The Why & How of X-Ray Timing - HEASARC - NASA
The Why & How of X-Ray Timing - HEASARC - NASA
The Why & How of X-Ray Timing - HEASARC - NASA
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Fourier Transform & FFT• Given a light curve {x}with N samples, Fouriercoefficients are:a j = ∑ k x k exp(2πijk/N),[ j = – N / 2 ,…,0, N / 2 –1],usually computed with aFast Fourier Transform(FFT) algorithm, e.g., withthe powspec tool.• Power density spectrum(PDS):P j = 2 ⁄ Nph|a j | 2[Leahy normalization]Use Pj / (fractionalRMS normalization) toplot ( rms / mean ) 2 Hz –1 , <strong>of</strong>tendisplayed and rebinned ina log-log plot.
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