Sensitivity loss in X-ray timing analysis.

Astronomy and Astrophysics – Astrophysics

Scientific paper

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X-Rays: General, Data Analysis

Scientific paper

Calculations have been carried out to simulate the effect that data overflows have on X-ray timing observations when the data values are binned in equal time intervals, as is anticipated for some bright X-ray sources in the USA experiment (Wood et al. 1993). Simulated data sets have been generated with Poisson noise and two 5% amplitude cosine waves which were then subject to standard Fast Fourier Transform (FFT) analysis. This was done for a series of average count rates and 1-bit, 2-bit, and 4-bit "data" values, assuming that any overflows would reset the counter to zero. We find that overflows produce a significantly worse loss of sensitivity for 1-bit data recording than for 2-bit data recording. In both cases a factor of 10 power response loss occurs when the dimensionless parameter x =S_0DELTAt/(2^n^-1) (where S_0_ is the mean source count rate, {DELTA}t is the time sampling interval, and n is the number of data bits available) is 0.65, but for n=2 the loss of response is more gradual up until x=~0.5. With Poisson noise the effect of overflows can be seen from the mean value of the power spectrum if the normalization of Leahy et al. (1983) is used.

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