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基于EMD-CS的脉冲星周期超快速估计

刘劲1,韩雪侠1,宁晓琳2,陈晓1,康志伟3   

  1. 1. 武汉科技大学
    2. 北京航空航天大学仪器科学与光电工程学院
    3.
  • 收稿日期:2019-09-11 修回日期:2019-10-23 出版日期:2019-10-24 发布日期:2019-10-24
  • 通讯作者: 刘劲
  • 基金资助:
    太阳光波峰到达时间差分量测及其深度组合导航方法研究;面向脉冲星/星光多普勒组合导航的深度融合与智能定位方法;高动态环境下的多普勒测速脉冲星导航研究

Ultra-fast Estimation of Pulsar Period Based on EMD-CS

  • Received:2019-09-11 Revised:2019-10-23 Online:2019-10-24 Published:2019-10-24
  • Contact: Jin Liu

摘要: 面向X射线脉冲星周期估计的压缩感知(Compressed Sensing,CS)中测量矩阵尺寸大,进而导致计算量大。针对这一问题,提出了一种基于EMD-CS(Empirical Mode Decomposition- Compressed Sensing)的脉冲星周期超快速估计方法。将不同畸变度的脉冲轮廓进行EMD分解,得到一系列固有模态函数(Intrinsic Mode Function,IMF)。由于IMF包含了不同时间尺度的局部特征信号,脉冲轮廓畸变度这一微弱局部特征可体现在某些IMF中。采用迭代剔除法剔除冗余的IMF,剩下的IMF构成了测量矩阵。由于IMF的数量较少,采样率大幅减少。利用EMD-CS可实现X射线脉冲星周期超快速估计。通过计算复杂度分析结果可知,采样率与计算量呈正比关系。仿真结果中表明,EMD-CS的采样率为0.25%,

关键词: 周期估计, EMD, CS, 测量矩阵, X射线脉冲星

Abstract: In the compressed sensing (CS) for X-ray pulsar period estimation, the size of measurement matrix is large, which leads to a large amount of calculation. To solve this problem, an ultra-fast pulsar period estimation method based on EMD-CS (Empirical Mode Decomposition- Compressed Sensing) is proposed. The pulse profiles of multi-distortions are decom-posed by EMD to obtain a series of intrinsic mode functions(IMFs). As the IMFs contain local characteristic signals at different time scales, the weak local features of the pulse profile distortion can be reflected in some IMFs. The iteration and elimination method is used to eliminate redundant IMFs, and the remaining IMFs form the measurement matrix. Due to the small number of IMFs, the sampling rate is greatly reduced. By the EMD-CS method, we can realize ultra-fast pe-riod estimation of X-ray pulsars. From the results of calculation complexity analysis, we can know that the sampling rate is proportional to the amount of calculation. The simulation results show that the sampling rate of EMD-CS is 0.25%, which is only 1/29 of FFT-CS. Thus, the calculation amount of EMD-CS is smaller than that of FFT-CS.

Key words: period estimation, EMD, CS, measurement matrix, X-ray pulsar

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