Fast On-orbit Pulse Phase Estimation of X-ray Crab Pulsar for XNAV Flight Experiments
Yidi Wang, Shuangnan Zhang, Minyu Ge, Wei Zheng, Xiaoqian Chen, Shijie, Zheng, Fangju Lu

TL;DR
This paper introduces XTITAN, a fast on-orbit pulse phase estimation algorithm for Crab pulsar data, significantly reducing computation time for X-ray pulsar navigation, enabling real-time onboard processing.
Contribution
The paper presents a novel, efficient algorithm for on-orbit pulse phase estimation that outperforms existing methods in speed, suitable for real-time space navigation applications.
Findings
XTITAN is 58 times faster than NICER's grid search method.
XTITAN is 180 times faster than SEPO used in Insight-HXMT experiments.
The algorithm effectively estimates pulse phase and satellite position iteratively.
Abstract
The recent flight experiments with Neutron Star Interior Composition Explorer (\textit{NICER}) and \textit{Insight}-Hard X-ray Modulation Telescope (\textit{Insight}-HXMT) have demonstrated the feasibility of X-ray pulsar-based navigation (XNAV) in the space. However, the current pulse phase estimation and navigation methods employed in the above flight experiments are computationally too expensive for handling the Crab pulsar data. To solve this problem, this paper proposes a fast algorithm of on-orbit estimating the pulse phase of Crab pulsar called X-ray pulsar navigaTion usIng on-orbiT pulsAr timiNg (XTITAN). The pulse phase propagation model for Crab pulsar data from \textit{Insight}-HXMT and \textit{NICER} are derived. When an exposure on the Crab pulsar is divided into several sub-exposures, we derive an on-orbit timing method to estimate the hyperparameters of the pulse phase…
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