基于衰减记忆高斯和滤波的星间精密测距技术

李理敏; 马陆; 任前义; 余金培

doi:10.3724/SP.J.1146.2010.00320

基于衰减记忆高斯和滤波的星间精密测距技术

doi: 10.3724/SP.J.1146.2010.00320

李理敏^{*①② 马陆,},
马陆,
任前义,
余金培

基金项目:

上海市自然科学基金(10ZR1429100)和上海市优秀学科带头人计划(08XD14038)资助课题

计量
- 文章访问数: 3288
- HTML全文浏览量: 98
- PDF下载量: 841
- 被引次数: 0
出版历程
- 收稿日期: 2010-03-29
- 修回日期: 2010-11-10
- 刊出日期: 2011-02-19

Precise Intersatellite Ranging Technique Based on Fading Memory Gaussian Sum Filtering

Li Li-Min^{*①② 马陆
,},
Ma Lu,
Ren Qian-Yi,
Yu Jin-Pei

摘要

摘要: 星间精密测距是导航星座实现自主导航的核心技术。针对导航星座中码测量值精度低但无整周模糊度，载波相位测量值精度高但存在整周模糊度的特点，该文根据贝叶斯递推原理提出了一种衰减记忆高斯和滤波(Fading Memory Gaussian Sum Filter, FMGSF)的伪距估计方法。该方法用高斯和形式近似表示系统后验概率密度，并根据卡尔曼滤波原理来更新高斯项的均值和方差，同时引入衰减记忆因子克服由于模型失配导致的滤波结果发散问题，利用重采样解决由于载波相位测量值不确定导致的算法复杂度增加问题。理论分析和仿真结果表明，该文提出的方法不仅能够克服周跳对伪距估计的影响，而且可以获得更好的测距精度。
- 卫星间精密测距 /
- 衰减记忆 /
- 高斯和滤波 /
- Hatch滤波 /
- 周跳
Abstract: Precise ranging is the core technology of autonomous navigation. For code measurements yield noisy but unambiguous pseudorange estimates and the pseudorange obtained with carrier phase measurements are almost noiseless but are affected by integer ambiguity, a Fading Memory Gaussian Sum Filter (FMGSF) algorithm based on Bayesian recursive relations is proposed. Posteriori probability?density is approximated as a finite Gaussian mixture, the means and variances of Gaussian terms are updated according to the principle of Kalman filter. Fading memory factor is imported to avoid the issue of filter divergence due to mismodeling and resampling is performed to resolve the issue of increasing in computational complexity caused by carrier phase measurement uncertainty. Theoretical analysis and simulation results show that this algorithm can overcome the effect of cycle slips to a certain extent and achieve higher range accuracy.
- Precise intersatellite ranging /
- Fading memory /
- Gaussian sum filter /
- Hatch filter /
- Cycle slip

HTML全文

参考文献(1)

[1] Abusali P A M, Tapley B D, and Schutz B E. Autonomous navigation of global positioning system satellites using cross-link measurements[J].Journal of Guidance, Control, and Dynamics.1998, 21(2):321-327 [2] Ananda M P, Bernstein H, Cunningham K E, Feess W A, and Stroud E G. Global Positioning System (GPS) autonomous navigation[C]. Position Location and Navigation Symposium, Las Vegas, USA, 1990: 497-508. [3] Psiaki M L. Autonomous orbit determination for two spacecraft from relative position measurements[J]. AIAA, American Institute of Aeronautics and Astronautics, 1998, 98(4560): 1-12. [4] Khaloozadeh H and Karsaz A. Modified input estimation technique for tracking manoeuvring targets[J]. The Institution of Engineering and Technology, 2009, 3(1): 30-41. [5] 谢钢. GPS原理与接收机设计[M]. 北京：电子工业出版社, 2009: 69-77. Xie Gang. Principles of GPS and Receiver Design[M]. Beijing: Publishing House of Electronics Industry, 2009: 69-77. [6] Hatch R. The synergism of GPS code and carrier measurements[C]. Proceedings of the Third International Geodetic Symposium on Satellite Doppler Positioning, New Mexico, 1982: 1213-1231. [7] Tertinek S, Teplinsky A, and Feely O. Phase jitter dynamics of first-order digital phase-locked loops with frequency-modulated input[C]. IEEE International Symposium on Circuits and Systems, Seattle, WA, 2008: 1544-1547. [8] Simon D. Optimal State Estimation Kalman.[J].H Infinity, and Nonlinear[M]. Hoboken, New Jersey: John Wiley Sons, Inc.2006,:- [9] Kotecha J H and Djuric P M. Gaussian sum particle filtering[J].IEEE Transactions on Signal Processing.2003, 51(10):2602-2612 [10] Bahari M H, Naghibi S M B, and Pariz N. Intelligent fading memory for high maneuvering target tracking[J]. International Journal of Physical Sciences, 2009, 4(10): 548-554. [11] Nunes F D, Leitao J M N, and Sousa F M G. Nonlinear filtering in GNSS pseudorange dynamics estimation combining code delay and carrier phase[J].IEEE Journal of Selected Topic in Signal Processing.2009, 3(4):639-650 [12] Terejanu G, Singla P, Singh T, and Scott P D. A novel gaussian sum filter method for accurate solution to the nonlinear filtering problem[C]. 11th International Conference on Information Fusion, Cologne, 2008: 1-8. [13] Jeroen D H, Thomas B S, and Fredrik G. On resampling algorithms for particle filters[C]. IEEE Nonlinear Statistical Signal Processing Workshop, Cambridge, UK, 2006: 79-82.

施引文献

资源附件(0)

访问统计