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The performance of the multifractal detrended analysis on short time series is evaluated for synthetic samples of several mono- and multifractal models. The reconstruction of the generalized Hurst exponents is used to determine the range of…

Data Analysis, Statistics and Probability · Physics 2013-11-12 Juan Luis Lopez , Jesus Guillermo Contreras

The detrended fluctuation analysis (DFA) [Peng et al., 1994] and its extensions (MF-DFA) [Kantelhardt et al., 2002] have been used extensively to determine possible long-range correlations in self-affine signals. While the DFA has been…

Statistical Mechanics · Physics 2015-06-24 Radhakrishnan Nagarajan , Rajesh G. Kavasseri

Exploring channel dimensions has been the driving force behind breakthroughs in successive generations of mobile communication systems. In 5G, space division multiple access (SDMA) leveraging massive MIMO has been crucial in enhancing…

Signal Processing · Electrical Eng. & Systems 2025-01-31 Haoyan Liu , Caijian Jie , Min Yang , Chengguang Li

When common factors strongly influence two cross-correlated time series recorded in complex natural and social systems, the results will be biased if we use multifractal detrended cross-correlation analysis (MF-DXA) without considering…

Physics and Society · Physics 2021-04-14 Bao-Gen Li , Dian-Yi Ling , Zu-Guo Yu

Stride-to-stride fluctuations in human walking carry a fractal correlation structure that reverses sign under external cueing: self-paced gait is persistent, whereas metronomic or visually cued gait is anti-persistent. Three decades of…

Quantitative Methods · Quantitative Biology 2026-05-22 Philippe Terrier

We use multifractal detrended fluctuation analysis (MF-DFA), to See query 1 study sunspot number fluctuations. The result of the MF-DFA shows that there are three crossover timescales in the fluctuation function. We discuss how the…

Data Analysis, Statistics and Probability · Physics 2011-02-16 M. Sadegh Movahed , G. R. Jafari , F. Ghasemi , Sohrab Rahvar , M. Reza Rahimi Tabar

We present a topology optimization (TO) method for a 1D dielectric metasurface, coupling the classical trend-fluctuations analysis (FTA) and the diamond-square-algorithm (DSA). In the classical FTA, a couple of device distributions termed…

Multifractality in time series analysis characterizes the presence of multiple scaling exponents, indicating heterogeneous temporal structures and complex dynamical behaviors beyond simple monofractal models. In the context of digital…

Statistical Finance · Quantitative Finance 2025-10-16 Stanisław Drożdż , Robert Kluszczyński , Jarosław Kwapień , Marcin Wątorek

Intertrade duration of equities is an important financial measure characterizing the trading activities, which is defined as the waiting time between successive trades of an equity. Using the ultrahigh-frequency data of a liquid Chinese…

Statistical Finance · Quantitative Finance 2011-04-01 Yong-Ping Ruan , Wei-Xing Zhou

Dynamic metasurface antennas (DMAs) are emerging as a promising technology to enable energy-efficient, large array-based multi-antenna systems. This paper presents a simple channel estimation scheme for the downlink of a multiple-input…

Signal Processing · Electrical Eng. & Systems 2026-03-17 Amarilton L. Magalhães , Fazal E-Asim , André L. F. de Almeida , A. Lee Swindlehurst

We show that it can be considered some of Bach pitches series as a stochastic process with scaling behavior. Using multifractal deterend fluctuation analysis (MF-DFA) method, frequency series of Bach pitches have been analyzed. In this view…

Data Analysis, Statistics and Probability · Physics 2009-11-13 G. R. Jafari , P. Pedram , L. Hedayatifar

Motivated by contemporary and rich applications of anomalous diffusion processes we propose a new statistical test for fractional Brownian motion, which is one of the most popular models for anomalous diffusion systems. The test is based on…

Data Analysis, Statistics and Probability · Physics 2018-10-17 Grzegorz Sikora

This paper proposes an algorithm based on a staged sliding window Transformer architecture to detect abnormal behaviors in the microstructure of the foreign exchange market, focusing on high-frequency EUR/USD trading data. The method…

Machine Learning · Computer Science 2025-04-02 Qiuliuyang Bao , Jiawei Wang , Hao Gong , Yiwei Zhang , Xiaojun Guo , Hanrui Feng

FFT-based solvers are increasingly used by many researcher groups interested in modelling the mechanical behavior associated to a heterogeneous microstructure. A development is reported here that concerns the viscoelastic behavior of…

Classical Physics · Physics 2020-12-07 Stéphane André , Julien Boisse , Camille Noûs

We focus on the importance of $q$ moments range used within multifractal detrended fluctuation analysis (MFDFA) to calculate the generalized Hurst exponent spread and multifractal properties of signals. Different orders of detrending…

Data Analysis, Statistics and Probability · Physics 2013-07-26 Grzegorz Pamuła , Dariusz Grech

In the last decades, an ever-growing number of studies are focusing on the extreme weather conditions related to the climate change. Some of them are based on multifractal approaches, such as the Multifractal Detrended Fluctuation Analysis…

Atmospheric and Oceanic Physics · Physics 2023-11-17 J. Gomez-Gomez , R. Carmona-Cabezas , A. B. Ariza-Villaverde , E. Gutierrez de Rave , F. J. Jimenez-Hornero

By harnessing the delay-Doppler (DD) resource domain, orthogonal time-frequency space (OTFS) substantially improves the communication performance under high-mobility scenarios by maintaining quasi-time-invariant channel characteristics.…

Information Theory · Computer Science 2024-11-18 Jie Chen , Xianbin Wang , Lajos Hanzo

Certain instrumental effects and data reduction anomalies introduce systematic errors in photometric time-series. Detrending algorithms such as the Trend Filtering Algorithm (TFA) (Kov\'{a}cs et al. 2004) have played a key role in…

Instrumentation and Methods for Astrophysics · Physics 2014-11-20 D. del Ser , O. Fors , J. Núñez , H. Voss , A. Rosich , V. Kouprianov

This contribution addresses the question commonly asked in scientific literature about the sources of multifractality in time series. Two primary sources are typically considered. These are temporal correlations and heavy tails in the…

Data Analysis, Statistics and Probability · Physics 2025-01-16 Robert Kluszczyński , Stanisław Drożdż , Jarosław Kwapień , Tomasz Stanisz , Marcin Wątorek

End-to-end multi-object tracking (MOT) methods have recently achieved remarkable progress by unifying detection and association within a single framework. Despite their strong detection performance, these methods suffer from relatively low…

Computer Vision and Pattern Recognition · Computer Science 2025-12-03 Yuqing Shao , Yuchen Yang , Rui Yu , Weilong Li , Xu Guo , Huaicheng Yan , Wei Wang , Xiao Sun