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Novel Method for Pulsar Profile Recovery with Variational Bin Based on the Distribution of Equal Photon

  

  • Received:2022-09-29 Revised:2023-01-04 Online:2023-01-12 Published:2023-01-12

Abstract: For most existing methods of pulsar profile recovery, the observation profiles are folded based on the distribution of equal bin interval. This strategy will result in signal processing results limited by bin, and make it difficult to give consid-eration to both the SNR (signal-to-noise ratio) of profile and the estimation accuracy of pulse TOA. In order to solve this problem, combined with the influence of different regions of pulse profile on signal processing, a profile recovery meth-od based on the distribution strategy of equal photon number is studied, and bin changes according to the photon TOAs. In addition, to be able to build the best observation pulse profile directly, the optimization of variable bin interval and number is considered simultaneously, the optimal bin number for profile recovery is analyzed using the information criterion. It gets rid of using human experience to determine the number of bin. Simulation results show that, the pro-posed method can accurately recover the observation profiles similar to the pulsar template. Compared to traditional method, the calculation accuracy of phase difference during signal processing can be improved by more than 25% with sufficient observation data. And in case of insufficient observation data or for millisecond pulsars, the advantages of this method are more obvious. The features of recovered profile are more prominent, and the similarity index with the template is improved about 3-7%. The improvement in the corresponding calculation accuracy of phase difference can reach nearly 50%. Therefore, the principle and implementation of the proposed profile recovery method are simple, and it can effectively improve the accuracy of pulsar signal processing. The method is also suitable for practical engineering applications.

Key words: Epoch Folding, Profile Recovery, Distribution of Equal Photon Number, Varying Bin, Optimal Bin Number, Signal Processing

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