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We first apply the WT-MFDFA, MFDFA, and WTMM multifractal methods to binomial multifractal time series of three different binomial parameters and find that the WTMM method indicates an enhanced difference between the fractal components than…

Cellular Automata and Lattice Gases · Physics 2012-04-03 J. S. Murguia , H. C. Rosu

This contribution reports an application of MultiFractal Detrended Fluctuation Analysis, MFDFA based novel feature extraction technique for automated detection of epilepsy. In fractal geometry, Multifractal Detrended Fluctuation Analysis…

Computer Vision and Pattern Recognition · Computer Science 2017-04-06 S Pratiher , S Chatterjee , R Bose

Many fault diagnosis methods of rotating machines are based on discriminative features extracted from signals collected from the key components such as bearings. However, under complex operating conditions, periodic impulsive…

Signal Processing · Electrical Eng. & Systems 2025-12-12 Yuhan Yuan , Xiaomo Jiang , Haibin Yang , Haixin Zhao , Shengbo Wang , Xueyu Cheng , Jigang Meng , Shuhua Yang

In this paper, a new methodology for stability assessment of a smart power system is proposed. The key to this assessment is an index called betweenness index which is based on ideas from complex network theory. The proposed betweenness…

Other Computer Science · Computer Science 2011-03-18 A. B. M. Nasiruzzaman , H. R. Pota

Functional markers become a more frequent tool in medical diagnosis. In this paper, we aim to define an index allowing to discriminate between populations when the observations are functional data belonging to a Hilbert space. We discuss…

Methodology · Statistics 2025-02-03 Ana M. Bianco , Graciela Boente , Juan Carlos Pardo-Fernández

The Radio frequency (RF) fingerprinting technique makes highly secure device authentication possible for future networks by exploiting hardware imperfections introduced during manufacturing. Although this technique has received considerable…

Artificial Intelligence · Computer Science 2023-02-23 Chuanting Zhang , Shuping Dang , Junqing Zhang , Haixia Zhang , Mark A. Beach

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 F-measure, also known as the F1-score, is widely used to assess the performance of classification algorithms. However, some researchers find it lacking in intuitive interpretation, questioning the appropriateness of combining two…

Machine Learning · Computer Science 2021-03-19 David J. Hand , Peter Christen , Nishadi Kirielle

Multivariate (or vector-valued) processes are important for modeling multiple variables. The fractal indices of the components of the underlying multivariate process play a key role in characterizing the dependence structures and…

Statistics Theory · Mathematics 2017-07-25 Yuzhen Zhou , Yimin Xiao

In many areas of imaging science, it is difficult to measure the phase of linear measurements. As such, one often wishes to reconstruct a signal from intensity measurements, that is, perform phase retrieval. In this paper, we provide a…

Information Theory · Computer Science 2013-09-13 Boris Alexeev , Afonso S. Bandeira , Matthew Fickus , Dustin G. Mixon

Feature requests are proposed by users to request new features or enhancements of existing features of software products, which represent users' wishes and demands. Satisfying users' demands can benefit the product from both competitiveness…

Software Engineering · Computer Science 2026-02-27 Feifei Niu , Chuanyi Li , Haosheng Zuo , Jionghan Wu , Xin Xia

LoRa is a widely recognized modulation technology in the field of low power wide area networks (LPWANs). However, the data rate of LoRa is too low to satisfy the requirements of Internet of Things applications. To address this issue, we…

Signal Processing · Electrical Eng. & Systems 2025-10-28 Hao Zeng , Huan Ma , Yi Fang , Pingping Chen , Wenkun Wen , Tierui Min

In this paper, the authors design a trial to count rational ratios on the interval [0, 1], and plot a normalized frequency statistical graph. Patterns, symmetry and co-linear properties reflected in the graph are confirmed. The main…

History and Overview · Mathematics 2018-02-06 Zongwei Zhou , Dawei Lu

This paper studies the procurement and pricing of inertial response using a frequency-constrained unit commitment formulation, which co-optimizes the provision of energy and inertia services while accounting for their complementary…

Optimization and Control · Mathematics 2020-05-25 Matthieu Paturet , Uros Markovic , Stefanos Delikaraoglou , Evangelos Vrettos , Petros Aristidou , Garbiela Hug

High-concentration time-frequency (TF) representation provides a valuable tool for characterizing multi-component non-stationary signals. In our previous work, we proposed using an instantaneous frequency (IF) equation to sharpen the TF…

Signal Processing · Electrical Eng. & Systems 2023-03-13 Xiangxiang Zhu , Kunde Yang , Zhuosheng Zhang

In this paper, we consider the problem of estimating finite rate of innovation (FRI) signals from noisy measurements, and specifically analyze the interaction between FRI techniques and the underlying sampling methods. We first obtain a…

Information Theory · Computer Science 2016-11-18 Zvika Ben-Haim , Tomer Michaeli , Yonina C. Eldar

A statistical mechanical framework to analyze linear vector channel models in digital wireless communication is proposed for a large system. The framework is a generalization of that proposed for code-division multiple-access systems in…

Information Theory · Computer Science 2007-11-06 Koujin Takeda , Atsushi Hatabu , Yoshiyuki Kabashima

The recently developed technique of Cyclotron Radiation Emission Spectroscopy (CRES) uses frequency information from the cyclotron motion of an electron in a magnetic bottle to infer its kinetic energy. Here we derive the expected radio…

Methods on reducing resonant frequencies and electrical sizes of resonators are reported in this paper. Theoreti-cal and numerical analysis has been used and the results for the broadside-coupled resonators from both studies exhibit good…

Optics · Physics 2008-10-15 T. Hao , J. Zhu , D. J. Edwards , C. J. Stevens

A frequency counter measures the input frequency $\bar{\nu}$ averaged over a suitable time $\tau$, versus the reference clock. High resolution is achieved by interpolating the clock signal. Further increased resolution is obtained by…

Instrumentation and Detectors · Physics 2009-11-10 Enrico Rubiola
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