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. 2015 Jan 30;5:8143. doi: 10.1038/srep08143

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(a–c) show fractions of the three sinusoidal signals in test II: , , and . acts as a background field, with low-varying frequency and larger amplitude. , and have different phases (see the gray part), and their combination is shown in (d). The red curve in (e) is the DCCA cross-correlation coefficient ρ_DCCA between and (denoted as ρ_DCCA results II), and the blue dashed line shows the time scale of 100 (days). If the signal in is offset by , ρ_DCCA fails in providing accurate results, as shown in (e), the black open-circle curve (denoted as ρ_DCCA results I). But DPCCA succeeds, as shown in (f), the black solid-circle curve.

Inline graphic — (a–c) show fractions of the three sinusoidal signals in test II: , , and . acts as a background field, with low-varying frequency and larger amplitude. , and have different phases (see the gray part), and their combination is shown in (d). The red curve in (e) is the DCCA cross-correlation coefficient ρ_DCCA between and (denoted as ρ_DCCA results II), and the blue dashed line shows the time scale of 100 (days). If the signal in is offset by , ρ_DCCA fails in providing accurate results, as shown in (e), the black open-circle curve (denoted as ρ_DCCA results I). But DPCCA succeeds, as shown in (f), the black solid-circle curve.