Time Delay Estimation Method for X-ray Pulsars Based on The Optimal Number of Bispectral Feature Points

Abstract

To enhance the accuracy and efficiency of X-ray pulsars time delay estimation, a novel time delay estimation method for X-ray pulsars based on the optimal number of bispectral feature points is proposed. The approach establishes the relationship between the time delay estimation error and the number of bispectral feature points used under different signalto-noise ratios, and gives a method to determine the optimal number of bispectral feature points involved in the estimation. We conduct simulation experiments for HXMT-Insight satellite observations of the Crab pulsar on Matlab R2017b. Results indicate that the average running time of the proposed algorithm is 50ms and the average error during observation intervals below 50s is 99. 0083us. Compared to the traditional bispectrum method, the proposed algorithm exhibits slightly higher accuracy and significantly improved running time.