Real-Time Algorithm for Detrended Cross-Correlation Analysis of Long-Range Coupled Processes.

Autor:	Kaposzta Z; Department of Physiology, Faculty of Medicine, Semmelweis University, Budapest, Hungary., Czoch A; Department of Physiology, Faculty of Medicine, Semmelweis University, Budapest, Hungary., Stylianou O; Department of Physiology, Faculty of Medicine, Semmelweis University, Budapest, Hungary.; Institute of Translational Medicine, Semmelweis University, Budapest, Hungary., Kim K; Department of Physiology, Faculty of Medicine, Semmelweis University, Budapest, Hungary., Mukli P; Department of Physiology, Faculty of Medicine, Semmelweis University, Budapest, Hungary.; Oklahoma Center for Geroscience and Healthy Brain Aging, Department of Biochemistry and Molecular Biology, University of Oklahoma Health Sciences Center, Oklahoma City, OK, United States., Eke A; Department of Physiology, Faculty of Medicine, Semmelweis University, Budapest, Hungary.; Department of Radiology and Biomedical Imaging, Yale University School of Medicine, New Haven, CT, United States., Racz FS; Department of Physiology, Faculty of Medicine, Semmelweis University, Budapest, Hungary.; Department of Neurology, Dell Medical School, University of Texas at Austin, Austin, TX, United States.
Jazyk:	angličtina
Zdroj:	Frontiers in physiology [Front Physiol] 2022 Mar 11; Vol. 13, pp. 817268. Date of Electronic Publication: 2022 Mar 11 (Print Publication: 2022).
DOI:	10.3389/fphys.2022.817268
Abstrakt:	Assessing power-law cross-correlations between a pair - or among a set - of processes is of great significance in diverse fields of analyses ranging from neuroscience to financial markets. In most cases such analyses are computationally expensive and thus carried out offline once the entire signal is obtained. However, many applications - such as mental state monitoring or financial forecasting - call for fast algorithms capable of estimating scale-free coupling in real time. Detrended cross-correlation analysis (DCCA), a generalization of the detrended fluctuation analysis (DFA) to the bivariate domain, has been introduced as a method designed to quantify power-law cross-correlations between a pair of non-stationary signals. Later, in analogy with the Pearson cross-correlation coefficient, DCCA was adapted to the detrended cross-correlation coefficient (DCCC), however as of now no online algorithms were provided for either of these analysis techniques. Here we introduce a new formula for obtaining the scaling functions in real time for DCCA. Moreover, the formula can be generalized via matrix notation to obtain the scaling relationship between not only a pair of signals, but also all possible pairs among a set of signals at the same time. This includes parallel estimation of the DFA scaling function of each individual process as well, thus allowing also for real-time acquisition of DCCC. The proposed algorithm matches its offline variants in precision, while being substantially more efficient in terms of execution time. We demonstrate that the method can be utilized for mental state monitoring on multi-channel electroencephalographic recordings obtained in eyes-closed and eyes-open resting conditions. Competing Interests: The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest. (Copyright © 2022 Kaposzta, Czoch, Stylianou, Kim, Mukli, Eke and Racz.)
Databáze:	MEDLINE
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