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Mathematical Problems in Engineering
Volume 2016, Article ID 4238165, 10 pages
Research Article

X-Ray Pulsar Profile Recovery Based on Tracking-Differentiator

College of Aerospace Science and Engineering, National University of Defense Technology, Changsha 410073, China

Received 2 February 2016; Revised 7 May 2016; Accepted 9 May 2016

Academic Editor: Yuming Qin

Copyright © 2016 Dapeng Zhang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The profile recovery is an important work in X-ray pulsar-based navigation. It is a key step for the analysis on the pulsar signal’s characteristic and the computing of time of arrival (TOA). This paper makes an argument for an algorithm based on the tracking-differentiator (TD) to recover the profile from the low Signal-to-Noise Ratio (SNR) signals. In the method, a TD filter with cascade structure is designed which has very low phase delay and amplitude distortion. In the simulation experiment, two typical pulsars (PSR B0531+21 and PSR B1937+21) are used to verify the algorithm’s performance. The simulation results show that the method satisfies the application requirements in the aspects of SNR and profile fidelity. By processing the data collected by the Rossi X-Ray Timing Explorer (RXTE) satellite in space, similar results can also be achieved.