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Multi-Coset (MC) sampling is a well established, practically feasible scheme for sampling multiband analog signals below the Nyquist rate. MC sampling has gained renewed interest in the Compressive Sensing (CS) community, due partly to the…

Information Theory · Computer Science 2016-03-23 Chia Wei Lim , Michael B. Wakin

In this paper we deal with the linear frequency modulated signals and radar signals that are affected by disturbance which is the inevitable phenomenon in everyday communications. The considered cases represent the cases when the signals of…

Information Theory · Computer Science 2015-02-13 Zoja Vulaj , Faris Kardovic

The intrinsic mode function (IMF) provides adaptive function bases for nonlinear and non-stationary time series data. A fast convergent iterative method is introduced in this paper to find the IMF components of the data, the method is…

Numerical Analysis · Computer Science 2008-09-11 Louis Yu Lu

Iterative Filtering (IF) is an alternative technique to the Empirical Mode Decomposition (EMD) algorithm for the decomposition of non-stationary and non-linear signals. Recently in [1] IF has been proved to be convergent for any $L^2$…

Numerical Analysis · Mathematics 2015-07-28 Antonio Cicone , Haomin Zhou

In this study, we propose a wideband index modulation (IM) based on circularly-shifted chirps. To derive the proposed method, we first prove that a Golay complementary pair (GCP) can be constructed by linearly combining the Fourier series…

Signal Processing · Electrical Eng. & Systems 2020-10-27 Safi Shams Muhtasimul Hoque , Chao-Yu Chen , Alphan Sahin

The continuous wavelet transform (CWT) is a linear time-frequency representation and a powerful tool for analyzing non-stationary signals. The synchrosqueezing transform (SST) is a special type of the reassignment method which not only…

Signal Processing · Electrical Eng. & Systems 2019-09-27 Lin Li , Haiyan Cai , Qingtang Jiang

Building on the well-established connection between the Hilbert transform and derivative operators, and motivated by recent developments in complex-step differentiation, we introduce the Complex-Step Integral Transform (CSIT): a generalized…

Numerical Analysis · Mathematics 2025-12-11 Rafael Abreu , Stephanie Durand , Jochen Kamm , Christine Thomas , Monika Pandey

In this study, we propose index modulation (IM) with circularly-shifted chirps (CSCs) (CSC-IM) for dual-function radar and communication (DFRC) systems. The proposed scheme encodes the information bits with the CSC indices and the…

Signal Processing · Electrical Eng. & Systems 2021-09-29 Alphan Sahin , Safi Shams Muhtasimul Hoque , Chao-Yu Chen

Recently it has been shown that the intensity time-bandwidth product of optical signals can be engineered to match that of the data acquisition instrument. In particular, it is possible to slow down an ultrafast signal, resulting in…

Optics · Physics 2015-06-22 Jacky Chan , Ata Mahjoubfar , Mohammad H. Asghari , Bahram Jalali

This paper describes a method for extracting rapidly varying, superimposed amplitude- and frequency-modulated signal components. The method is based upon the continuous wavelet transform (CWT) and uses a new wavelet which is a modification…

Mathematical Physics · Physics 2009-11-07 J. D. Harrop , S. N. Taraskin , S. R. Elliott

In this paper, we propose a novel method for frequency modulated continuous wave (FMCW) radar mutual interference mitigation (IM) based on the discrete fractional Fourier transform (DFrFT). Interference chirps are detected and mitigated by…

Signal Processing · Electrical Eng. & Systems 2026-04-30 Christian Oswald , Franz Pernkopf

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 paper, we present a joint Doppler frequency shift compensation and data detection method using 2-D unitary ESPRIT algorithm for SIMO-OFDM railway communication systems over fast time-varying sparse multipath channels. By creating…

Information Theory · Computer Science 2012-10-30 Huiyue Yi

Recently, Transformer-based methods have shown impressive performance in single image super-resolution (SISR) tasks due to the ability of global feature extraction. However, the capabilities of Transformers that need to incorporate…

Computer Vision and Pattern Recognition · Computer Science 2023-05-02 Wenjie Li , Juncheng Li , Guangwei Gao , Jiantao Zhou , Jian Yang , Guo-Jun Qi

Multispectral image pairs can provide the combined information, making object detection applications more reliable and robust in the open world. To fully exploit the different modalities, we present a simple yet effective cross-modality…

Image and Video Processing · Electrical Eng. & Systems 2022-10-05 Fang Qingyun , Han Dapeng , Wang Zhaokui

We propose a new solution to the blind source separation problem that factors mixed time-series signals into a sum of spatiotemporal modes, with the constraint that the temporal components are intrinsic mode functions (IMF's). The key…

Numerical Analysis · Mathematics 2018-06-25 Seth M. Hirsh , Bingni W. Brunton , J. Nathan Kutz

In spatially distributed multiuser antenna systems, the received signal contains multiple carrier-frequency offsets (CFOs) arising from mismatch between the oscillators of transmitters and receivers. This results in a time-varying rotation…

Information Theory · Computer Science 2007-07-13 Yuanning Yu , Athina P. Petropulu , H. Vincent Poor

This paper presents a novel approach for estimating the modes of an observed non-stationary mixture signal. A link is first established between the short-time Fourier transform and the sparse sampling theory, where the observations are…

Numerical Analysis · Mathematics 2022-12-23 Quentin Legros , Dominique Fourer

A compressive sensing (CS) reconstruction method for polynomial phase signals is proposed in this paper. It relies on the Polynomial Fourier transform, which is used to establish a relationship between the observation and sparsity domain.…

Information Theory · Computer Science 2016-11-15 Srdjan Stankovic , Irena Orovic , Ljubisa Stankovic

This paper considers the problem of detecting nonstationary phenomena, and chirps in particular, from very noisy data. Chirps are waveforms of the very general form A(t) exp(i\lambda \phi(t)), where \lambda is a (large) base frequency, the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Emmanuel J. Candes , Philip R. Charlton , Hannes Helgason