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The primary objective of this paper is to establish a generalized framework for pulse-shaping on the delay-Doppler plane. To this end, we classify delay-Doppler pulse-shaping techniques into two types, namely, circular and linear…

Signal Processing · Electrical Eng. & Systems 2023-11-14 Mohsen Bayat , Arman Farhang

As a new type of multicarrier (MC) scheme built upon the recently discovered delay-Doppler domain orthogonal pulse (DDOP), orthogonal delay-Doppler division multiplexing (ODDM) aims to address the challenges of waveform design in linear…

Information Theory · Computer Science 2025-04-16 Hai Lin

Inspired by the orthogonal time frequency space (OTFS) modulation, in this paper, we consider designing a multicarrier (MC) modulation on delay-Doppler (DD) plane, to couple the modulated signal with a doubly-selective channel having DD…

Information Theory · Computer Science 2023-11-09 Hai Lin , Jinhong Yuan

Orthogonal delay-Doppler (DD) division multiplexing (ODDM) modulation has recently emerged as a promising paradigm for ensuring reliable communications in doubly-selective channels. This work investigates the spectra and orthogonality…

Signal Processing · Electrical Eng. & Systems 2025-11-20 Akram Shafie , Jun Tong , Jinhong Yuan , Taka Sakurai , Paul Fitzpatrick , Yuting Fang , Yixuan Xie

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 this paper, a unified framework for chirp-domain waveforms, including orthogonal chirp division multiplexing (OCDM) and affine frequency division multiplexing (AFDM), is developed. Based on their continuous-time representations, we show…

Information Theory · Computer Science 2026-04-01 Yating Jiang , Hai Lin , Yi-Han Chiang , Jun Tong

In this paper, we investigate the design of a novel multicarrier (MC) modulation on delay-Doppler (DD) plane, to couple the modulated signal with a doubly-selective channel having DD resolutions. A key challenge for the design of DD plane…

Information Theory · Computer Science 2022-06-28 Hai Lin , Jinhong Yuan

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

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

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

In this paper, we analyze the recently discovered delay-Doppler plane orthogonal pulse (DDOP), which is essential for delay-Doppler plane multi-carrier modulation waveform. In particular, we introduce a local orthogonality property of…

Information Theory · Computer Science 2023-01-18 Hai Lin , Jinhong Yuan

The Terahertz band holds a promise to enable both super-accurate sensing and ultra-fast communication. However, challenges arise that severe Doppler effects call for a waveform with high Doppler robustness while severe propagation path loss…

Signal Processing · Electrical Eng. & Systems 2025-02-26 Meilin Li , Chong Han , Shi Jin

Orthogonal Frequency Division Multiplexing (OFDM) is an attractive modulation and multiple access techniques for channels with a nonflat frequency response, as it saves the need for complex equalizers. It can offer high quality performance…

Information Theory · Computer Science 2010-09-28 S. M. Kamruzzaman , Md. Anisur Rahman

Orthogonal frequency division multiplexing (OFDM) is a widespread modulation but suffers from high out-of-band emissions (OOBE). Spectral shaping strategies such as precoding, active interference cancellation (AIC) and time-domain methods…

Signal Processing · Electrical Eng. & Systems 2025-11-06 Javier Giménez , José A. Cortés , Francisco Javier Cañete , Eduardo Martos-Naya , Luis Díez

The orthogonal delay-Doppler (DD) division multiplexing (ODDM) modulation has recently been proposed as a promising solution for ensuring reliable communications in high mobility scenarios. In this work, we investigate the time-frequency…

Signal Processing · Electrical Eng. & Systems 2024-10-28 Akram Shafie , Jinhong Yuan , Nan Yang , Hai Lin

This paper proposes a novel parallel coding transmission strategy and an iterative detection and decoding receiver signal processing technique for orthogonal delay-Doppler division multiplexing (ODDM) modulation. Specifically, the proposed…

Information Theory · Computer Science 2025-02-04 Qi Li , Jinhong Yuan , Min Qiu

Orthogonal frequency division multiplexing (OFDM) signals with rectangularly windowed pulses exhibit low spectral confinement. Two approaches usually referred to as pulse-shaping and active interference cancellation (AIC) are classically…

Signal Processing · Electrical Eng. & Systems 2018-07-26 Luis Díez , José A. Cortés , Francisco J. Cañete , Eduardo Martos , Salvador Iranzo

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

There is significant recent interest in designing new modulation schemes for doubly-selective channels with large delay and Doppler spreads, where legacy modulation schemes based on time-frequency signal representations underperform.…

Signal Processing · Electrical Eng. & Systems 2026-02-10 Nishant Mehrotra , Sandesh Rao Mattu , Robert Calderbank

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
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