Hu, KunIvanov, Plamen C.Chen, ZhiCarpena, PedroStanley, H. E.2020-03-272020-03-272001-07-01K. Hu, P.C. Ivanov, Z. Chen, P. Carpena, H.E. Stanley. 2001. "Effect of trends on detrended fluctuation analysis." Physical Review E, Volume 64, Issue 1. https://doi.org/10.1103/PhysRevE.64.0111141539-3755https://hdl.handle.net/2144/39851The origin and the properties of crossovers in the scaling behavior of noisy signals were studied by applying the detrended fluctuation analysis (DFA) method first on correlated noise and then on noise with trends, and comparing the difference in the scaling results. To this end, an artificial time series was generated using the modified Fourier filtering method. It was shown that the scaling behavior of noise with a trend is a superposition of the scaling of the noise and the apparent scaling of the trend.19 pagesen-US©2001 American Physical SocietyScience & technologyPhysical sciencesPhysics, fluids & plasmasPhysics, mathematicalPhysicsLong-range correlationsNoncoding DNA-sequencesPower-law correlationsHeart-rate dynamicsStatistical physicsTime-seriesLinguistic featuresTemperature-fluctuationsNonlinear-analysisInterval dynamicsAnalysis of varianceBiophysicsModels, statisticalModels, theoreticalNonlinear dynamicsSignal processing, computer- assistedMultivariate analysisModels, theoreticalFluids & plasmasMathematical sciencesEngineeringArticle10.1103/PhysRevE.64.01111493115