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We propose a chirp-like signal model as an alternative to a chirp model and a generalisation of the sinusoidal model, which is a fundamental model in the statistical signal processing literature. It is observed that the proposed model can…

Methodology · Statistics 2018-05-17 Rhythm Grover , Debasis Kundu , Amit Mitra

Everything that exists has a natural frequency; this material characteristic is something that must be known and fully understood. If we fail to predict, measure, and address potential natural frequency concerns, it could significantly…

Signal Processing · Electrical Eng. & Systems 2026-04-14 Nicholas Suits , Masudul Imtiaz

We analyze the stability properties of the Synchrosqueezing transform, a time-frequency signal analysis method that can identify and extract oscillatory components with time-varying frequency and amplitude. We show that Synchrosqueezing is…

Classical Analysis and ODEs · Mathematics 2013-01-09 Gaurav Thakur , Eugene Brevdo , Neven S. Fučkar , Hau-Tieng Wu

Characterizing resonant scatterers is challenging because their poles and zeros usually lie away from the real-frequency axis, whereas most measurements sample only real frequencies and infer off-axis behavior from fitted models. Here we…

Optics · Physics 2026-03-16 Alex Krasnok , Denis Seletskiy

Frequency is a central concept in Mathematics, Physics, and Signal Processing. It is the main tool for describing the oscillatory behavior of signals, which is usually argued to be the manifestation of some of their key features, depending…

Signal Processing · Electrical Eng. & Systems 2021-05-28 Móises Soto-Bajo , Andrés Fraguela Collar , Javier Herrera Vega , Raúl Felipe-Sosa

The amount of randomness in a signal generated by physical or non-physical process can reveal important information about that process. For example, the presence of randomness in ECG signals may indicate a cardiac disease. On the hand, the…

Data Analysis, Statistics and Probability · Physics 2020-05-05 R. V. Ramos

The frequency response function (FRF) is a typical way to describe the outcome of experiments where posture control is perturbed with an external stimulus. The FRF is an empirical transfer function between an input stimulus and the induced…

Applications · Statistics 2025-06-02 Vittorio Lippi

The purpose of this study is to provide a new methodology of how one can consistently estimate a change-point in time series data. In contrast with previous studies, the suggested methodology employs only the empirical spectral density and…

Methodology · Statistics 2016-11-22 Gyorgy H. Terdik , Stergios B. Fotopoulos , Venkata K. Jandhyala

Multirate digital signal processing and model reduction applications require computation of the frequency truncated norm of a discrete-time system. This paper explains how to compute the frequency truncated norm of a discrete-time system.…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Hanumant Singh Shekhawat

Frequency estimation from measurements corrupted by noise is a fundamental challenge across numerous engineering and scientific fields. Among the pivotal factors shaping the resolution capacity of any frequency estimation technique are…

Signal Processing · Electrical Eng. & Systems 2024-09-23 Sampath Kumar Dondapati , Omkar Nitsure , Satish Mulleti

The analysis of the time-frequency content of a signal is a classical problem in signal processing, with a broad number of applications in real life. Many different approaches have been developed over the decades, which provide alternative…

Numerical Analysis · Mathematics 2022-06-02 Antonio Cicone , Wing Suet Li , Haomin Zhou

Frequency-domain analysis has emerged as a powerful paradigm for time series analysis, offering unique advantages over traditional time-domain approaches while introducing new theoretical and practical challenges. This survey provides a…

Computational Engineering, Finance, and Science · Computer Science 2025-10-21 Qianru Zhang , Yuting Sun , Honggang Wen , Peng Yang , Xinzhu Li , Ming Li , Kwok-Yan Lam , Siu-Ming Yiu , Hongzhi Yin

Phase-space analysis or time-frequency analysis can be thought as Fourier analysis simultaneously both in time and in frequency, originating from signal processing and quantum mechanics. On groups having unitary Fourier transform, we…

Functional Analysis · Mathematics 2020-09-21 Ville Turunen

It is known that, interference classification plays an important role in protecting the authorized communication system and avoiding its performance degradation in the hostile environment. In this paper, the interference classification…

Networking and Internet Architecture · Computer Science 2022-10-19 Changzhi Xu , Jingya Ren , Wanxin Yu , Yi Jin , Zhenxin Cao , Xiaogang Wu , Weiheng Jiang

Spectrograms are pivotal in time-frequency signal analysis, widely used in audio processing and computational neuroscience. Chirp-like patterns in electroencephalogram (EEG) spectrograms (marked by linear or exponential frequency sweep) are…

Audio and Speech Processing · Electrical Eng. & Systems 2025-04-01 Nooshin Bahador , Milad Lankarany

Chirp signal models and their generalizations have been used to model many natural and man-made phenomena in signal processing and time series literature. In recent times, several methods have been proposed for parameter estimation of these…

Methodology · Statistics 2022-09-08 Abhinek Shukla , Rhythm Grover , Debasis Kundu , Amit Mitra

The manner in which signals propagate through dense granular systems in both space and time is not well understood. In order to learn more about this process, we carry out discrete element simulations of the system response to excitations…

Soft Condensed Matter · Physics 2008-05-15 L. Kondic , O. M. Dybenko , R. P. Behringer

This paper is an effort to evaluate the numerical indices for the assessment of the frequency response analysis (FRA) to provide a deeper understanding of their characteristics. The study introduces the indices in the literature and…

Systems and Control · Electrical Eng. & Systems 2021-06-28 Reza Khalilisenobari , Javad Sadeh

The Heisenberg time-energy relation prevents determination of an atomic transition to better than the inverse of the measurement time. The relation generally applies to frequency estimation of a near-resonant field [1-3], since information…

Quantum Physics · Physics 2021-06-08 Liam P. McGuinness

Noise-induced phase transitions are common in various complex systems, from physics to biology. In this article, we investigate the emergence of crucial events in noise-induced phase transition processes and their potential significance for…

Data Analysis, Statistics and Probability · Physics 2023-06-28 Jacob D. Baxley , David R. Lambert , Mauro Bologna , Bruce J. West , Paolo Grigolini