PhotonIcs and Electromagnetics Research Symposium,
also known as Progress In Electromagnetics Research Symposium
PIERS Proceedings
Published: 2015-07-09
A Model-free Method for Real-time High Precision Carrier Phase Observation
By
Proceedings of 2015 Photonics & Electromagnetics Research Symposium, Prague, July 6 - 9,Page(s)549-552
Abstract
Carrier phase observation is a high accuracy ranging method through tracking the phase of carrier signal and could be used in various applications. Carrier signal of the target in motion is a typical nonstationary signal and its model is hard to acquire. This paper describes a model-free approach of obtaining the total phase and the instantaneous frequency of the carrier signal in real-time with high resolution. The total phase is calculated and denoised using Savitzky-Golay filter to reducing measure noise. Meanwhile, the instantaneous frequency could be obtained by deriving the smoothed total phase which can also be implemented by a FIR filter like Savitzky-Golay filter. Simulation shows the performance of the proposed method.
Citation
Wei Liu, Qiao Meng, Jifei Tang, Quantao Yu, and Tianyi Zhang, "A Model-free Method for Real-time High Precision Carrier Phase Observation," Proceedings of 2015 Photonics & Electromagnetics Research Symposium, Prague, July 6 - 9,Page(s)549-552
References

1. Blewitt, G., "Basics of the GPS technique: Observation equations," Geodetic Applications of GPS, 10-54, 1997.        Google Scholar

2. Han, S., "Carrier phase-based long-range GPS kinematic positioning", University of New South Wales, 1997.        Google Scholar

3. Wang, P., H. Li, and B. Himed, "Instantaneous frequency estimation of polynomial phase signals using local polynomial Wigner-Ville distribution," 2010 International Conference on Electromagnetics in Advanced Applications, ICEAA), 184-187, IEEE, September 2010.        Google Scholar

4. Barkat, B. and B. Boashash, "Design of higher order polynomial Wigner-Ville distributions", 1999.
doi:10.1109/78.782225        Google Scholar

5. Peleg, S. and B. Friedlander, "The discrete polynomial-phase transform," IEEE Transactions on Signal Processing, Vol. 43, No. 8, 1901-1914, 1995.
doi:10.1109/78.403349        Google Scholar

6. Bi, G., Y. Ju, and X. Li, "Fast algorithms for polynomial time-frequency transforms of realvalued sequences," IEEE Transactions on Signal Processing, Vol. 56, No. 5, 1905-1915, 2008.
doi:10.1109/tsp.2007.913162        Google Scholar

7. Boashash, B., Time Frequency Signal Analysis and Processing: A Comprehensive Reference, 2003.        Google Scholar

8. Peleg, S. and B. Porat, "Linear FM signal parameter estimation from discrete-time observations," IEEE Transactions on Aerospace and Electronic Systems, Vol. 27, No. 4, 607-616, 1991.        Google Scholar

9. Rife, D. C. B. P. and R. R. Boorstyn, "Single tone parameter estimation from discrete-time observations," IEEE Transactions on Information Theory, Vol. 20, No. 5, 591-598, 1974.
doi:10.1109/tit.1974.1055282        Google Scholar

10. Savitzky, A. and M. J. E. Golay, "Smoothing and differentiation of data by simplified least squares procedures," Analytical Chemistry, Vol. 36, No. 8, 1627-1639, 1964.
doi:10.1021/ac60214a047        Google Scholar

11. Meng, Q. and J. Lu, "A filter designed based-on Talyor series model with least square method," Journal of Southeast University, 4, 1995.        Google Scholar