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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

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 simplicity of a question such as wondering if correlations characterize or not a certain system collides with the experimental difficulty of accessing such information. Here we present a low demanding experimental approach which refers…

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

The paper describes the design of broadband chirp excitation pulses in NMR. We first develop a three stage model for understanding chirp excitation in NMR. We then show how a chirp $\pi$ pulse can be used to refocus the phase of the chirp…

Quantum Physics · Physics 2017-09-13 Navin Khaneja

Motivated by analyzing complicated time series, nonlinear-type time-frequency analysis became an active research topic in the past decades. Those developed tools have been applied to various problems. In this article, we review those…

Signal Processing · Electrical Eng. & Systems 2020-04-02 Hau-Tieng Wu

We demonstrate combined high-fidelity long-haul transfer of a linearly chirped, optical frequency and time transfer. In a proof-of-principle experiment we transfer an optical frequency with a linear chirp of around 238 kHz/s via a…

Optics · Physics 2014-03-04 S. M. F. Raupach , G. Grosche

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 frequency response analysis describes the steady-state responses of a system to sinusoidal inputs at different frequencies, providing control engineers with an effective tool for designing control systems in the frequency domain.…

Systems and Control · Electrical Eng. & Systems 2024-12-02 Xinxin Zhang , Marcin B Kaczmarek , S. Hassan HosseinNia

This paper presents a novel approach to understanding the role of harmonic dynamics and gaining a deeper appreciation for its impact within and outside of quantum mechanics. This includes consequences of harmonic dynamics and the…

Quantum Physics · Physics 2021-11-22 Donald J. Kouri , Caleb Broodo , Bernhard G. Bodmann , Cameron L. Williams

The frequency response function (FRF) is an established way to describe the outcome of experiments in posture control literature. The FRF is an empirical transfer function between an input stimulus and the induced body segment sway profile,…

Signal Processing · Electrical Eng. & Systems 2025-01-31 Vittorio Lippi

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

Whisking is a rhythmic and adaptive behavior that rodents use to probe and interact with their environment, and the frequency of movement reflects both sensorimotor processing and internal brain states. A robust and traditional method of…

Quantitative Methods · Quantitative Biology 2026-05-28 Guanghui Li , Fangyuan Li , Barbara Lykke Lind , Rune W Berg

In this paper, we study the frequency response of uncertain systems using Kharitonov stability theory on first order complex polynomial set. For an interval transfer function, we show that the minimal real part of the frequency response at…

Optimization and Control · Mathematics 2007-05-23 Long Wang

It is the purpose of the paper to describe the virtues of time-frequency methods for signal processing applications, having astronomical time series in mind. Different methods are considered and their potential usefulness respectively…

Astrophysics · Physics 2009-11-07 R. Vio , W. Wamsteker

Graph signal processing (GSP) has emerged as a powerful framework for analyzing data on irregular domains. In recent years, many classical techniques in signal processing (SP) have been successfully extended to GSP. Among them, chirp…

Signal Processing · Electrical Eng. & Systems 2025-08-01 Manjun Cui , Zhichao Zhang , Wei Yao

Electromagnetic ion cyclotron waves are known to exhibit frequency chirping, contributing to the rapid scattering and acceleration of energetic particles. However, the physical mechanism of chirping remains elusive. Here, we propose a new…

Space Physics · Physics 2023-03-15 Zeyu An , Xin Tao , Fulvio Zonca , Liu Chen

Complex frequency excitations, oscillating signals whose amplitude decreases exponentially in time, have recently been demonstrated to significantly increase the effective quality factor of mechanical resonators. In this work, we…

Classical Physics · Physics 2026-05-14 Wenbo Li , Raj Kumar Pal

Whispered speech as an acceptable form of human-computer interaction is gaining traction. Systems that address multiple modes of speech require a robust front-end speech classifier. Performance of whispered vs normal speech classification…

Audio and Speech Processing · Electrical Eng. & Systems 2024-08-28 S. Johanan Joysingh , P. Vijayalakshmi , T. Nagarajan

In this paper, we consider multiple signals sharing same instantaneous frequencies. This kind of data is very common in scientific and engineering problems. To take advantage of this special structure, we modify our data-driven…

Information Theory · Computer Science 2015-07-09 Thomas Y. Hou , Zuoqiang Shi
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