Interval analysis-based Bi-iterative algorithm for robust TDOA-FDOA moving source localisation

Abstract

In this study, an interval extension method of a bi-iterative is proposed to determine a moving source. This method is developed by utilising the time difference of arrival and frequency difference of arrival measurements of a signals received from several receivers. Unlike the standard Gaussian noise model, the time difference of arrival - frequency difference of arrival measurements are obtained by interval enclosing, which avoids convergence and initialisation problems in the conventional Taylor-series method. Using the bi-iterative strategy, the algorithm can alternately calculate the position and velocity of the moving source in interval vector form. Simulation results indicate that the proposed scheme significantly outperforms other methods, and approaches the Cramer-Rao lower bound at a sufficiently high noise level before the threshold effect occurs. Moreover, the interval widths of the results provide the confidence degree of the estimate.

A Novel Joint TDOA/FDOA Passive Localization Scheme Using Interval Intersection Algorithm

“…When we take the CRLB as the implementation of benchmark comparison, we take the 3-sigma principle as a transform bridge between the Gaussian distribution and the uniform distributed interval of the measurements [11]. It can be seen from Figure 7 that our proposed algorithm can reach the CRLB in most cases.…”

“…Although the RMSE of the velocity estimation interval increases obviously with the increase of the FDOA measurement error, the overall change of the RMSE is small, and the performance is still stable while affected by the error. When we take the CRLB as the implementation of benchmark comparison, we take the 3-sigma principle as a transform bridge between the Gaussian distribution and the uniform distributed interval of the measurements [11]. It can be seen from Figure 7 that our proposed algorithm can reach the CRLB in most cases.…”

“…In this paper, we propose an interval algorithm to track a moving target's location and velocity with guaranteed concept. Based on the conventional TDOA/FDOA joint location algorithm, the interval analysis algorithm [10,11] is introduced to transform the numerical results of the traditional location algorithm into interval results.…”