A Method for Acquiring X-ray Pulsar Observation Profiles Based on the Blackman-Tukey Method

The X-ray pulsar radiation flux is relatively small, and in navigation applications, it is limited by the real-time and accuracy requirements of navigation, urgently needing to solve the problem of obtaining high-precision profiles under short-time observations. This article analyzes the characteristics of X-ray pulsar radiation signals, and based on the mathematical operational relationship between the amplitude spectrum of the frequency spectrum and power spectrum, as well as the Wiener-Khintchine theorem, employs the Blackman-Tukey method with windowed smoothing to improve the quality of the power spectrum. By adjusting the number of bins in statistical folding, the quality of the phase spectrum is improved, thereby enhancing the quality of the observed profiles spectrum. Furthermore, the optimal lag window width is determined by analyzing the relationship between the lag window width and the quality of the observed profiles. Numerical and experimental results with actual data show that, under short-time observations or when the radiation flux is small, this method outperforms epoch folding and existing method for obtaining high signal-to-noise ratio profiles in short-time observations, and can be used for profiles acquisition under short-time observations.