFS) is a promising technology for high-mobility wireless communications. However, the equalization realization in practical OTFS systems is a great challenge when the non-ideal rectangular waveforms are…

Information Theory · Computer Science 2019-11-20 Wenjun Xu , Tingting Zou , Hui Gao , Zhisong Bie , Zhiyong Feng , Zhiguo Ding

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

The orthogonal time frequency space (OTFS) modulation as a promising signal representation attracts growingcinterest for integrated sensing and communication (ISAC), yet its merits over orthogonal frequency division multiplexing (OFDM)…

Signal Processing · Electrical Eng. & Systems 2023-04-28 Bowen Wang , Jianchi Zhu , Xiaoming She , Peng Chen

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 sequency multiplexing (OTSM) has been recently proposed as a single-carrier waveform offering similar bit error rate to orthogonal time frequency space (OTFS) and outperforms orthogonal frequency division multiplexing (OFDM)…

Information Theory · Computer Science 2024-04-23 Abed Doosti-Aref , Christos Masouros , Xu Zhu , Ertugrul Basar , Sinem Coleri , Huseyin Arslan

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

In the context of communication-centric integrated sensing and communication (ISAC), the orthogonal frequency division multiplexing (OFDM) waveform was proven to be optimal in minimizing ranging sidelobes when random signaling is used. A…

Signal Processing · Electrical Eng. & Systems 2025-05-06 Karim A. Said , Ibraheem Alturki , Husheng Li , Elizabeth Bentley , Lingjia Liu

All practical OFDM systems require a prefix to eliminate inter-symbol interference at the receiver. Cyclic prefix (CP) and zero-padding are well-known prefix construction methods, the former being the most employed technique in practice due…

Information Theory · Computer Science 2016-01-28 T. Cooklev , H. Dogan , R. J. Cintra , H. Yildiz

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 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

Integrated sensing and communications (ISAC) is considered a key enabler to support application scenarios such as the Internet-of-Things (IoT) in which both communications and sensing play significant roles. Multi-carrier waveforms, such as…

OFDM-based waveforms with filtering or windowing functionalities are considered key enablers for a flexible air-interface design for multi-service support in future 5G systems. One candidate from this category of waveforms is pulse shaped…

Information Theory · Computer Science 2016-05-31 Zhao Zhao , Malte Schellmann , Xitao Gong , Qi Wang , Ronald Böhnke , Yan Guo
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