Abstract
A weight constrained total least-square (WCTLS) is developed for source localization by using time difference of arrival (TDOA) measurements. The WCTLS algorithm not only exploits the structure information of the measurement matrix, but also utilizes the prior knowledge of the TDOA measurements. The bias and covariance of the proposed WCTLS algorithm are also analyzed. Simulation results show that the proposed estimator achieves better performance than that of the constrained total least square, and it attains the Cramer-Rao lower bound at a sufficiently low noise level.
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References
Torrieri, D.J.: Statistical Theory of Passive Location Systems. IEEE Transactions on Aerospace And Electronic Systems AES-20(2) (March 1984)
Foy, W.H.: Position-location solution by Taylor-series estimation. IEEE Trans., Aerosp. Electron. Syst. AES-12, 187–194 (1976)
Smith, J.O., Abel, J.S.: Closed-form least-squares source location estimation from range-difference measurements. IEEE Transactions on Acoustics, Speech, and Signal Processing 35(12), 1905–1915 (1987)
Chan, Y.T., Ho, K.C.: A simple and efficient estimator for hyperbolic location. IEEE Transactions on Signal Processing 42(8), 1905–1915 (1994)
Huang, Y., Benesty, J., Elko, G.W., Mersereau, R.M.: Real-Time Passive Source Localization: A Practical Linear-Correction Least-Squares Approach. IEEE Transactions on Speech and Audio Processing 9(8) (2001)
So, H.C., Hui, S.P.: Constrained location algorithm using TDOA measurements. IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences E86-A(12) , 3291–3293 (2003)
Markovsky, I., Huffel, S.V.: Overview of total least-squares methods. Signal Process. 87(10), 2283–2302 (2007)
Yang, K., An, J., Bu, X., Sun, G.: Constrained Total Least-Squares Location Algorithm Using Time-Difference-of-Arrival Measurements. IEEE Transactions on Vehicular Technology 59(3) (March 2010)
Abatzoglou, T.J., Mendel, J.M., Harada, G.A.: The Constrained Total Least Squares Technique and its Applications to Harmonic Superresolution. IEEE Transactions on Signal Processing 39(5) (May 1991)
Cheung, K.W., So, H.C., Ma, W.K., Chan, Y.T.: A constrained least squares approach to mobile positioning: Algorithms and optimality. EURASIP J. Appl. Signal Process., 1–23 (2006)
Shi, Y.-G., Wei, H.-W.: Weighted Constrained Total Least Squares for bearing-only target localization. In: 2010 International Conference on Engineering and Automatic Control Proceedings, vol. 8, pp. 620–623 (November 2010)
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Jing-min, C., He-wen, W., Jian, Y. (2012). Weighted Constrained Total Least-Square Algorithm for Source Localization Using TDOA Measurements. In: Zhang, Y. (eds) Future Wireless Networks and Information Systems. Lecture Notes in Electrical Engineering, vol 143. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27323-0_92
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DOI: https://doi.org/10.1007/978-3-642-27323-0_92
Publisher Name: Springer, Berlin, Heidelberg
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