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利用有限的观测时间获得高精度的累积脉冲轮廓,对于X射线脉冲星导航具有重要意义.提出一种基于压缩感知的脉冲星累积脉冲轮廓重构算法.首先,研究脉冲轮廓,获取先验知识,在此基础上构建波形匹配冗余词典,得到脉冲轮廓的稀疏表示;然后,设计观测矩阵,利用原始观测数据得到具有较少点数的非自适应随机测量值;最后,采用匹配追踪方法从随机测量值中恢复脉冲轮廓.利用罗希X射线探测器的实测脉冲星数据进行实验,结果表明:利用相同时段的观测数据,该算法得到的累积脉冲轮廓的信噪比远高于周期叠加方法得到的累积脉冲轮廓.
It is of great significance for x-ray pulsar navigation to obtain high-precision cumulated pulse profile with limited observation time.This paper proposes a compressed pulse reconstruction algorithm based on compressive perception of pulsar.Firstly, the pulse profile is studied to acquire prior knowledge, On the basis of this, a redundant dictionary of waveform matching is constructed and the sparse representation of the pulse profile is obtained. Then, the observational matrix is designed and the original observations are used to get the non-adaptive random measurements with fewer points. Finally, The results show that the signal-to-noise ratio of the cumulative pulse profile obtained by this algorithm is much higher than that obtained by the periodic superposition method using the observed data from the same period of time Accumulate pulse profile.