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Forced oscillations are caused by sustained cyclic disturbances. This paper presents a machine learning (ML) based time-series classification method that uses the synchrophasor measurements to locate the sources of forced oscillations for…

Systems and Control · Electrical Eng. & Systems 2020-04-16 Yao Meng , Zhe Yu , Ning Lu , Di shi

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

The short-time Fourier transform (STFT) is widely used for analyzing non-stationary signals. However, its performance is highly sensitive to its parameters, and manual or heuristic tuning often yields suboptimal results. To overcome this…

Sound · Computer Science 2025-06-27 Maxime Leiber , Yosra Marnissi , Axel Barrau , Sylvain Meignen , Laurent Massoulié

Recently the study of modeling a non-stationary signal as a superposition of amplitude and frequency-modulated Fourier-like oscillatory modes has been a very active research area. The synchrosqueezing transform (SST) is a powerful method…

Numerical Analysis · Mathematics 2018-12-31 Haiyan Cai , Qingtang Jiang , Lin Li , Bruce W. Suter

High-resolution time-frequency (TF) analysis plays crucial role in characterizing multicomponent signal (MCSs) and estimating oscillatory properties. Linear time-frequency representations (TFRs) such as classical short-time Fourier…

Signal Processing · Electrical Eng. & Systems 2023-12-12 Rayyan Abdalla

Oscillations in a power system can be categorized into free oscillations and forced oscillations. Many algorithms have been developed to estimate the modes of free oscillations in a power system. Recently, forced oscillations caught many…

Systems and Control · Computer Science 2017-01-31 Mohammadreza Ghorbaniparvar

The fractional Fourier transform (FrFT), a fundamental operation in physics that corresponds to a rotation of phase space by any angle, is also an indispensable tool employed in digital signal processing for noise reduction. Processing of…

Time-frequency (TF) representation of non-stationary signals typically requires the effective concentration of energy distribution along the instantaneous frequency (IF) ridge, which exhibits intrinsic sparsity. Inspired by the sparse…

Signal Processing · Electrical Eng. & Systems 2025-01-15 Zongyue Yang , Baoqing Ding , Shibin Wang , Chuang Sun , Xuefeng Chen

The synchrosqueezing transform (SST) has been developed as a powerful EMD-like tool for instantaneous frequency (IF) estimation and component separation of non-stationary multicomponent signals. Recently, a direct method of the…

Numerical Analysis · Mathematics 2020-10-22 Charles K. Chui , Qingtang Jiang , Lin Li , Jian Lu

We introduce a novel ridge detection algorithm for time-frequency (TF) analysis, particularly tailored for intricate nonstationary time series encompassing multiple non-sinusoidal oscillatory components. The algorithm is rooted in the…

Numerical Analysis · Mathematics 2024-08-20 Yan-Wei Su , Gi-Ren Liu , Yuan-Chung Sheu , Hau-Tieng Wu

Fast and Relaxed Vector Fitting (FRVF) is a frequency-domain system identification approach that has been widely adopted in electrical system modelling, while its application to mechanical systems has remained relatively unexplored. In this…

Signal Processing · Electrical Eng. & Systems 2026-05-18 Beatrice E. Bauret Martínez , Gabriele Dessena , Marco Civera , Oscar E. Bonilla-Manrique

Transient signals are often composed of a series of modes that have multivalued time-dependent instantaneous frequency (IF), which brings challenges to the development of signal processing technology. Fortunately, the group delay (GD) of…

Signal Processing · Electrical Eng. & Systems 2022-02-23 Haoran Dong , Gang Yu

The dependability of power electronics systems, such as three-phase inverters, is critical in a variety of applications. Different types of failures that occur in an inverter circuit might affect system operation and raise the entire cost…

Signal Processing · Electrical Eng. & Systems 2021-11-15 Mustafa Manap , Srete Nikolovski , Aleksandr Skamyin , Rony Karim , Tole Sutikno , Mohd Hatta Jopri

The Fractional Fourier Transform (FRT) corresponds to an arbitrary-angle rotation in the phase space, e.g. the time-frequency (TF) space, and generalizes the fundamentally important Fourier Transform. FRT applications range from classical…

Optics · Physics 2024-03-06 Michał Lipka , Michał Parniak

With the expansion of the semiconductor supply chain, the use of recycled field-programmable gate arrays (FPGAs) has become a serious concern. Several methods for detecting recycled FPGAs by analyzing the ring oscillator (RO) frequencies…

Hardware Architecture · Computer Science 2022-04-06 Yuya Isaka , Michihiro Shintani , Foisal Ahmed , Michiko Inoue

Nonstationary time series forecasting suffers from the distribution shift issue due to the different distributions that produce the training and test data. Existing methods attempt to alleviate the dependence by, e.g., removing low-order…

Machine Learning · Computer Science 2026-02-20 Xihao Piao , Zheng Chen , Lingwei Zhu , Yushun Dong , Yasuko Matsubara , Yasushi Sakurai

We propose to combine cepstrum and nonlinear time-frequency (TF) analysis to study mutiple component oscillatory signals with time-varying frequency and amplitude and with time-varying non-sinusoidal oscillatory pattern. The concept of…

Data Analysis, Statistics and Probability · Physics 2016-11-23 Chen-Yun Lin , Li Su , Hau-tieng Wu

We propose a new algorithm for time stretching music signals based on the theory of nonstationary Gabor frames (NSGFs). The algorithm extends the techniques of the classical phase vocoder (PV) by incorporating adaptive time-frequency (TF)…

Sound · Computer Science 2017-09-14 Emil Solsbæk Ottosen , Monika Dörfler

Time-frequency analysis is often used to study non stationary multicomponent signals, which can be viewed as the surperimposition of modes, associated with ridges in the TF plane. To understand such signals, it is essential to identify…

Signal Processing · Electrical Eng. & Systems 2022-04-06 Nils Laurent , Sylvain Meignen

This paper proposes a data-driven algorithm of locating the source of forced oscillations and suggests the physical interpretation of the method. By leveraging the sparsity of the forced oscillation sources along with the low-rank nature of…

Signal Processing · Electrical Eng. & Systems 2019-08-28 Tong Huang , Nikolaos M. Freris , P. R. Kumar , Le Xie