基于等光子分布的变封装段脉冲星轮廓恢复方法

doi:10.7527/S1000-6893.2022.28073

Abstract

Abstract:

For most existing methods for pulsar profile recovery， the observation profiles are folded based on the distribution of equal bin interval. With this strategy， the signal processing results will be limited by bin， making it difficult to give consideration to both the Signal-to-Noise Ratio （SNR） of profile and the estimation accuracy of pulse Time of Arrival （TOA）. To solve this problem， considering the influence of different regions of pulse profile on signal processing， a profile recovery method based on distribution strategy of equal photon number is studied， and bin changes according to the complete observation information. In addition， to be able to build the best observation pulse profile directly， optimization of variable （varying？） bin interval and number is considered simultaneously， and the optimal bin number for profile recovery is analyzed using the information criterion. Human experience is thus eliminated in determining the number of bin. Simulation results show that the proposed method can accurately recover the observation profiles similar to the pulsar template. Compared to traditional methods， the proposed method can improve the calculation accuracy of phase difference during signal processing by more than 25% with sufficient observation data. In case of insufficient observation data or for millisecond pulsars， the advantages of the method are more obvious， with more prominent features of recovered profile， 3%-7% increase of the index of similarity with the template， and nearly 50% improvement of the corresponding calculation accuracy of phase difference. With simple principle and implementation， the proposed method can effectively improve the accuracy of pulsar signal processing， and is applicable for engineering applications.

Key words: epoch folding, profile recovery, distribution of equal photon number, variational bin, optimal bin number, signal processing

CLC Number:

V448.2

Zhize LI, Wei ZHENG, Yidi WANG. Novel method for pulsar profile recovery with variational bin based on distribution of equal photon[J]. Acta Aeronautica et Astronautica Sinica, 2023, 44(16): 328073.

Figures/Tables 20

Fig.1

Fig.2

Fig.3

Fig.4

Table 1

Fig.5

Fig.6

Table 2

Fig.7

Fig.8

Table 3

Fig.9

Fig.10

Table 4

Fig.11

Fig.12

Table 5

Fig.13

Fig.14

Table 6

References 25

1	CHESTER T， BUTMAN S. Navigation using X-ray pulsars： 19810018591 ［R］. Washington， D.C.： NASA， 1981.
2	EMADZADEH A A， SPEYER J L. Navigation in space by X-ray pulsars［M］. New York： Springer New York， 2011.
3	郑伟，王奕迪，汤国建. X射线脉冲星导航理论与应用［M］. 北京：科学出版社， 2015： 8-20.
	ZHENG W， WANG Y D， TANG G J. X-ray pulsar-based navigation： Theory and applications［M］. Beijing： Science Press， 2015： 8-20 （in Chinese）.
4	ZHENG W， WANG Y D. X-ray pulsar-based navigation： Theory and applications. Navigation： Science and technology 5［M］. London： Springer Press， 2020： 11-12.
5	SHUAI P， CHEN S L， Wu Y F andet al. Technology and prospect analysis of X-ray pulsar navigation［J］. Aerospace， 2006（10）： 27-32.
6	SONG F N， ZHANG M J， ZHENG Q Y and et al. X-ray detectors in pulsars-based navigation system［J］. Journal of Chinese Inertial Technology， 2009（16）： 682-686.
7	LYNE A， GRAHAM-SMITH F. Pulsar astronomy［M］. Cambridge： Cambridge University Press， 2012： 7-9.
8	赵成仕，高玉平，童明雷. 天然时钟—脉冲星时间尺度［J］. 科学， 2018， 70（5）： 44-47.
	ZHAO C S， GAO Y P， TONG M L. Natural clock—pulsar time scale［J］. Science， 2018， 70（5）： 44-47 （in Chinese）.
9	毛悦. X射线脉冲星导航算法研究［D］. 郑州：解放军信息工程大学， 2009： 1-2.
	MAO Y. Research on X-ray pulsar navigation algorithms［D］. Zhengzhou： PLA Information Engineering University， 2009： 1-2 （in Chinese）.
10	WINTERNITZ L B， HASSOUNEH M A， MITCHELL J W， et al. SEXTANT X-ray pulsar navigation demonstration： Additional on-orbit results： AIAA-2018-2538［R］. Reston： AIAA， 2018.
11	黄良伟，帅平，张新源，等. 脉冲星导航试验卫星时间数据分析与脉冲轮廓恢复［J］. 中国空间科学技术， 2017， 37（3）： 1-10.
	HUANG L W， SHUAI P， ZHANG X Y， et al. XPNAV-1 satellite timing data analysis and pulse profile recovery［J］. Chinese Space Science and Technology， 2017， 37（3）： 1-10 （in Chinese）.
12	LI T P， XIONG S L， ZHANG S N， et al. Insight-HXMT observations of the first binary neutron star merger GW170817［DB/OL］. arXiv preprint： 1710.06065， 2017.
13	WANG Y D， ZHANG W. Pulsar phase and Doppler frequency estimation for XNAV using on-orbit epoch folding［J］. IEEE Transactions on Aerospace and Electronic Systems， 2016， 52（5）： 2210-2219.
14	HUIJSE P， ESTEVEZ P A， PROTOPAPAS P， et al. An information theoretic algorithm for finding periodicities in stellar light curves［J］. IEEE Transactions on Signal Processing， 2012， 60（10）： 5135–5145.
15	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）： 019701.
	ZHOU Q Y， JI J F， REN H F. Quick search algorithm of X-ray pulsar period based on unevenly spaced timing data［J］. Acta Physica Sinica， 2013， 62（1）： 019701 （in Chinese）.
16	ZHANG H， XU L P， SHEN Y H， et al. A new maximum-likelihood phase estimation method for X-ray pulsar signals［J］. Journal of Zhejiang University SCIENCE C， 2014， 15（6）： 458-469.
17	高国荣，刘艳萍，潘琼. 基于小波域可导阈值函数与自适应阈值的脉冲星信号消噪［J］. 物理学报， 2012， 61（13）： 139701.
	GAO G R， LIU Y P， PAN Q. A differentiable thresholding function and an adaptive threshold selection technique for pulsar signal denoising［J］. Acta Physica Sinica， 2012， 61（13）： 139701 （in Chinese）.
18	WINTERNITZ L M B， HASSOUNEH M A， MITCHELL J W， et al. X-ray pulsar navigation algorithms and testbed for SEXTANT［C］∥ 2015 IEEE Aerospace Conference. Piscataway： IEEE Press， 2015： 1-14.
19	WANG Y D， ZHENG W. Pulse phase estimation of X-ray pulsar with the aid of vehicle orbital dynamics［J］. Journal of Navigation， 2016， 69（2）： 414-432.
20	EMADZADEH A A. Relative navigation between two spacecraft using X-ray pulsars［D］. Los Angeles： University of California， 2009： 32-36.
21	HANSON J E. Principles of X-ray navigation［D］. Stanford： Stanford University， 1996： 25-31.
22	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.
23	XUE M F， PENG D L， SUN H F， et al. X-ray pulsar navigation based on two-stage estimation of Doppler frequency and phase delay［J］. Aerospace Science and Technology， 2021， 110： 106470.
24	LORIMOR D and KRAMER M. Handbook of pulsar astronomy［M］. Cambridge： Cambridge Press， 2012： 22-34.
25	SHEIKH S I. The use of variable celestial X-ray sources for spacecraft navigation［D］. Park： University of Maryland， College Park， 2005：87-95.

仿真参数	Crab数值	B1821-24数值
脉冲流量α/（ph·s^-1）	660	0.093
背景流量β/（ph·s^-1）	13 860.2	0.22
信号周期/ms	33.4	3.05
仿真数据时长/（10³s）	1.8	30

bin数	变bin方法恢复轮廓相似度/%	传统折合方法恢复轮廓相似度/%
252 （最佳）	99.89	99.84
100	99.75	99.71
1 000	99.51	99.46
10 000	93.62	94.34

bin数	变bin方法恢复轮廓相似度/%	传统折合方法恢复轮廓相似度/%
41 （最佳）	91.94	84.33
15	85.67	81.01
100	89.24	86.39
500	78.58	79.45

bin数	变bin方法恢复轮廓相似度 /%	传统折合方法恢复轮廓相似度 /%
327 （最佳）	99.76	99.73
100	99.34	99.15
1 000	97.37	97.86
10 000	92.29	91.78

bin数	变bin方法恢复轮廓相似度/%	传统折合方法恢复轮廓相似度/%
23 （最佳）	84.26	81.33
10	79.52	78.97
100	67.38	65.61
500	32.17	33.65

Novel method for pulsar profile recovery with variational bin based on distribution of equal photon

RichHTML

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

Figures/Tables 20

References 25

Related Articles 15

Recommended Articles

Metrics

Comments

脉冲星	观测号	观测时间段（UTC）
B0531+21	Obs_ID： 1013010147	2018⁃12⁃26 02：00-19：40
B1821-24	Obs_ID： 1070010184	2018⁃03⁃30 00：10-22：00
B1937+21	Obs_ID： 1070020399	2018⁃11⁃26 01：30-23：25

[1]	You HE, Yu LIU, Yaowen LI, Ziran DING, Kai DONG, Yaqi CUI, Caisheng ZHANG, Xueqian WANG, Zhi LI, Chen GUO. Development and prospects of multisource information fusion [J]. Acta Aeronautica et Astronautica Sinica, 2025, 46(6): 531672-531672.
[2]	Lu WANG, Li WANG, Lin LI, Shaogang GUO, Ran ZHENG, Hengkang ZHANG. Microwave photonic frequency measurement technology based on frequency-to-time mapping [J]. Acta Aeronautica et Astronautica Sinica, 2025, 46(3): 629873-629873.
[3]	Wei ZHENG, Yusong WANG, Kun JIANG, Yidi WANG. Space experiments on X-ray pulsar navigation: Progress and prospects [J]. Acta Aeronautica et Astronautica Sinica, 2024, 45(6): 28843-028843.
[4]	Minghui HU, Jinji GAO, Zhinong JIANG, Weimin WANG, Limin ZOU, Tao ZHOU, Yunfeng FAN, Yue WANG, Jiaxin FENG, Chenyang LI. Research progress on vibration monitoring and fault diagnosis for aero-engine [J]. Acta Aeronautica et Astronautica Sinica, 2024, 45(4): 630194-630194.
[5]	Yusong WANG, Yidi WANG, Wei ZHENG. Solar information assisted pulse phase estimation method and navigation application [J]. Acta Aeronautica et Astronautica Sinica, 2023, 44(S1): 727651-727651.
[6]	Guodong XU, Danlei ZHANG, Zhendong XU. Arrival time processing method of pulsar characteristic frequency signals [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(3): 526185-526185.
[7]	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.
[8]	Jinwei JIA, Limin LIU, Zhuangzhi HAN, Hui XIE. Design of anti-SDIF radio frequency stealth signal and echo signal processing technology based on compressed sensing [J]. Acta Aeronautica et Astronautica Sinica, 2023, 44(13): 327934-327934.
[9]	Yiwen LI, Zhaohui DEND, Tao LIU, Rongjin ZHUO, Zhongyang LI, Lishu LV. Review on on⁃line monitoring of chatter in cutting process [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(11): 27562-027562.
[10]	LU Zhiyu, WANG Jianhui, BA Bin, WANG Daming. Direct position determination algorithm based on modified cubature Kalman filter [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2018, 39(9): 322031-322038.
[11]	ZHANG Shurui, MA Xiaofeng, SHENG Weixing, HAN Yubing. Sparse optimization for weight coefficient of wideband frequency invariant beamforming [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2017, 38(7): 320794-320794.
[12]	YU Xiang, LI Dan, ZHANG Jianqiu. A robust beamformer with a polarization sensitive array and polarization estimation [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2017, 38(6): 320752-320752.
[13]	YAN Xuezhi, WEN Yanxin, LIU Guohong, CHEN Jian. Broadband signal DOA estimation based on sparse representation and l₀-norm approximation [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2017, 38(6): 320705-320705.
[14]	ZENG Wenhao, ZHU Xiaohua, LI Hongtao, MA Yigeng, CHEN Cheng. A 2D DOA estimation method for sparse array [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2016, 37(7): 2269-2275.
[15]	ZENG Wenhao, ZHU Xiaohua, LI Hongtao, CHEN Cheng, MA Yigeng. 2D adaptive beamforming algorithm based on matrix completion [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2016, 37(5): 1573-1579.