Skip to Content

101 Results Found

  • Article
  • Open Access
12 Citations
5,430 Views
15 Pages

Mitigation of Ionospheric Scintillation Effects on GNSS Signals with VMD-MFDFA

  • Wasiu Akande Ahmed,
  • Falin Wu,
  • Dessi Marlia,
  • Ednofri and
  • Yan Zhao

2 December 2019

Severe scintillations degrade the satellite signal intensity below the fade margin of satellite receivers thereby resulting in failure of communication, positioning, and navigational services. The performance of satellite receivers is obviously restr...

  • Article
  • Open Access
70 Citations
9,163 Views
18 Pages

28 April 2019

Multifractal detrended fluctuation analysis (MFDFA) method can examine higher-dimensional fractal and multifractal characteristics hidden in time series. However, removal of local trends in MFDFA is based on discontinuous polynomial fitting, resultin...

  • Article
  • Open Access
6 Citations
2,044 Views
17 Pages

Sign Retention in Classical MF-DFA

  • Mengdie Yang,
  • Yudong Zhang and
  • Jian Wang

In this paper, we propose a one-dimensional (1D) multifractal sign retention detrending fluctuation analysis algorithm (MF-S-DFA). The proposed method is based on conventional multifractal detrending fluctuation analysis (MF-DFA). As negative values...

  • Article
  • Open Access
10 Citations
4,731 Views
13 Pages

A power grid harmonic signal is characterized as having both nonlinear and nonstationary features. A novel multifractal detrended fluctuation analysis (MFDFA) algorithm combined with the empirical mode decomposition (EMD) theory and template movement...

  • Article
  • Open Access
14 Citations
5,723 Views
21 Pages

Identification of Active Gully Erosion Sites in the Loess Plateau of China Using MF-DFA

  • Jianjun Cao,
  • Guoan Tang,
  • Xuan Fang,
  • Yongjuan Liu,
  • Ying Zhu,
  • Jinlian Li and
  • Wolfgang Wagner

10 February 2020

Gullies of different scales and types have developed in the Loess Plateau, China. Differences in the amount of gully erosion influence the development, evolution, morphology, and spatial distribution of these gullies. The strengths of headward erosio...

  • Article
  • Open Access
6 Citations
3,003 Views
14 Pages

Climate Change Effects through MFDFA Study of Temperature in Serbia

  • Tatijana Stosic,
  • Borko Stosic,
  • Milica Tošić,
  • Irida Lazić,
  • Vladimir Djurdjević and
  • Ivana Tošić

6 October 2023

We investigate multifractal properties of daily means of air temperature over the territory of Serbia, by using Multifractal detrended fluctuation analysis. Temperature anomalies in two periods 1961–1990 and 1991–2020 are calculated from...

  • Article
  • Open Access
11 Citations
2,603 Views
12 Pages

10 June 2022

Vibration signals from centrifugal pumps are nonlinear, non-smooth, and possess implied trend terms, which makes it difficult for traditional signal processing methods to accurately extract their fault characteristics and details. With a view to rect...

  • Article
  • Open Access
9 Citations
2,392 Views
13 Pages

14 May 2022

To improve the accuracy of centrifugal pump fault diagnosis, a novel fault diagnosis method based on improved multiple fractal detrended fluctuation analysis (MFDFA), the fusion of multi-sensing information derived from the back propagation (BP) neur...

  • Article
  • Open Access
7 Citations
2,534 Views
19 Pages

6 September 2022

Driving fatigue refers to a phenomenon in which a driver’s physiological and psychological functions become unbalanced after a long period of continuous driving, and their driving skills decline objectively. The hidden dangers of driving fatigu...

  • Article
  • Open Access
11 Citations
3,372 Views
23 Pages

The Impact of COVID-19 on BRICS and MSCI Emerging Markets Efficiency: Evidence from MF-DFA

  • Saba Ameer,
  • Safwan Mohd Nor,
  • Sajid Ali and
  • Nur Haiza Muhammad Zawawi

This study examines the response of the BRICS and MSCI emerging stock market indices to the COVID-19 outbreak. For this purpose, this study uses a multifractal detrended fluctuation analysis (MF-DFA) to investigate the market efficiency dynamics of t...

  • Article
  • Open Access
4 Citations
2,364 Views
13 Pages

Due to the significant value that hotel reviews hold for both consumers and businesses, the development of an accurate sentiment classification method is crucial. By effectively distinguishing the authenticity of reviews, consumers can make informed...

  • Article
  • Open Access
16 Citations
6,897 Views
19 Pages

Topographic Spatial Variation Analysis of Loess Shoulder Lines in the Loess Plateau of China Based on MF-DFA

  • Jianjun Cao,
  • Jiaming Na,
  • Jilong Li,
  • Guoan Tang,
  • Xuan Fang and
  • Liyang Xiong

The Loess Plateau in China is internationally known for its unique geographical features and has therefore been studied by many researchers. This research exploits the regional differences in the spatial morphological characteristics of Loess shoulde...

  • Article
  • Open Access
3 Citations
3,529 Views
21 Pages

Multifractal Patterns in 17-Year PM10 Time Series in Athens, Greece

  • Dimitrios Nikolopoulos,
  • Aftab Alam,
  • Ermioni Petraki,
  • Panayiotis Yannakopoulos and
  • Konstantinos Moustris

This paper reports the multifractal characteristics of lengthy PM10 time series from five stations in the Greater Athens Area (GAA), Greece. A novel methodology based on the multifractal detrended fluctuation analysis (MFDFA) is applied to raw and sh...

  • Article
  • Open Access
7 Citations
2,912 Views
17 Pages

Detection of Pipeline Leaks Using Fractal Analysis of Acoustic Signals

  • Ayrat Zagretdinov,
  • Shamil Ziganshin,
  • Eugenia Izmailova,
  • Yuri Vankov,
  • Ilya Klyukin and
  • Roman Alexandrov

In this paper, the possibility of using monofractal and multifractal analysis of acoustic signals of pipelines to detect leaks is considered. An experimental stand has been created to study the fractal characteristics of acoustic signals of pipelines...

  • Article
  • Open Access
11 Citations
1,924 Views
22 Pages

Modified MF-DFA Model Based on LSSVM Fitting

  • Minzhen Wang,
  • Caiming Zhong,
  • Keyu Yue,
  • Yu Zheng,
  • Wenjing Jiang and
  • Jian Wang

This paper proposes a multifractal least squares support vector machine detrended fluctuation analysis (MF-LSSVM-DFA) model. The system is an extension of the traditional MF-DFA model. To address potential overfitting or underfitting caused by the fi...

  • Article
  • Open Access
7 Citations
5,850 Views
29 Pages

Inner Multifractal Dynamics in the Jumps of Cryptocurrency and Forex Markets

  • Haider Ali,
  • Muhammad Aftab,
  • Faheem Aslam and
  • Paulo Ferreira

Jump dynamics in financial markets exhibit significant complexity, often resulting in increased probabilities of subsequent jumps, akin to earthquake aftershocks. This study aims to understand these complexities within a multifractal framework. To do...

  • Article
  • Open Access
16 Citations
3,562 Views
10 Pages

7 January 2021

In this paper, the multifractal detrended fluctuation analysis (MF-DFA) method is used to identify the multifractal structure of in the Chicago Board of Trade (CBOT) soybean futures and quantitatively describe the inefficiency and nonlinearity of the...

  • Article
  • Open Access
6 Citations
5,045 Views
19 Pages

This article presents the process of creating a virtual reality (VR) game designed to assess the impact of stress on heart rate variability (HRV). The game features dynamic and challenging scenarios to induce stress responses, incorporating advanced...

  • Article
  • Open Access
959 Views
22 Pages

26 June 2025

The mental fatigue of crane operators can pose a serious threat to construction safety. To enhance the safety of crane operations on construction sites, this study proposes a rotary switch semi-dry electrode for detecting the mental fatigue of crane...

  • Article
  • Open Access
2 Citations
2,254 Views
15 Pages

Detection of Gate Valve Leaks through the Analysis Fractal Characteristics of Acoustic Signal

  • Ayrat Zagretdinov,
  • Shamil Ziganshin,
  • Eugenia Izmailova,
  • Yuri Vankov,
  • Ilya Klyukin and
  • Roman Alexandrov

This paper considers the possibility of using monofractal and multifractal analysis of acoustic signals to detect water leaks through gate valves. Detrended fluctuation analysis (DFA) and multifractal detrended fluctuation analysis (MF-DFA) were used...

  • Article
  • Open Access
3 Citations
2,295 Views
13 Pages

12 December 2019

In this paper, the authors investigate the idiosyncratic features of auto- and cross-correlation structures of PM2.5 (particulate matter of diameter less than 2.5 μ m ) mass concentrations using DFA (detrended fluctuation analysis) method...

  • Article
  • Open Access
16 Citations
5,924 Views
18 Pages

In this study, we investigate the existence of chaos in the global cryptocurrency market. Specifically, we analyze parameters of chaotic order, nonlinearity, sensitivity to the initial conditions, monofractality, and multifractality. For this purpose...

  • Article
  • Open Access
6 Citations
2,062 Views
18 Pages

Multifractal Analysis of Standardized Precipitation Evapotranspiration Index in Serbia in the Context of Climate Change

  • Tatijana Stosic,
  • Ivana Tošić,
  • Irida Lazić,
  • Milica Tošić,
  • Lazar Filipović,
  • Vladimir Djurdjević and
  • Borko Stosic

12 November 2024

A better understanding of climate change impact on dry/wet conditions is crucial for agricultural planning and the use of renewable energy, in terms of sustainable development and preservation of natural resources for future generations. The objectiv...

  • Article
  • Open Access
6 Citations
2,363 Views
16 Pages

Soft Fault Diagnosis of Analog Circuit Based on EEMD and Improved MF-DFA

  • Xinmiao Lu,
  • Zihan Lu,
  • Qiong Wu,
  • Jiaxu Wang,
  • Cunfang Yang,
  • Shuai Sun,
  • Dan Shao and
  • Kaiyi Liu

27 December 2022

Aiming at the problems of nonlinearity and serious confusion of fault characteristics in analog circuits, this paper proposed a fault diagnosis method for an analog circuit based on ensemble empirical pattern decomposition (EEMD) and improved multifr...

  • Article
  • Open Access
2 Citations
1,230 Views
27 Pages

Energy supports national economic development, and its financial attributes are continuously being enhanced. Analyzing the efficiency and risk of the energy market is of significant importance in energy security and sustainable development. This pape...

  • Feature Paper
  • Article
  • Open Access
16 Citations
4,995 Views
15 Pages

26 June 2018

The significant task for control performance assessment (CPA) is to review and evaluate the performance of the control system. The control system in the semiconductor industry exhibits a complex dynamic behavior, which is hard to analyze. This paper...

  • Article
  • Open Access
11 Citations
2,776 Views
23 Pages

Differences in Gating Dynamics of BK Channels in Cellular and Mitochondrial Membranes from Human Glioblastoma Cells Unraveled by Short- and Long-Range Correlations Analysis

  • Agata Wawrzkiewicz-Jałowiecka,
  • Paulina Trybek,
  • Przemysław Borys,
  • Beata Dworakowska,
  • Łukasz Machura and
  • Piotr Bednarczyk

15 October 2020

The large-conductance voltage- and Ca2+-activated K+ channels (BK) are encoded in humans by the Kcnma1 gene. Nevertheless, BK channel isoforms in different locations can exhibit functional heterogeneity mainly due to the alternative splicing during t...

  • Article
  • Open Access
86 Citations
9,443 Views
15 Pages

Multifractal Detrended Fluctuation Analysis (MF-DFA) of Stock Market Indexes. Empirical Evidence from Seven Central and Eastern European Markets

  • Laura Raisa Miloş,
  • Cornel Haţiegan,
  • Marius Cristian Miloş,
  • Flavia Mirela Barna and
  • Claudiu Boțoc

10 January 2020

In this paper, we present a comparative investigation of the multifractal properties of seven Central and Eastern European (CEE) stock markets using recent financial data up to August 2018 by employing seasonal and trend decompositions before applyin...

  • Article
  • Open Access
25 Citations
3,246 Views
12 Pages

5 May 2022

The Bitcoin mining process is energy intensive, which can hamper the much-desired ecological balance. Given that the persistence of high levels of energy consumption of Bitcoin could have permanent policy implications, we examine the presence of long...

  • Article
  • Open Access
4 Citations
3,268 Views
18 Pages

The investigation of the fractal nature of financial data has been growing in the literature. The purpose of this paper is to investigate the impact of the COVID-19 pandemic on the efficiency of agricultural futures markets by using multifractal detr...

  • Article
  • Open Access
21 Citations
4,621 Views
16 Pages

12 September 2018

Agricultural flood disaster risk assessment plays a vital role in agricultural flood disaster risk management. Extreme precipitation events are the main causes of flood disasters in the Midwest Jilin province (MJP). Therefore, it is important to anal...

  • Article
  • Open Access
5 Citations
1,560 Views
21 Pages

A Novel Detection Algorithm for the Icing Status of Transmission Lines

  • Dongxu Dai,
  • Yan Hu,
  • Hao Qian,
  • Guoqiang Qi and
  • Yan Wang

25 September 2024

As more and more transmission lines need to pass through areas with heavy icing, the problem of transmission line faults caused by ice and snow disasters frequently occurs. Existing ice coverage monitoring methods have defects such as the use of a si...

  • Article
  • Open Access
5 Citations
3,518 Views
18 Pages

29 August 2021

Since its launch in 2009, bitcoin has thrived, attracting the attention of investors, regulators, academia, and the public in general. Its price dynamics, characterized by extreme volatility, severe jumps, and impressive long-term appreciation, sugge...

  • Article
  • Open Access
5 Citations
3,315 Views
21 Pages

Research on Efficiency and Multifractality of Gold Market under Major Events

  • Feifei Wang,
  • Jiaxin Chang,
  • Weizhen Zuo and
  • Weijie Zhou

(1) Background: As a safe-haven asset, gold attracts a large number of investors during major events. Uncertainties caused by global economic and market conditions lead to increased purchases of gold by investors, which in turn affects the efficiency...

  • Article
  • Open Access
5 Citations
3,863 Views
31 Pages

Time-Varying Market Efficiency: A Focus on Crude Oil and Commodity Dynamics

  • Young-Sung Kim,
  • Do-Hyeon Kim,
  • Dong-Jun Kim and
  • Sun-Yong Choi

This study investigated market efficiency across 20 major commodity assets, including crude oil, utilizing fractal analysis. Additionally, a rolling window approach was employed to capture the time-varying nature of efficiency in these markets. A Gra...

  • Article
  • Open Access
43 Citations
7,282 Views
15 Pages

21 March 2019

This paper examines the daily return series of four main indices, including Shanghai Stock Exchange Composite Index (SSE), Shenzhen Stock Exchange Component Index (SZSE), Shanghai Shenzhen 300 Index (SHSE-SZSE300), and CSI Smallcap 500 index (CSI500)...

  • Article
  • Open Access
587 Views
22 Pages

Understanding the temporal dynamics of urban air pollution is essential for effective environmental management, yet the nonlinear and scale-dependent behavior of key pollutants remains insufficiently explored. This study examines the multifractal pro...

  • Article
  • Open Access
1 Citations
1,126 Views
22 Pages

In the current context of the global energy landscape, China is facing a growing challenge in oil and gas exploration and development. It is difficult to evaluate the log data because of the lithological composition of igneous rocks, which displays a...

  • Article
  • Open Access
6 Citations
1,290 Views
23 Pages

Displacement Interval Prediction Method for Arch Dam with Cracks: Integrated STL, MF-DFA and Bootstrap

  • Zeyuan Chen,
  • Bo Xu,
  • Linsong Sun,
  • Xuan Wang,
  • Dalai Song,
  • Weigang Lu and
  • Yangtao Li

27 September 2024

Displacement prediction models based on measured data have been widely applied in structural health monitoring. However, most models neglect the particularity of displacement monitoring for arch dams with cracks, nor do they thoroughly analyze the no...

  • Feature Paper
  • Article
  • Open Access
4 Citations
4,826 Views
12 Pages

The Structure of Chaos: An Empirical Comparison of Fractal Physiology Complexity Indices Using NeuroKit2

  • Dominique Makowski,
  • An Shu Te,
  • Tam Pham,
  • Zen Juen Lau and
  • S. H. Annabel Chen

27 July 2022

Complexity quantification, through entropy, information theory and fractal dimension indices, is gaining a renewed traction in psychophsyiology, as new measures with promising qualities emerge from the computational and mathematical advances. Unfortu...

  • Article
  • Open Access
5 Citations
2,740 Views
22 Pages

Uncertain systems are those wherein some variability is observed, meaning that different observations of the system will produce different measurements. Studying such systems demands the use of statistical methods over multiple measurements, which al...

  • Article
  • Open Access
5 Citations
3,061 Views
16 Pages

This paper concerns a fractional modeling and prediction method directly oriented toward an industrial time series with obvious non-Gaussian features. The hidden long-range dependence and the multifractal property are extracted to determine the fract...

  • Article
  • Open Access
5 Citations
2,660 Views
18 Pages

Regional Multifractal Variability of the Overall Seismic Activity in Pakistan from 1820 to 2020 via the Application of MDFA on Earthquake Catalogs

  • Aftab Alam,
  • Dimitrios Nikolopoulos,
  • Demetrios Cantzos,
  • Muhammad Tahir,
  • Tahir Iqbal,
  • Ermioni Petraki,
  • Panayiotis Yannakopoulos and
  • Muhammad Rafique

The overall seismicity of Pakistan from 1820 to 2020 is analysed in terms of its multifractal behaviour. Seismic events of magnitude ML = 3.0 and above are spatially clustered into four distinct groups, each one corresponding to a different region of...

  • Article
  • Open Access
10 Citations
3,059 Views
40 Pages

Scale-Fractal Detrended Fluctuation Analysis for Fault Diagnosis of a Centrifugal Pump and a Reciprocating Compressor

  • Ruben Medina,
  • René-Vinicio Sánchez,
  • Diego Cabrera,
  • Mariela Cerrada,
  • Edgar Estupiñan,
  • Wengang Ao and
  • Rafael E. Vásquez

11 January 2024

Reciprocating compressors and centrifugal pumps are rotating machines used in industry, where fault detection is crucial for avoiding unnecessary and costly downtime. A novel method for fault classification in reciprocating compressors and multi-stag...

  • Article
  • Open Access
9 Citations
4,046 Views
17 Pages

Generalized Structure Functions and Multifractal Detrended Fluctuation Analysis Applied to Vegetation Index Time Series: An Arid Rangeland Study

  • Ernesto Sanz,
  • Antonio Saa-Requejo,
  • Carlos H. Díaz-Ambrona,
  • Margarita Ruiz-Ramos,
  • Alfredo Rodríguez,
  • Eva Iglesias,
  • Paloma Esteve,
  • Bárbara Soriano and
  • Ana M. Tarquis

7 May 2021

Estimates suggest that more than 70% of the world’s rangelands are degraded. The Normalized Difference Vegetation Index (NDVI) is commonly used by ecologists and agriculturalists to monitor vegetation and contribute to more sustainable rangeland mana...

  • Article
  • Open Access
3 Citations
1,337 Views
21 Pages

Multifractal Detrended Fluctuation Analysis Combined with Allen–Cahn Equation for Image Segmentation

  • Minzhen Wang,
  • Yanshan Wang,
  • Renkang Xu,
  • Runqiao Peng,
  • Jian Wang and
  • Junseok Kim

This study proposes a novel image segmentation method, MF-DFA combined with the Allen–Cahn equation (MF-AC-DFA). By utilizing the Allen–Cahn equation instead of the least squares method employed in traditional MF-DFA for fitting, the accu...

  • Article
  • Open Access
39 Citations
5,957 Views
15 Pages

17 March 2018

The separation of coal and gangue is an important process of the coal preparation technology. The conventional way of manual selection and separation of gangue from the raw coal can be replaced by computer vision technology. In the literature, resear...

  • Article
  • Open Access
77 Citations
9,874 Views
17 Pages

17 April 2015

Multifractal detrended fluctuation analysis (MFDFA) can provide information about inner regularity, randomness and long-range correlation of time series, promoting the knowledge of their evolution regularity. The MFDFA are applied to detect long-rang...

  • Article
  • Open Access
14 Citations
3,570 Views
26 Pages

13 July 2022

As a typical complex system, the stock market has attracted the attention of scholars and investors to comprehensively understand its fractal characteristics and analyze its market efficiency. Firstly, this paper proposes an asymmetric, detrended flu...

  • Article
  • Open Access
10 Citations
2,477 Views
22 Pages

Assessment of Multifractal Fingerprints of Reference Evapotranspiration Based on Multivariate Empirical Mode Decomposition

  • Adarsh Sankaran,
  • Thomas Plocoste,
  • Vahid Nourani,
  • Shamseena Vahab and
  • Aayisha Salim

28 July 2023

This study analyzed the multifractal characteristics of daily reference evapotranspiration (ETo) time series of the Tabriz and Urmia stations of northwestern Iran and its cross-correlation with five other meteorological variables. The results of mult...

of 3