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Analyzing time series in the frequency domain enables the development of powerful tools for investigating the second-order characteristics of multivariate processes. Parameters like the spectral density matrix and its inverse, the coherence…

Methodology · Statistics 2024-01-19 Jonas Krampe , Efstathios Paparoditis

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

Regenerated (FRF curves), synthesis of (FRF) curves there are two main requirement in the form of response model, The first being that of regenerating "Theoretical" curve for the frequency response function actually measured and analysis…

Computational Engineering, Finance, and Science · Computer Science 2012-08-21 Hisham A. H. Al-Khazali , Mohamad R. Askari

Hybrid systems are mostly modelled, simulated, and verified in the time domain by computer scientists. Engineers, however, use both frequency and time domain modelling due to their distinct advantages. For example, frequency domain…

Formal Languages and Automata Theory · Computer Science 2025-06-03 Moon Kim , Avinash Malik , Partha Roop

A power transformer winding is usually subject to mechanical stress and tension because of improper transportation or operation. Radial deformation (RD) is an example of mechanical stress that can impact power transformer operation through…

Systems and Control · Electrical Eng. & Systems 2020-12-15 Arash Moradzadeh , Kazem Pourhossein , Behnam Mohammadi-Ivatloo , Tohid Khalili , Ali Bidram

The Gamma-Ray Energy Tracking Array (GRETA) is a next-generation gamma-ray spectrometer designed to push the frontiers of nuclear structure and astrophysics experiment. Its high sensitivity is enabled by high-precision localization of…

Instrumentation and Detectors · Physics 2025-12-16 Arin Manohar , Mario Cromaz , Christopher Campbell , Heather Crawford , Marco Salathe

Categorization is crucial for content description in archiving of music signals. On many occasions, human brain fails to classify the instruments properly just by listening to their sounds which is evident from the human response data…

Sound · Computer Science 2016-01-29 Archi Banerjee , Shankha Sanyal , Tarit Guhathakurata , Ranjan Sengupta , Dipak Ghosh

Frequency tagging is a powerful approach to investigate the neural processing of sensory features, and is recently adapted to study the neural correlates of superordinate structures, i.e., chunks, in complex sequences such as speech and…

Neurons and Cognition · Quantitative Biology 2023-01-04 Nai Ding

In systems biology and pharmacology, large-scale kinetic models are used to study the dynamic response of a system to a specific input or stimulus. While in many applications, a deeper understanding of the input-response behaviour is highly…

Quantitative Methods · Quantitative Biology 2023-02-20 Jane Knöchel , Charlotte Kloft , Wilhelm Huisinga

In this paper, we introduce a new extension of the Singular Spectrum Analysis (SSA) called functional SSA to analyze functional time series. The new methodology is developed by integrating ideas from functional data analysis and univariate…

Fractional learning algorithms are trending in signal processing and adaptive filtering recently. However, it is unclear whether the proclaimed superiority over conventional algorithms is well-grounded or is a myth as their performance has…

Machine Learning · Computer Science 2022-11-23 Abdul Wahab , Shujaat Khan , Imran Naseem , Jong Chul Ye

The article discusses selected problems related to both principal component analysis (PCA) and factor analysis (FA). In particular, both types of analysis were compared. A vector interpretation for both PCA and FA has also been proposed.…

Machine Learning · Computer Science 2021-10-22 Zenon Gniazdowski

Phase-Rectified Signal Averaging (PRSA) was shown to be a powerful tool for the study of quasi-periodic oscillations and nonlinear effects in non-stationary signals. Here we present a bivariate PRSA technique for the study of the…

Data Analysis, Statistics and Probability · Physics 2009-11-13 Aicko Y. Schumann , Jan W. Kantelhardt , Axel Bauer , Georg Schmidt

In recent years, as fractional calculus becomes more and more broadly used in research across different academic disciplines, there are increasing demands for the numerical tools for the computation of fractional…

Systems and Control · Computer Science 2015-11-25 Zhuo Li , Lu Liu , Sina Dehghan , YangQuan Chen , Dingyu Xue

Phase-rectified signal averaging (PRSA) is a widely used algorithm to analyze nonstationary biomedical time series. The method operates by identifying hinge points in the time series according to prescribed rules, extracting segments…

Statistics Theory · Mathematics 2025-11-04 Jiro Akahori , Joseph Najnudel , Hau-Tieng Wu , Ju-Yi Yen

As an attempt to tackle the low-data-rate issue of the conventional LoRa systems, we propose two novel frequency-bin-index (FBI) LoRa schemes. In scheme I, the indices of starting frequency bins (SFBs) are utilized to carry the information…

Signal Processing · Electrical Eng. & Systems 2021-03-30 Huan Ma , Yi Fang , Guofa Cai , Guojun Han , Yonghui Li

Originally developed for measuring the heterogeneity of wealth measures, inequality indices are quantitative scores that take values in the unit interval, with the zero score characterizing perfect equality. In this paper, we draw attention…

Physics and Society · Physics 2022-10-03 Giuseppe Toscani

We propose an information-theoretic alternative to the popular Cronbach alpha coefficient of reliability. Particularly suitable for contexts in which instruments are scored on a strictly nonnumeric scale, our proposed index is based on…

Statistics Theory · Mathematics 2015-01-19 Ernest Fokoue , Necla Gunduz

The analysis of signal-to-interference ratios (SIRs) in wireless networks is instrumental to derive important performance metrics, including reliability, throughput, and delay. While a host of results on SIR distributions are now available,…

Information Theory · Computer Science 2020-03-10 Martin Haenggi

While regression models capture the relationship between predictors and the response variable, they often lack intuitive accompanying methods to understand the influence of predictors on the outcome. To address this, we introduce an…

Methodology · Statistics 2026-02-06 Jihao You , Dan Tulpan , Jiaojiao Diao , Jennifer L. Ellis