Abstract
A fast generation method for the X-ray pulsar signal, which utilizes the Gaussian distribution to generate the photon sequence instead of the generally used Poisson distribution, is presented for the simulation system of the X-ray pulsar-based autonomous navigation. Employing the basic principle of the X-ray photon detector, the mathematical model of the Poisson point process of the X-ray pulsar light curve is defined using the cyclostationary inhomogeneous Poisson process at the Solar System Barycenter (SSB). Followed by a brief introduction of the traditional methods, the idea of the signal generation method is introduced based on the pulsar signal model. Then the proposed method is discussed in detail and we give the rigrous proof for its correctness. The dead time of the detector has also been considered in the signal generation procedure. The computational complexity of the proposed method is analyzed and compared with traditional methods. Numerical experiments show that the proposed method greatly reduces the computational complexity compared with the traditional ones. The accordance of the simulated data with the real data is verified by several ways including profile verification, chi-squared test, photon statistics comparison and spectrum analysis.
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