Taylor-series estimation is considered a useful technique for estimating the location of a source based on intersections of hyperbolic curves of the time differences of arrival of signals received by several sensors. One of the common challenges in estimating the location of a source emitter is to select a starting point in each iterative calculation. Different starting points can significantly impact search performance and the accuracy of the estimated signal emitter location. This study proposes an initial position for solving Taylor-series expanded nonlinear equations. Our recommended initial position choices (approximately graphical mode or AGM) use a simple approximately hyperbolic estimator to calculate the starting point in each iterative search for the source location. Our study shows that AGM estimator can help improve the calculation speed and produce more accurate results. We compared our method with the other two common choices, first Rx mode and center of sensors mode (CPM). The results show that our AGM method performs up to 4.64% more accuracy.

中文翻译：

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使用双曲线系统对曼谷 FM 无线电源定位进行泰勒级数估计的迭代改进

泰勒级数估计被认为是一种有用的技术，用于基于多个传感器接收到的信号到达时间差的双曲线的交点来估计源的位置。估计源发射器位置的常见挑战之一是在每次迭代计算中选择一个起点。不同的起点会显着影响搜索性能和估计的信号发射器位置的准确性。本研究提出了求解泰勒级数扩展非线性方程的初始位置。我们推荐的初始位置选择（近似图形模式或 AGM）使用简单的近似双曲线估计器来计算每次迭代搜索源位置的起点。我们的研究表明，AGM 估计器可以帮助提高计算速度并产生更准确的结果。我们将我们的方法与其他两种常见选择进行了比较，第一种是 Rx 模式和传感器中心模式 (CPM)。结果表明，我们的 AGM 方法的准确度提高了 4.64%。