Dual transponder ranging performance in the presence of oscillator phase noise

Abstract

A dual transponder carrier ranging method can be used to measure inter-satellite distance with high precision by combining the reference and the to-and-fro measurements. Based on the differential techniques, the oscillator phase noise, which is the main error source for microwave ranging systems, can be significantly attenuated. Further, since the range measurements are derived on the same satellite, the dual transponder ranging system does not need a time tagging system to synchronize the two satellites. In view of the lack of oscillator noise analysis on the dual transponder ranging model, a comprehensive analysis of oscillator noise effects on ranging accuracy is provided. First, the dual transponder ranging system is described with emphasis on the detailed analysis of oscillator noise on measurement precision. Then, a high-fidelity numerical simulation approach based on the power spectrum density of an actual ultra-stable oscillator is carried out in both frequency domain and time domain to support the presented theoretical analysis. The simulation results under different conditions are consistent with the proposed concepts, which makes the results reliable. Besides, the results demonstrate that a high level of accuracy can be achieved by using this oscillator noise cancelation-oriented ranging method.

Keywords

inter-satellite / carrier ranging / oscillator phase noise / power spectral density / high precision

References

[1] KimJ. Measurement time synchronization for a satellite-to-satellite ranging system [C]. Control, Automation and Systems, 2007. ICCAS’07, 2007, Seoul, Korea, IEEE: 190-194

[2] KimJSimulation study of a low-low satellite-to-satellite tracking mission [D], 2000, Austin, the University of Texas: 16-125

[3] KimJ, TapleyB D. Simulation of dual one-way ranging measurements [J]. Journal of Spacecraft and Rockets, 2003, 40(3): 419-425

[4] EnzerD G, WangR T, OudrhiriK, KlipsteinW M. In situ measurements of USO performance in space using the twin GRAIL spacecraft [C]. Frequency Control Symposium (FCS), 2012 IEEE International, Baltimore, 2012, USA, IEEE: 1-5

[5] ChenL, WangY-k, ZhangC-sheng. Analysis of time and frequency error in dual-one-way ranging [C]. Remote Sensing, Environment and Transportation Engineering (RSETE), 2012 2nd International Conference on, 2012, Nanjing, China, IEEE: 1-4

[6] ZhengW, ZhongM, YunM-juan. Precise recovery of the Earth’s gravitational field with GRACE: Intersatellite range-rate interpolation approach [J]. IEEE Geoscience and Remote Sensing Letters, 2012, 9(3): 422-426

[7] KimJ, TapleyB D. Error analysis of a low-low satellite-to-satellite tracking mission [J]. Journal of Guidance, Control, and Dynamics, 2002, 25(6): 1100-1106

[8] ChenL, WangY-k, ZhangC-sheng. Study of two way time transfer for DOWR [C]. International Conference on Measurement, Information and Control, 2012, Harbin, China, IEEE: 206-210

[9] WuH-b, HuY-hui. Design and implementation of precise ranging and time synchronization system based on DOWR [C]. International Conference on Measurement, Information and Control, 2012, Harbin, China, IEEE: 239-243

[10] KimJ, TapleyB D. Optimal frequency configuration for dual one-way ranging systems [J]. Journal of Spacecraft and Rockets, 2005, 42(4): 749-751

[11] ZhaoX-y, JinX-j, JinZ-he. Simulation of dual transponder carrier ranging measurements [J]. Journal of Zhejiang University: Science A, 2009, 10(10): 1395-1403

[12] KoU D, TapleyB. Computing the uso frequency instability of grace satellites [C]. Aerospace Conference, 2010 IEEE, 2010, Manhattan Beach, USA, IEEE: 1-8

[13] KasdinN J. Discrete simulation of colored noise and stochastic processes and 1/f^a power law noise generation [J]. Proceedings of the IEEE, 1995, 83(5): 802-827

[14] MassimoD A, MauroD A, RosarioS L. A composite-power-law noise generator [C]. I²MTC2008-IEEE International Instrumentation and Measurement Technology Conference, 2008, British Colombia, Canada, IEEE

[15] ZhaoM-c, WangC-h, JinZ-he. Design and derivation of the dual transponder carrier ranging system [J]. Journal of Zhejiang University: Science C, 2013, 14(5): 383-394

[16] StephensD RPhase-locked loops for wireless communications: Digital, analog and optical implementations [M], 2002, New York, Kluwer Academic Publishers: 16-393

[17] LiangL-f, YangY-k, YangJ, LiuLei. Effects of phase noise on measuring precision of k-band ranging system [C]. Intelligent System Design and Engineering Application (ISDEA), 2010 International Conference on, 2010, Changsha, China, IEEE: 670-673

[18] LIAN P, LACHAPELLE G, MA C. Improving tracking performance of pll in high dynamics applications [M]. ION NTM, Vol. 1, 2005.

[19] WangX-x, PanQ, LiangY, ChengY-mei. Optimal and suboptimal white noise smoothers for nonlinear stochastic systems [J]. Journal of Central South University, 2013, 20(2): 655-662

[20] ChauY A, ChenC F, TsaiK D. Design and analysis of adaptive-bandwidth all-digital phase-locked loop [C]. Intelligent Signal Processing and Communication Systems, 2007. ISPACS 2007. International Symposium on, 2007, Xiamen, China, IEEE: 68-71