基于EMD-CS的脉冲星周期超快速估计

doi:10.7527/S1000-6893.2019.23486

星光导航技术专栏

本期目录 | 过刊浏览 | 高级检索

前一篇 | 后一篇

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³, 康志伟⁴

1. 武汉科技大学信息科学与工程学院, 武汉 430081;
2. 北京航空航天大学仪器科学与光电工程学院, 北京 100191;
3. 上海卫星工程研究所, 上海 200240;
4. 湖南大学信息科学与工程学院, 长沙 410082

收稿日期:2019-09-11 修回日期:2019-09-29 出版日期:2020-08-15 发布日期:2019-10-24
通讯作者: 刘劲 E-mail:liujin@wust.edu.cn
基金资助:
国家自然科学基金（61873196，61501336，61772187）

Ultra-fast estimation of pulsar period based on EMD-CS

LIU Jin¹, HAN Xuexia¹, NING Xiaolin², CHEN Xiao³, KANG Zhiwei⁴

1. School of Information Science and Engineering, Wuhan University of Science and Technology, Wuhan 430081, China;
2. School of Instrumentation Science and Opto-electronics Engineering, Beihang University, Beijing 100191, China;
3. Shanghai Institution of Satellite Engineering, Shanghai 200240, China;
4. College of Computer Science and Electronic Engineering, Hunan University, Changsha 410082, China

Received:2019-09-11 Revised:2019-09-29 Online:2020-08-15 Published:2019-10-24
Supported by:
National Natural Science Foundation of China (61873196,61501336,61772187)

摘要/Abstract

摘要： 面向X射线脉冲星周期估计的压缩感知（CS）中测量矩阵尺寸大，进而导致计算量大。针对这一问题，提出了一种基于经验模态分解-压缩感知（EMD-CS）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（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%，仅为FFT-CS的1/29，因而计算量更小。

关键词: 周期估计, 经验模态分解(EMD), 压缩感知(CS), 测量矩阵, X射线脉冲星

Abstract: In the Compressed Sensing (CS) for X-ray pulsar period estimation, the large size of measurement matrix leads to a large amount of calculation. To solve this problem, an ultra-fast pulsar period estimation method based on Empirical Mode Decomposition-Compressed Sensing (EMD-CS ) is proposed. The pulse profiles of multi-distortions are decomposed by EMD to obtain a series of Intrinsic Mode Functions (IMF). 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 using the EMD-CS method, we can realize ultra-fast period 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

中图分类号:

V249.32+3

刘劲, 韩雪侠, 宁晓琳, 陈晓, 康志伟. 基于EMD-CS的脉冲星周期超快速估计[J]. 航空学报, 2020, 41(8): 623486-623486.

LIU Jin, HAN Xuexia, NING Xiaolin, CHEN Xiao, KANG Zhiwei. Ultra-fast estimation of pulsar period based on EMD-CS[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2020, 41(8): 623486-623486.

参考文献 26

[1]	杨廷高.X射线脉冲星脉冲到达航天器时间测量[J].空间科学学报,2008,28(4):330-334. YANG T G. Determination of X-ray pulsar pulse time of arrival at spacecraft[J]. Chinese Journal of Space Science, 2008,28(4):330-334(in Chinese).
[2]	林晴晴,帅平,黄良伟,等.一种高精度的X射线脉冲星导航TOA估计方法[J].宇航学报,2016,37(6):704-710. LIN Q Q, SHUAI P, HUANG L W, et al. A high precision TOA estimation method for X-ray pulsar-based navigation system[J]. Journal of Astronautics, 2016, 37(6):704-710(in Chinese).
[3]	SHEIKH S I, PINES D J, RAY P S, et al. Spacecraft navigation using X-ray pulsars[J]. Journal of Guidance, Control, and Dynamics, 2006, 29(1):49-63.
[4]	EMADZADEH A A, SPERER J L. X-Ray pulsar-based relative navigation using epoch folding[J]. IEEE Transactions on Aerospace and Electronic Systems, 2011, 47(4):2317-2328.
[5]	ZHANG H, XU L P. An improved phase measurement method of integrated pulse profile for pulsar[J]. Science China, 2011, 54(9):2263-2270.
[6]	孙海峰, 包为民, 方海燕, 等. X射线脉冲轮廓稳定性对导航精度的影响[J]. 物理学报, 2014, 63(6):441-448. SUN H F, BAO W M, FANG H Y, et al. Effect of stability of X-ray pulsar profiles on range measurement accuracy in X-ray pulsar navigation[J]. Acta Physica Sinica, 2014, 63(6):441-448(in Chinese).
[7]	SONG J N, XU G D, DONG L M, et al. Pulse period estimation method based on TOA information[J]. Acta Photonica Sinica, 2017, 46(5):16-25.
[8]	LIU J, WU J, XIONG L, et al. Fast position and velocity determination for pulsar navigation using NML and LSM[J]. Chinese Journal of Electronics, 2017, 26(6):1325-1329.
[9]	褚永辉, 王大轶, 熊凯, 等. X射线脉冲星导航测量延时补偿方法研究[J]. 宇航学报, 2012, 33(11):1617-1622. CHU Y H, WANG D Y, XIONG K, et al. Research on measurement time-delay compensation on X-ray pulsar-based navigation[J]. Journal of Astronautics, 2012, 33(11):1617-1622(in Chinese).
[10]	LIU J, FANG J C, KANG Z W, et al. Novel algorithm for X-ray pulsar navigation against doppler effects[J]. IEEE Transactions on Aerospace and Electronic Systems, 2015, 51(1):228-241.
[11]	HUANG L W, LIANG B, ZHANG T. Pulse phase and doppler frequency estimation of X-ray pulsars under conditions of spacecraft and binary motion and its application in navigation[J]. Science China, Physics, Mechanics and Astronomy, 2013, 56(4):848-858.
[12]	LYNE A G, GRAHAM-SMITH F. Book review:Pulsar astronomy[J]. Journal of the British Astronomical Association, 1999, 109(1):145.
[13]	BURNS W R, CLARK B G. Pulsar search techniques[J]. Astronomy & Astrophysics, 1969, 2(1):280-287.
[14]	李建勋, 柯熙政. 基于循环平稳信号相干统计量的脉冲星周期估计新方法[J]. 物理学报, 2010,59(11):8304-8310. LI J X, KE X Z. Period estimation method for weak pulsars based on coherent statistic of cyclostationary signal[J]. Acta Physica Sinica, 2010, 59(11):8304-8310(in Chinese).
[15]	李建勋, 柯熙政, 赵宝升. 一种脉冲星周期的时域估计新方法[J]. 物理学报, 2012, 61(6):537-543. LI J X, KE X Z, ZHAO B S. A new time-domain estimation method for period of pulsars[J]. Acta Physica Sinica, 2012, 61(6):537-543(in Chinese).
[16]	周庆勇, 姬剑锋, 任红飞. 非等间隔计时数据的X射线脉冲星周期快速搜索算法[J]. 物理学报, 2013, 62(1):525-532. ZHOU Q Y, JI J F, REN H F. The quick search algorithm of pulsar period based on unevenly spaced timing data[J]. Acta Physica Sinica, 2013, 62(1):525-532(in Chinese).
[17]	ZHANG H, XU L P, XIE Q. Modeling and doppler measurement of X-ray pulsar[J]. Science China (Physics, Mechanics & Astronomy), 2011, 54(6):1068-1076.
[18]	谢强, 许录平, 张华. 基于轮廓特征的X射线脉冲星信号多普勒估计[J]. 宇航学报, 2012, 33(9):1301-1307. XIE Q, XU L P, ZHANG H, et al. Doppler estimation of X-ray pulsar signals based on profile feature[J]. Journal of Astronautics, 2012, 33(9):1301-1307(in Chinese).
[19]	DONOHO D L. Compressed sensing[J]. IEEE Transactions on Information Theory, 2006, 52(4):1289-1306.
[20]	BOYER C, BIGOT J, WEISS P. Compressed sensing with structured sparsity and structured acquisition[J]. Applied & Computational Harmonic Analysis, 2019, 46(2):312-350.
[21]	苏哲,许录平,甘伟.基于压缩感知的脉冲星轮廓构建算法[J].中国科学:物理学力学天文学,2011,41(5):681-684. SU Z, XU L P, GAN W. Pulsar profile construction algorithm based on compressed sensing[J]. Scientia Sinica (Physica, Mechanica & Astronomic), 2011, 41(5):681-684(in Chinese).
[22]	康志伟,吴春艳,刘劲,等.基于两级压缩感知的脉冲星时延估计方法[J]. 物理学报, 2018, 67(9):285-292. KANG Z W, WU C Y, LIU J, et al. Pulsar time delay estimation method based on two-level compressed sensing[J]. Acta Physica Sinica, 2018, 67(9):285-292(in Chinese).
[23]	SHEN L R, LI X P, SUN H F, et al. A robust compressed sensing based method for X-ray pulsar profile construction[J]. Optik-International Journal for Light and Electron Optics, 2016, 127(10):4379-4385.
[24]	LIU J, YANG Z H, KANG Z W, et al. Fast CS-based pulsar period estimation method without tentative epoch folding and its CRLB[J]. Acta Astronautica, 2019, 160(1):90-100.
[25]	HUANG N E, ZHENG S, LONG S R, et al. The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis[J]. Proceedings Mathematical Physical & Engineering Sciences, 1998, 454(1971):903-995.
[26]	TAI G, DENG Z. An improved EMD method based on the multi-objective optimization and its application to fault feature extraction of rolling bearing[J]. Applied Acoustics, 2017, 127(1):46-62.

E-mail：hkxb@buaa.edu.cn

关于我们

期刊社服务

专业学科

封面文章

友情链接

主管单位：中国科学技术协会主办单位：中国航空学会北京航空航天大学

基于EMD-CS的脉冲星周期超快速估计

Ultra-fast estimation of pulsar period based on EMD-CS

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献 26

相关文章 14

编辑推荐

Metrics

本文评价

[1]	郑伟, 王禹淞, 姜坤, 王奕迪. X射线脉冲星导航空间试验进展与展望[J]. 航空学报, 2024, 45(6): 28843-028843.
[2]	王禹淞, 王奕迪, 郑伟. 太阳信息辅助的脉冲相位估计方法及导航应用[J]. 航空学报, 2023, 44(S1): 727651-727651.
[3]	郑伟, 王禹淞, 姜坤, 王奕迪. X射线脉冲星导航方法研究综述[J]. 航空学报, 2023, 44(3): 527451-527451.
[4]	熊凯, 魏春岭, 李连升, 周鹏. 基于扩维QLEKF的脉冲星/星间定向组合导航[J]. 航空学报, 2023, 44(3): 526232-526232.
[5]	张大鹏, 呼延宗泊, 李恒年. 基于卫星实测数据的X射线脉冲星导航体制验证[J]. 航空学报, 2023, 44(3): 526510-526510.
[6]	周庆勇, 闫林丽, 李连升, 冯来平, 石永强, 孙鹏飞, 方柳, 王龙. XPNAV⁃1卫星聚焦型X射线脉冲星望远镜在轨稳定性分析[J]. 航空学报, 2023, 44(3): 526610-526610.
[7]	童明雷, 韩孟纳, 杨廷高, 赵成仕, 朱幸芝. 利用Crab脉冲星X射线观测校准星载原子钟频率[J]. 航空学报, 2023, 44(3): 526566-526566.
[8]	盛立志, 郑伟, 苏桐, 张大鹏, 王奕迪, 杨向辉, 徐能, 李治泽. “天枢Ⅱ号”X射线脉冲星导航动态模拟系统及实验验证[J]. 航空学报, 2023, 44(3): 526656-526656.
[9]	印俊秋, 刘云鹏, 汤晓斌. 基于仿脉冲星X射线信标的航天器定位方法[J]. 航空学报, 2023, 44(3): 526596-526596.
[10]	姜坤, 焦文海, 郝晓龙, 刘莹, 王奕迪, 张新源, 国际. 脉冲星试验01星科学试验与成果[J]. 航空学报, 2023, 44(3): 526611-526611.
[11]	许成维, 陶建武. 基于稀疏重构的混叠脉冲序列的周期估计[J]. 航空学报, 2018, 39(7): 322054-322054.
[12]	李连升, 邓楼楼, 梅志武, 吕政欣, 刘继红, 左富昌. 基于Monte Carlo的聚焦型X射线脉冲星望远镜多物理场耦合分析方法[J]. 航空学报, 2016, 37(4): 1249-1260.
[13]	张劲东, 张弓, 潘汇, 贲德. 基于滤波器结构的压缩感知雷达感知矩阵优化[J]. 航空学报, 2013, 34(4): 864-872.
[14]	叶浩欢, 柳征, 姜文利. 基于自适应步长选择的周期格型线搜索估计[J]. 航空学报, 2012, 33(8): 1498-1507.