Using Lomb-Scargle Periodograms to Identify Periodic Genes in ...
Using Lomb-Scargle Periodograms to Identify Periodic Genes in ...
Using Lomb-Scargle Periodograms to Identify Periodic Genes in ...
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<strong>Lomb</strong>-<strong>Scargle</strong> PeriodogramExample <strong>Us<strong>in</strong>g</strong> Cos<strong>in</strong>e Expression ModelExpression-1.0 0.0 0.5 1.0Cos<strong>in</strong>e Curve (N=48)N = 480 10 20 30 40A small valuefor the false-alarmprobability <strong>in</strong>dicatesa highly significantperiodic signal.Time [hours]T = 1fNormalized Power Spectral Density0 5 10 20<strong>Lomb</strong>-<strong>Scargle</strong> PeriodogramPeriod at Peak = 48 hoursp = 1e-06p = 1e-05p = 1e-04p = 0.001p = 0.01p = 0.050.00 0.05 0.10 0.15 0.20Probability0.0 0.4 0.8Peak Significancep = 3.3e-009 at Peak0.00 0.05 0.10 0.15 0.20Frequency [1/hour]Frequency [1/hour]Evenly-spaced time po<strong>in</strong>ts8
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