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cross correlation test
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simple cross correlation. Auto-correlation is the correlation of a time series with itself. You can use the auto-correlation method to capture periodic components in a univariate time series without other reference time series. The auto-correlation operation preserves the frequency and amplitude information of periodic components but does not preserve the phase information. The following figure shows two noise-contaminated, phase-jittered time series and the resulting auto-correlation plots. In the Auto-Correlation 1 and Auto-Correlation 2 graphs, you can see that auto-correlation greatly attenuates the noise in the original
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