The Maximum-likelihood Estimate of TOA Accuracy for X-ray Pulsar Signal Based on Poisson Process

Computer Science – Performance

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Pulsars: General, Pulsars: Individual, X-Rays: Binaries, Methods: Data Analysis

Scientific paper

The cycle-stationary Poisson model of photon arrival of X-ray pulsar and pulse time of arrival (TOA) are discussed. Based on this model, the maximum-likelihood estimate (MLE) of TOA is presented as well as the Cramer-Rao boundary (CRB), especially for the low- RSN (signal to noise ratio) cases. Using its analytic pulse profile, the Monte Carlo simulation of MLE for PSR B1821-24 is carried out and the timing error performance is analyzed and compared with the theoretical CRB under different observational durations and different RSN. The RSN threshold effect is observed and its significance is discussed. Results show that this method is an effective analysis tool to calculate the TOA precision of X-ray pulsar and would help to evaluate the corresponding performance in other applications.

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