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With the increasing demand for multi-carrier communication in high-mobility scenarios, it is urgent to design new multi-carrier communication waveforms that can resist large delay-Doppler spreads. Various multi-carrier waveforms in the…

Signal Processing · Electrical Eng. & Systems 2024-06-05 Xingyao Zhang , Haoran Yin , Yanqun Tang , Yu Zhou , Yuqing Liu , Jinming Du , Yipeng Ding

Affine frequency division multiplexing (AFDM) has emerged as a promising modulation scheme for doubly selective channels, but its canonical continuous-time realization, referred to herein as piecewise continuous AFDM (PC-AFDM), has been…

Signal Processing · Electrical Eng. & Systems 2026-05-13 Yewen Cao , Yulin Shao

We consider a bistatic vehicular integrated sensing and communications (ISAC) system that employs the recently proposed orthogonal chirp division multiplexing (OCDM) multicarrier waveform. As a stand-alone communications waveform, OCDM has…

Information Theory · Computer Science 2021-11-10 Sangeeta Bhattacharjee , Kumar Vijay Mishra , Ramesh Annavajjala , Chandra R. Murthy

We investigate the dynamics of optical Airy beams in the one-dimensional fractional Schr\"odinger equation with a harmonic-oscillator (HO) potential subjected to modulation along the propagation distance. Deriving general solutions for…

Optics · Physics 2024-03-19 Xiaoqin Bai , Juan Bai , Boris A. Malomed , Rongcao Yang

The proposed Circular statistics-based Inter-Microphone Phase difference estimation Localizer (CIMPL) method is tailored toward binaural hearing aid systems with microphone arrays in each unit. The method utilizes the circular statistics…

Next-generation wireless networks are conceived to provide reliable and high-data-rate communication services for diverse scenarios, such as vehicle-to-vehicle, unmanned aerial vehicles, and satellite networks. The severe Doppler spreads in…

We present a Fourier-domain approach to modulations and delays of gravitational wave signals, a problem which arises in two different contexts. For space-based detectors like LISA, the orbital motion of the detector introduces a…

General Relativity and Quantum Cosmology · Physics 2018-06-29 Sylvain Marsat , John G. Baker

The fractional Hilbert transform was introduced by Zayed [30, Zayed, 1998] and has been widely used in signal processing. In view of is connection with the fractional Fourier transform, Chen, the first, second and fourth authors of this…

Functional Analysis · Mathematics 2022-05-31 Zunwei Fu , Loukas Grafakos , Yan Lin , Yue Wu , Shuhui Yang

Broadband microwave waveforms with programmable chirp shapes are captivating in numerous practical applications. Compared with electronic technology, photonic-assisted solutions exhibit excellent performance in bandwidth and flexibility,…

Affine frequency division multiplexing (AFDM) has recently emerged as an excellent backward-compatible 6G waveform. In this paper, we study matched filtering (MF) assisted channel estimation (CE) for AFDM systems in complex doubly selective…

Signal Processing · Electrical Eng. & Systems 2026-02-18 Xiangjun Li , Zilong Liu , Zhengchun Zhou , Pingzhi Fan

This study focuses on the analysis of signals containing multiple components with crossover instantaneous frequencies (IF). This problem was initially solved with the chirplet transform (CT). Also, it can be sharpened by adding the…

Numerical Analysis · Mathematics 2024-05-14 Yi-Ju Yen , De-Yan Lu , Sing-Yuan Yeh , Jian-Jiun Ding , Chun-Yen Shen

Broad band power density spectra offer a window to understanding turbulent behavior in the emission mechanism and, at the highest frequencies, in the putative inner engines powering long GRBs. We describe a chirp search method which steps…

High Energy Astrophysical Phenomena · Physics 2015-06-23 Maurice H. P. M. van Putten , Cristiano Guidorzi , Filippo Frontera

Integrating sensing into standardized communication systems can potentially benefit many consumer applications that require both radio frequency functions. However, without an effective sensing method, such integration may not achieve the…

Signal Processing · Electrical Eng. & Systems 2021-09-10 Kai Wu , J. Andrew Zhang , Xiaojing Huang , Y. Jay Guo

We elaborate on the recently proposed orthogonal time frequency space (OTFS) modulation technique, which provides significant advantages over orthogonal frequency division multiplexing (OFDM) in Doppler channels. We first derive the…

Information Theory · Computer Science 2017-09-28 P. Raviteja , Khoa T. Phan , Qianyu Jin , Yi Hong , Emanuele Viterbo

We present a continuous-time probabilistic approach for estimating the chirp signal and its instantaneous frequency function when the true forms of these functions are not accessible. Our model represents these functions by non-linearly…

Machine Learning · Statistics 2023-03-22 Zheng Zhao , Simo Särkkä , Jens Sjölund , Thomas B. Schön

Reconfigurable intelligent surface (RIS) based reflection modulation has been considered as a promising information delivery mechanism, and has the potential to realize passive information transfer of a RIS without consuming any additional…

Signal Processing · Electrical Eng. & Systems 2022-03-02 Wenjing Yan , Xiaojun Yuan , Xuanyu Cao

In this paper, we develop the theory of chirp mixing. The working principle is simple, given coupled homonuclear spins with offsets in range [-B, B], we adiabatically sweep through the resonances. This achieves cross polarization between…

Quantum Physics · Physics 2018-06-13 Navin Khaneja

In this paper, we propose a novel joint coding-modulation technique based on serial concatenation of orthogonal linear transform, such as discrete Fourier transform (DFT) or Walsh-Hadamard transform (WHT), with memoryless nonlinearity. We…

Information Theory · Computer Science 2018-01-22 Sergey V. Zhidkov

Integrated sensing and communication (ISAC) is a promising candidate technology for 6G due to its improvement in spectral efficiency and energy efficiency. Orthogonal frequency division multiplexing (OFDM) signal is a mainstream candidate…

Signal Processing · Electrical Eng. & Systems 2025-08-19 Lin Wang , Zhiqing Wei , Xu Chen , Zhiyong Feng

We present a new paradigm for computation of radiation spectra in the non-linear regime of operation of inverse Compton sources characterized by high laser intensities. The resulting simulations show an unprecedented level of agreement with…