基于EMD-CS的脉冲星周期超快速估计

doi:10.7527/S1000-6893.2019.23486

Abstract

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

CLC Number:

V249.32+3

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.

References 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.

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

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

References 26

Related Articles 15

Recommended Articles

Metrics

Comments

[1]	Kai XIONG, Chunling WEI, Liansheng LI, Peng ZHOU. Pulsar/inter-satellite LOS integrated navigation based on augmented QLEKF [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(3): 526232-526232.
[2]	Qingyong ZHOU, Linli YAN, Liansheng LI, Laiping FENG, Yongqiang SHI, Pengfei SUN, Liu FANG, Long WANG. On⁃orbit stability analysis of FXPT on XPNAV⁃1 [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(3): 526610-526610.
[3]	Minglei TONG, Mengna HAN, Tinggao YANG, Chengshi ZHAO, Xingzhi ZHU. Correcting frequency of a spaceborne atomic clock using X-ray observations of Crab pulsar [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(3): 526566-526566.
[4]	Dapeng ZHANG, Zongbo HUYAN, Hengnian LI. X-ray pulsar-based navigation verification based on satellite measured data [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(3): 526510-526510.
[5]	Lizhi SHENG, Wei ZHENG, Tong SU, Dapeng ZHANG, Yidi WANG, Xianghui YANG, Neng XU, Zhize LI. Ground test bench for X-ray pulsar navigation dynamic simulation [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(3): 526656-526656.
[6]	Junqiu YIN, Yunpeng LIU, Xiaobin TANG. Spacecraft positioning method based on pulsar-like X-ray beacon [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(3): 526596-526596.
[7]	Kun JIANG, Wenhai JIAO, Xiaolong HAO, Ying LIU, Yidi WANG, Xinyuan ZHANG, Ji GUO. Scientific experiments and achievements of XPNAV-1 [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(3): 526611-526611.
[8]	Dawei HAN, Shijie ZHENG, Youli TUO, Mingyu GE, Liming SONG, Xinqiao LI, Xiangyang WEN, Shaolin XIONG. Orbit determination analysis using Crab observation data of GECAM mission [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(3): 526641-526641.
[9]	Fuchang ZUO, Zhiwu MEI, Loulou DENG, Hao ZHOU, Xiaomin BEI, Yueming LI. Focusing optics for intensity-correlated measurement of pulsar angular position [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(3): 527124-527124.
[10]	Wei ZHENG, Yusong WANG, Kun JIANG, Yidi WANG. Overview of X-ray pulsar-based navigation methods [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(3): 527451-527451.
[11]	Liansheng LI, Zhiwu MEI, Jun XIE, Kun JIANG, Yongqiang SHI, Zhen CAO, Fuchang ZUO. A review of applications of X⁃ray focused optics in field of pulsar detection [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(3): 528286-528286.
[12]	Feng HE, Li ZHANG, Sifan YU, Xuan ZHOU. Schedulability analysis for multi-window partition based on network calculus model [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(2): 326581-326581.
[13]	Fangcheng SHI, Zhenxun GAO, Yuyan TIAN, Chongwen JIANG, Tiantian WANG, Chun-Hian LEE. Large eddy simulation of ideally expanded supersonic jet noise [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(2): 626266-626266.
[14]	Jianling QIAO, Zhonghua HAN, Yulin DING, Wenping SONG, Bifeng SONG. Effects of stratified atmospheric turbulence on farfield sonic boom propagation [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(2): 626350-626350.
[15]	Weihua LI, Junlong GUO, Liang DING, Haibo GAO. State of art and prospects of ground teleoperation technology for lunar rover [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(1): 26333-026333.