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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 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

Delay-Doppler waveform design has been considered as a promising solution to achieve reliable communication under high-mobility channels for the space-air-ground-integrated networks (SAGIN). In this paper, we introduce the cyclic…

Signal Processing · Electrical Eng. & Systems 2025-01-16 Haoran Yin , Jiaojiao Xiong , Yu Zhou , Chi Zhang , Di Zhang , Xizhang Wei , Yanqun Tang

The emergence of alternative multiplexing domains to the time-frequency domains, e.g., the delay-Doppler and chirp domains, offers a promising approach for addressing the challenges posed by complex propagation environments and…

Signal Processing · Electrical Eng. & Systems 2025-10-15 Abdelali Arous , Hamza Haif , Arman Farhang , Huseyin Arslan

Orthogonal time frequency space (OTFS) is a strong candidate waveform for sixth generation wireless communication networks (6G), which can effectively handle time varying wireless channels. In this paper, we analyze the effect of fractional…

Signal Processing · Electrical Eng. & Systems 2025-01-31 Sanoopkumar P. S , Muyiwa Balogun , Liam Barry , Arman Farhang

This chapter is motivated by the need for a rigorous and comprehensive analysis of the Doppler effects encountered by electromagnetic and acoustic signals across a diverse spectrum of modern applications. These include land mobile…

Signal Processing · Electrical Eng. & Systems 2026-02-11 Lie-Liang Yang

The recently proposed orthogonal time frequency space (OTFS) modulation multiplexes data symbols in the delay-Doppler (DD) domain. Since the range and velocity, which can be derived from the delay and Doppler shifts, are the parameters of…

Signal Processing · Electrical Eng. & Systems 2023-06-21 Kecheng Zhang , Weijie Yuan , Shuangyang Li , Fan Liu , Feifei Gao , Pingzhi Fan , Yunlong Cai

The recently proposed orthogonal time frequency space (OTFS) modulation, which is a typical Delay-Doppler (DD) communication scheme, has attracted significant attention thanks to its appealing performance over doubly-selective channels. In…

Information Theory · Computer Science 2024-03-22 Shuangyang Li , Peter Jung , Weijie Yuan , Zhiqiang Wei , Jinhong Yuan , Baoming Bai , Giuseppe Caire

Doppler effect is a fundamental phenomenon that appears in wave propagation, where a moving observer experiences dilation or contraction of wavelength of a wave. It also appears in radio frequency (RF) wireless communication when there…

Information Theory · Computer Science 2019-04-09 Dushyantha A. Basnayaka , Tharmalingam Ratnarajah

Conventional delay-Doppler (DD) communication and sensing systems require transmitting pilot frames at every channel coherence time interval in order to keep track of channel variations at the cost of spectral efficiency. In this paper, we…

Signal Processing · Electrical Eng. & Systems 2026-04-09 Nishant Mehrotra , Sandesh Rao Mattu , Robert Calderbank

Channel measurements are the prerequisite for applying emerging transmission technologies and designing communication systems. In sixth-generation (6G) system, conventional time or frequency domain channel sounding methods cannot directly…

Signal Processing · Electrical Eng. & Systems 2025-10-23 Kaifeng Bao , Tao Zhou , Chaoyi Li , Liu Liu , Bo Ai

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, which is a delay-Doppler (DD) domain multi-carrier (DDMC) modulation scheme based on the DD domain orthogonal pulse (DDOP), is studied. We first revisit…

Information Theory · Computer Science 2026-05-11 Hai Lin , Jinhong Yuan , Wei Yu , Jingxian Wu , Lajos Hanzo

In the 6G era, space-air-Ground integrated networks (SAGIN) are anticipated to deliver global coverage, necessitating support for a diverse array of emerging applications in high-mobility, hostile environments. Under such conditions,…

Information Theory · Computer Science 2023-07-20 Weijie Yuan , Shuangyang Li , Zhiqiang Wei , Yuanhao Cui , Jiamo Jiang , Haijun Zhang , Pingzhi Fan

The delay-Doppler (DD) domain modulation has been regarded as one of the most competitive candidates to support wireless communications for emerging high-mobility applications in the sixth-generation mobile networks. Unfortunately, most of…

Signal Processing · Electrical Eng. & Systems 2026-03-04 Xuehan Wang , Jintao Wang , Hai Lin , Jinhong Yuan , Xu Shi , Hengyu Zhang , Jian Song

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

Delay-Doppler alignment modulation (DDAM) is a novel technique to mitigate time-frequency doubly selective channels by leveraging the high spatial resolution offered by large antenna arrays and multi-path sparsity of millimeter wave…

Signal Processing · Electrical Eng. & Systems 2024-07-09 Xianda Liu , Zhiwen Zhou , Zhiqiang Xiao , Yong Zeng

In this paper, we rethink delay Doppler channels (also called doubly selective channels). We prove that no modulation schemes (including the current active VOFDM/OTFS) can compensate a non-trivial Doppler spread well. We then discuss some…

Signal Processing · Electrical Eng. & Systems 2025-04-01 Xiang-Gen Xia

By multiplexing information symbols in the delay-Doppler (DD) domain, orthogonal time frequency space (OTFS) is a promising candidate for future wireless communication in high-mobility scenarios. In addition to the superior communication…

Signal Processing · Electrical Eng. & Systems 2023-06-21 Kecheng Zhang , Zhongjie Li , Weijie Yuan , Yunlong Cai , Feifei Gao

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
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