Average performance analysis of circular and hyperbolic geolocation
Average performance analysis of circular and hyperbolic geolocation
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DOI：
10.1109/tvt.2005.861172
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发表时间：
2006-01
影响因子：
6.8
通讯作者：
A. Urruela;J. Sala-Álvarez;J. Riba
中科院分区：
文献类型：
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作者：
A. Urruela;J. Sala-Álvarez;J. Riba
从理论均方根定位误差角度对四种定位方法的性能进行了比较分析。比较是以两种不同的方式建立起来的：严格的和一般的。在严格类型中，对基站（BSs）相对于移动位置的特定几何配置进行方法检查，这决定了影响各自到达时间（TOA）或到达时间差（TDOA）估计的给定噪声剖面。在平均类型中，根据随机几何集合上位置误差的期望协方差矩阵对方法进行评估，因此比较与几何无关。精确的半解析方程和相关的下界（仅取决于噪声剖面）得到的平均协方差矩阵的位置误差在所谓的信息矩阵特定于每个地理定位方法。从田间试验中推断的统计通道模型用于定义随机几何形状的实际先验概率。最后的评估提供了与信道模型参数和基站数量有关的预期位置误差的广泛结果。
A comparative performance analysis of four geolocation methods in terms of their theoretical root mean square positioning errors is provided. Comparison is established in two different ways: strict and average. In the strict type, methods are examined for a particular geometric configuration of base stations (BSs) with respect to mobile position, which determines a given noise profile affecting the respective time-of-arrival (TOA) or time-difference-of-arrival (TDOA) estimates. In the average type, methods are evaluated in terms of the expected covariance matrix of the position error over an ensemble of random geometries, so that comparison is geometry independent. Exact semianalytical equations and associated lower bounds (depending solely on the noise profile) are obtained for the average covariance matrix of the position error in terms of the so-called information matrix specific to each geolocation method. Statistical channel models inferred from field trials are used to define realistic prior probabilities for the random geometries. A final evaluation provides extensive results relating the expected position error to channel model parameters and the number of base stations.