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Chirping phenomena, in which the instantaneous frequencies of a signal change with time, are abundant in signals related to biological systems. Biosignals are non-stationary in nature and the time-frequency analysis is a viable tool to…

Signal Processing · Electrical Eng. & Systems 2017-09-26 Jie Cui , Dinghui Wang

The realm of classical phase retrieval concerns itself with the arduous task of recovering a signal from its Fourier magnitude measurements, which are fraught with inherent ambiguities. A single-exposure intensity measurement is commonly…

Computer Vision and Pattern Recognition · Computer Science 2023-11-21 Yixiao Yang , Ran Tao , Kaixuan Wei , Jun Shi

Chirp signals have established diverse applications caused by the capable of producing time-dependent linear frequencies. Most feature extraction transformation methods for chirp signals focus on enhancing the performance of transform…

Signal Processing · Electrical Eng. & Systems 2024-01-11 Shuyi Gu , Zhenghua Luo , Lin Hu , Yilin Zhang , Junxiong Guo

The performances of a new data processing technique, namely the Empirical Mode Decomposition, are evaluated on a fully developed turbulent velocity signal perturbed by a numerical forcing which mimics a long-period flapping. First, we…

Fluid Dynamics · Physics 2015-05-20 Nicolas Mazellier , Fabrice Foucher

A new method is proposed to determine the time-frequency content of time-dependent signals consisting of multiple oscillatory components, with time-varying amplitudes and instantaneous frequencies. Numerical experiments as well as a…

Statistics Theory · Mathematics 2016-04-27 Ingrid Daubechies , Yi Wang , Hau-tieng Wu

Time-frequency analysis is an important and challenging task in many applications. Fourier and wavelet analysis are two classic methods that have achieved remarkable success in many fields. However, they also exhibit limitations when…

Machine Learning · Computer Science 2024-10-25 Feng Zhou , Antonio Cicone , Haomin Zhou

Time-frequency analysis (TFA) techniques play an important role in the field of machine fault diagnosis attributing to their superiority in dealing with nonstationary signals. Synchroextracting transform (SET) and transient-extracting…

Signal Processing · Electrical Eng. & Systems 2024-02-09 Yunlong Ma , Gang Yu , Tianran Lin , Qingtang Jiang

In this study, we propose a framework for chirp-based communications by exploiting discrete Fourier transform-spread orthogonal frequency division multiplexing (DFT-s-OFDM). We show that a well-designed frequency-domain spectral shaping…

Signal Processing · Electrical Eng. & Systems 2020-11-24 Alphan Sahin , Nozhan Hosseini , Hosseinali Jamal , Safi Shams Muhtasimul Hoque , David W. Matolak

In previous work, we presented a general framework for instantaneous time-frequency analysis but did not provide any specific details of how to compute a particular instantaneous spectrum (IS). In this work, we use instantaneous…

Signal Processing · Electrical Eng. & Systems 2025-12-25 Steven Sandoval , Phillip L. De Leon

We propose a new approach for studying the notion of the instantaneous frequency of a signal. We build on ideas from the Synchrosqueezing theory of Daubechies, Lu and Wu and consider a variant of Synchrosqueezing, based on the short-time…

Numerical Analysis · Mathematics 2012-01-17 Gaurav Thakur , Hau-Tieng Wu

The analysis of chaotic signals with time-frequency methods is considered. For this purpose, two new transformations are presented which consist in the decomposition of a signal onto an orthogonal set of respectively linear and hyperbolic…

Chaotic Dynamics · Physics 2010-07-28 Benjamin Ricaud , Francoise Briolle , F. Clairet

Denoising of broadband non--stationary signals is a challenging problem in communication systems. In this paper, we introduce a time-varying filter algorithm based on the discrete linear chirp transform (DLCT), which provides local signal…

Signal Processing · Electrical Eng. & Systems 2018-10-15 Osama A. S. Alkishriwo , Ali A. Elghariani , Aydin Akan

Sampling is classically performed by recording the amplitude of an input signal at given time instants; however, sampling and reconstructing a signal using multiple devices in parallel becomes a more difficult problem to solve when the…

Signal Processing · Electrical Eng. & Systems 2020-04-22 Karen Adam , Adam Scholefield , Martin Vetterli

The task of separating a superposition of signals into its individual components is a common challenge encountered in various signal processing applications, especially in domains such as audio and radar signals. A previous paper by Chui…

Signal Processing · Electrical Eng. & Systems 2026-04-30 Eric Mason , Sippanon Kitimoon , Hrushikesh Mhaskar

Quadrature compressive sampling (QuadCS) is a sub-Nyquist sampling scheme for acquiring in-phase and quadrature (I/Q) components in radar. In this scheme, the received intermediate frequency (IF) signals are expressed as a linear…

Information Theory · Computer Science 2015-03-03 Feng Xi , Shengyao Chen , Yimin D. Zhang , Zhong Liu

This study puts forward a generalization of the short-time Fourier-based Synchrosqueezing Transform using a new local estimate of instantaneous frequency. Such a technique enables not only to achieve a highly concentrated time-frequency…

Signal Processing · Electrical Eng. & Systems 2020-04-21 Duong-Hung Pham , Sylvain Meignen

This paper addresses the problem of consistently estimating a continuous-time (CT) diffusively coupled network (DCN) to identify physical components in a physical network. We develop a three-step frequency-domain identification method for…

Systems and Control · Electrical Eng. & Systems 2024-10-25 Desen Liang , E. M. M. , Kivits , Maarten Schoukens , Paul M. J. Van den Hof

In this paper, we propose a novel estimator of the instantaneous frequencies (IFs) of the modes making up multicomponent signals (MCSs). We are particularly interested in dealing with noisy MCSs containing close modes in the time-frequency…

Signal Processing · Electrical Eng. & Systems 2026-03-10 Basile Dubois-Bonnaire , Sylvain Meignen , Kévin Polisano

With the growing demand for non-Euclidean data analysis, graph signal processing (GSP) has gained significant attention for its capability to handle complex time-varying data. This paper introduces a novel sampling method based on the joint…

General Mathematics · Mathematics 2025-06-03 Yu Zhang , Bing-Zhao Li

Recent deep multi-view stereo (MVS) methods have widely incorporated transformers into cascade network for high-resolution depth estimation, achieving impressive results. However, existing transformer-based methods are constrained by their…

Computer Vision and Pattern Recognition · Computer Science 2024-02-05 Sicheng Wang , Hao Jiang , Lei Xiang