TY - JOUR
T1 - Crossover scaling evaluation in mixed correlated signals by means of Detrended Fluctuation Analysis
AU - Martínez-García, C. R.
AU - Reyes-Ramírez, I.
AU - Angulo-Brown, F.
AU - Guzmán-Vargas, L.
N1 - Publisher Copyright:
© Published under licence by IOP Publishing Ltd.
PY - 2015
Y1 - 2015
N2 - In this work we study the scaling behavior of signals constructed by a class of processes with "intrinsic trends" and correlated noises. We focus our attention in evaluating the appearence of a crossover in the scaling exponents obtained by means of the Detrended Fluctuation Analysis. In particular, we evaluate the conditions of the trend which leads to a crossover where the scaling exponent from small scales (αs) is smaller or larger than the corresponding exponent from large scales (αl). We find that decreasing trend leads to αs > αl, whereas an increasing trend results in αs < αl. We also find that when one introduces correlated noise into a decreasing or increasing trend map, there is a crossover which separates two regions with exponents related to the trend mainly over short scales for decreasing trends, while over large scales, the scaling exponent resembles the behavior of the increasing trend.
AB - In this work we study the scaling behavior of signals constructed by a class of processes with "intrinsic trends" and correlated noises. We focus our attention in evaluating the appearence of a crossover in the scaling exponents obtained by means of the Detrended Fluctuation Analysis. In particular, we evaluate the conditions of the trend which leads to a crossover where the scaling exponent from small scales (αs) is smaller or larger than the corresponding exponent from large scales (αl). We find that decreasing trend leads to αs > αl, whereas an increasing trend results in αs < αl. We also find that when one introduces correlated noise into a decreasing or increasing trend map, there is a crossover which separates two regions with exponents related to the trend mainly over short scales for decreasing trends, while over large scales, the scaling exponent resembles the behavior of the increasing trend.
UR - http://www.scopus.com/inward/record.url?scp=84921038419&partnerID=8YFLogxK
U2 - 10.1088/1742-6596/582/1/012062
DO - 10.1088/1742-6596/582/1/012062
M3 - Artículo de la conferencia
AN - SCOPUS:84921038419
SN - 1742-6588
VL - 582
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
IS - 1
M1 - 012062
T2 - 7th International Congress of Engineering Physics, CIIF 2014
Y2 - 24 November 2014 through 28 November 2014
ER -