Reference Sensor Selection for Improved Instantaneous Velocity Estimation Using Frequency Difference of Arrival Measurement

Abdulmalik Shehu Yaro, Surajo Muhammed, Sani Salisu, Mahmoud Tukur Kabir

Abstract


In this paper, a reference sensor selection technique for a frequency difference of arrival (FDOA) based instantaneous velocity estimation algorithm was developed. This is to improve the instantaneous velocity estimation process of the algorithm. It involves condition number calculation of a matrix whose entries are the known instantaneous emitter position and the deployed sensors position. The sensor that resulted in the least condition number of the matrix is chosen as the reference for the velocity estimation process. Validation of the proposed technique was performed with the sensors in a triangular configuration. Monte Carlo simulation result comparison for the selected emitter position with the conventional approach shows a reduction in the velocity estimation error of at least 33%. 


Full Text:

PDF

References


Chaitanya, D. E., Kumar, M. N. V. S. S., Rao, G. S., & Goswami, R. (2015). Convergence issues of taylor series method in determining unknown target location using hyperbolic multilateration. 2014 International Conference on Science Engineering and Management Research, ICSEMR 2014, (1), 1–4. https://doi.org/10.1109/ICSEMR.2014.7043670

Ford, W. (2014). Numerical Linear Algebra with Applications. Numerical Linear Algebra with Applications (1st ed.). Academic Press. https://doi.org/10.1016/B978-0-12-394435-1.00005-3

Golub, G. H., & Van Loan, C. F. (2013). Matrix Computations. Johns Hopkins University Press (4th ed.). Johns Hopkins University Press.

Ho, K. C., Lu, X., & Kovavisaruch, L. (2007). Source localization using TDOA and FDOA measurements in the presence of receiver location errors: Analysis and solution. IEEE Transactions on Signal Processing, 55(2), 684–696. https://doi.org/10.1109/TSP.2006.885744

Ho, K. C., & Xu, W. (2004). An accurate algebraic solution for moving source location using TDOA and FDOA measurements. IEEE Transactions on Signal Processing, 52(9), 2453–2463. https://doi.org/10.1109/TSP.2004.831921

Jiandong, L., Xiaoyan, S., Pengyu, H., & Jiyong, P. (2008). Performance analysis of active target localization using TDOA and FDOA measurements in WSN. In Proceedings - International Conference on Advanced Information Networking and Applications, AINA (pp. 585–589). IEEE. https://doi.org/10.1109/WAINA.2008.149

Kim, D.-G., Kim, Y.-H., & Kim, H.-N. (2015). Two-step estimator for moving-emitter geolocation using time difference of arrival/frequency-difference of arrival measurements. IET Radar, Sonar & Navigation, 9(7), 881–887. https://doi.org/10.1049/iet-rsn.2014.0440

Li, J., Guo, F., Yang, L., Jiang, W., & Pang, H. (2014). On the use of calibration sensors in source localization using TDOA and FDOA measurements. Digital Signal Processing: A Review Journal, 27(1), 33–43. https://doi.org/10.1016/j.dsp.2013.12.011

Quo, F., & Ho, K. C. (2011). A quadratic constraint solution method for TDOA and FDOA localization. In ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings (pp. 2588–2591). IEEE. https://doi.org/10.1109/ICASSP.2011.5947014

Rene, J. E., Ortiz, D., Venegas, P., & Vidal, J. (2016). Selection of the reference anchor node by using SNR in TDOA-based positioning. In 2016 IEEE Ecuador Technical Chapters Meeting (ETCM) (pp. 1–4). IEEE. https://doi.org/10.1109/ETCM.2016.7750813

Sha’ameri, A. Z., Shehu, Y. A., & Asuti, W. (2015). Performance analysis of a minimum configuration multilateration system for airborne emitter position estimation. Defence S and T Technical Bulletin, 8(1), 27–41.

So, H. C. (2012). Source localization: algorithms and analysis. In Handbook of Position Location: Theory, Practice, and Advances (pp. 25–66). John Wiley & Sons, Inc.

Steffes, C., & Rau, S. (2012). FDOA determination of ADS-B transponder signals. In 2012 Workshop on Sensor Data Fusion: Trends, Solutions, Applications (SDF) (pp. 84–87). IEEE. https://doi.org/10.1109/SDF.2012.6327913

Wang, G., Cai, S., Li, Y., & Ansari, N. (2016). A Bias-Reduced Nonlinear WLS Method for TDOA/FDOA-Based Source Localization. IEEE Transactions on Vehicular Technology, 65(10), 8603–8615. https://doi.org/10.1109/TVT.2015.2508501

Xu, Q., Lei, Y., Cao, J., & Wei, H. (2014). An improved algorithm based on reference selection for time difference of arrival location. Proceedings - 2014 7th International Congress on Image and Signal Processing, CISP 2014, (3), 953–957. https://doi.org/10.1109/CISP.2014.7003916

Yang, K., An, J., & Xu, Z. (2008). A Quadratic Constraint Total Least-squares Algorithm for Hyperbolic Location. International Journal of Communications, Network and System Sciences, 1(2), 130–135. https://doi.org/10.4236/ijcns.2008.12017

Yaro, A. S., Musa, M. J., Sani, S., & Abdulaziz, A. (2016). 3D Position Estimation Performance Evaluation of a Hybrid Two Reference TOA / TDOA Multilateration System Using Minimum Configuration. International Journal of Traffic and Transportation Engineering, 5(4), 96–102. https://doi.org/10.5923/j.ijtte.20160504.03

Yaro, A. S., Sha’ameri, A. Z., & Kamel, N. (2017). Ground Receiving Station Reference Pair Selection Technique for a Minimum Configuration 3D Emitter Position Estimation Multilateration System. Advances in Electrical and Electronic Engineering, 15(3), 391–399. https://doi.org/10.15598/aeee.v15i3.2254

Yu, H., Huang, G., Gao, J., & Wu, X. (2012). Approximate Maximum Likelihood Algorithm for Moving Source Localization Using TDOA and FDOA Measurements. Chinese Journal of Aeronautics, 25(4), 593–597. https://doi.org/10.1016/S1000-9361(11)60423-8

Yu, H., Huang, G., Gao, J., & Yan, B. (2012). Practical constrained least-square algorithm for moving source location using TDOA and FDOA measurements. Journal of Systems Engineering and Electronics, 23(4), 488–494. https://doi.org/10.1109/JSEE.2012.00062

Zhu, G. H., Feng, D. Z., Xie, H., & Zhou, Y. (2016). An approximately efficient bi-iterative method for source position and velocity estimation using TDOA and FDOA measurements. Signal Processing, 125, 110–121. https://doi.org/10.1016/j.sigpro.2015.12.013


Refbacks

  • There are currently no refbacks.