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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

Compressed sensing has shown great potential in reducing data acquisition time in magnetic resonance imaging (MRI). Recently, a spread spectrum compressed sensing MRI method modulates an image with a quadratic phase. It performs better than…

Computer Vision and Pattern Recognition · Computer Science 2016-01-27 Xiaobo Qu , Ying Chen , Xiaoxing Zhuang , Zhiyu Yan , Di Guo , Zhong Chen

Autonomous driving is reshaping the way humans travel, with millimeter wave (mmWave) radar playing a crucial role in this transformation to enabe vehicle-to-everything (V2X). Although chirp is widely used in mmWave radar systems for its…

Signal Processing · Electrical Eng. & Systems 2025-05-23 Zhuoran Li , Shufeng Tan , Zhen Gao , Yi Tao , Zhonghuai Wu , Zhongxiang Li , Chun Hu , Dezhi Zheng

In this letter, we propose dual-mode chirp spread spectrum (DM-CSS) modulation for low-power wide-area networks. DM-CSS is capable of achieving a higher spectral efficiency (SE) relative to its counterparts, such as Long Range (LoRa)…

Signal Processing · Electrical Eng. & Systems 2022-08-23 Ali Waqar Azim , Ahmad Bazzi , Raed Shubair , Marwa Chafii

Integrated Sensing and Communication (ISAC) requires the development of a waveform capable of efficiently supporting both communication and sensing functionalities. This paper proposes a novel waveform that combines the benefits of both the…

Signal Processing · Electrical Eng. & Systems 2026-01-23 Pankaj Kumar , Mohammed El-Hajjar , Ibrahim A. Hemadeh , Yasser Mestrah , Suraj Srivastava , Aditya K. Jagannatham , Lajos Hanzo

This paper proposes a novel multi-carrier modulation framework for high-mobility communication scenarios. Our key idea lies in spreading data symbols across the delay-Doppler (DD) domain through orthogonal chirp-Zak transform (CZT). To…

Signal Processing · Electrical Eng. & Systems 2025-11-25 Chaoyuan Bai , Pingzhi Fan , Zhengchun Zhou , Zilong Liu

As a promising technique for high-mobility wireless communications, orthogonal time frequency space (OTFS) has been proved to enjoy excellent advantages with respect to traditional orthogonal frequency division multiplexing (OFDM). However,…

Information Theory · Computer Science 2022-10-26 Mi Qian , Yao Ge , Miaowen Wen , Fei Ji

Affine frequency division multiplexing (AFDM) is a chirp-based multicarrier waveform that was recently proposed for communication over doubly dispersive channels. Given its chirp nature, AFDM is expected to have superior sensing…

Signal Processing · Electrical Eng. & Systems 2025-08-15 Ebrahim Bedeer

This article describes an interferometric method, called "Chirped Heterodyne Interferometry for Measuring Pulses" (CHIMP), for the complete characterization of highly (monotonically) chirped ultrabroadband optical pulses. CHIMP provides the…

Optics · Physics 2016-12-28 Adam S Wyatt , Pedro Oliveira , Ian O Musgrave

A chirped-pulse interleaving method is reported for generation of dual optical frequency combs based on electro-optic phase modulators (EOM) in a free-running all-fiber based system. Methods are discussed to easily modify the linear chirp…

The fractional Fourier series generalizes the classical Fourier series by introducing a rotation angle $\alpha$ in the time-frequency plane, but inherits the Gibbs phenomenon for piecewise smooth functions. Unlike the classical setting, the…

Numerical Analysis · Mathematics 2026-05-13 Faiza Afzal , Xu Xiao

In recent years there has been a growing interest in the fractional Fourier transform driven by its large number of applications. The literature in this field follows two main routes. On the one hand, the areas where the ordinary Fourier…

Numerical Analysis · Mathematics 2012-01-26 Rafael G. Campos , J. Rico-Melgoza , Edgar Chávez

Index modulation (IM) techniques can be applied to the different media in order to achieve spectral- and energy-efficient communication as well as to the indices of the subcarriers of a generalized frequency division multiplexing (GFDM)…

Information Theory · Computer Science 2018-06-13 Merve Yüzgeçcioğlu , Eduard Jorswieck

Index modulation (IM) is one of the key enabling technologies for beyond fifth generation (B5G) and sixth generation (6G) wireless systems, attracting attention for its inherent energy and spectral efficiency resulting from conveying…

Signal Processing · Electrical Eng. & Systems 2025-03-04 Hyeon Seok Rou , Giuseppe Thadeu Freitas de Abreu , Takumi Takahashi , David González G. , Osvaldo Gonsa

In this paper, we propose a novel orthogonal frequency division multiplexing with index modulation (OFDM-IM) scheme, which we call Q-ary multi-mode OFDM-IM (Q-MM-OFDM-IM). In the proposed scheme, Q disjoint M-ary constellations are used…

Signal Processing · Electrical Eng. & Systems 2020-03-19 Ferhat Yarkin , Justin P. Coon

The sixth generation (6G) of mobile communications and beyond is expected to enable advanced functionalities, such as integrated sensing and communication (ISAC), while involving diverse terminal/user equipment types from terrestrial to…

Signal Processing · Electrical Eng. & Systems 2026-05-19 Yujie Liu , Yong Liang Guan , David González G. , Halim Yanikomeroglu

An orbital-angular-momentum (OAM) mode-group multiplexing (MGM) scheme based on a graded-index ring-core fiber (GIRCF) is proposed, in which a single-input two-output (or receive diversity) architecture is designed for each MG channel and…

Signal Processing · Electrical Eng. & Systems 2018-03-14 Junwei Zhang , Guoxuan Zhu , Liu Jie , Xiong Wu , Jianbo Zhu , Cheng Du , Wenyong Luo , Siyuan Yu

Pulse compression is often practiced in ultrasound Non Destructive Testing (NDT) systems using chirps. However, chirps are inadequate for setups where multiple probes need to operate concurrently in Multiple Input Multiple Output (MIMO)…

This study proposes a radar-centric integrated sensing and communication (ISAC) system utilizing a two-layer modulation scheme for vehicular networks. Frequency-modulated continuous wave (FMCW) chirps are jointly modulated via phase…

Signal Processing · Electrical Eng. & Systems 2026-05-25 Murat Temiz , Colin Horne , Matthew A. Ritchie , Christos Masouros

In this paper, a new single-carrier waveform, called chirped discrete Fourier transform spread orthogonal frequency division multiplexing (DFT-s-OFDM), is proposed for the sixth generation of communications. As the initial study on this…

Signal Processing · Electrical Eng. & Systems 2025-02-20 Yujie Liu , Yong Liang Guan , David González G. , Halim Yanikomeroglu