Abstract
Due to the large measurement error in the practical non-cooperative scene, the passive localization algorithms based on traditional numerical calculation using time difference of arrival (TDOA) and frequency difference of arrival (FDOA) often have no solution, i.e., the estimated result cannot meet the localization background knowledge. In this context, this paper intends to introduce interval analysis theory into joint FDOA/TDOA-based localization algorithm. The proposed algorithm uses the dichotomy algorithm to fuse the interval measurement of TDOA and FDOA for estimating the velocity and position of a moving target. The estimation results are given in the form of an interval. The estimated interval must contain the true values of the position and velocity of the radiation target, and the size of the interval reflects the confidence of the estimation. The point estimation of the position and the velocity of the target is given by the midpoint of the estimation interval. Simulation analysis shows the efficacy of the algorithm.
Highlights
1.2774 of the velocity estimation interval of the radiation source increases as the measurement errors of time difference of arrival (TDOA) and frequency difference of arrival (FDOA) increases, both vertically and horizontally, and this is because, It can be seenTDOA/FDOA
This paper introduces the interval analysis algorithm based on TDOA/FDOA joint location for the research of passive location
The variant formulas for calculating meridional velocity and zonal velocity are obtained through the frequency difference formula
Summary
The proposed algorithm uses the TDOA and FDOA measurements generated between the three satellites to locate the position and measure the velocity of the radiation source. In the geodetic coordinate system, the position and velocity of the three satellites are,. . T respectively, represented as si = [ xi ◦ , yi ◦ , zi ◦ ] T and si = xi ◦ , yi ◦ , zi ◦ , where i = 1, 2, 3. The position and velocity of the radiation source u are expressed as u◦ = [ x ◦ , y◦ , z◦ ] T and .◦. The distance between the radiation source and the satellite is ri ◦ = ku◦ − si ◦ k, i = 1, 2, 3
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