Abstract. For two decades meteor radars have been routinely used to monitor temperatures around the 90 km altitude. A common method, based on a temperature-gradient model, is to use the height dependence of meteor decay time to obtain a height-averaged temperature in the peak meteor region. Traditionally this is done by fitting a linear regression model in the scattered plot of log₁₀(1 / τ) and height, where τ is the half-amplitude decay time of the received signal. However, this method was found to be consistently biasing the slope estimate. The consequence of such bias is that it produces a systematic offset in the estimated temperature, and thus requiring calibration with other colocated measurements. The main reason for such a biasing effect is thought to be due to the failure of the classical regression model to take into account the measurement error in τ or the observed height. This is further complicated by the presence of various geophysical effects in the data, which are not taken into account in the physical model. The effect of such biasing is discussed on both theoretical and experimental grounds. An alternative regression method that incorporates various error terms in the statistical model is used for line fitting. This model is used to construct an analytic solution for the bias-corrected slope coefficient for this data. With this solution, meteor radar temperatures can be obtained independently without using any external calibration procedure. When compared with colocated lidar measurements, the temperature estimated using this method is found to be accurate within 7 % or better and without any systematic offset.

中文翻译：

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改进的估算流星峰值温度的方法

摘要。二十年来，流星雷达已被常规用于监测90 km高度附近的温度。基于温度梯度模型的常用方法是使用流星衰减时间的高度依赖性来获得峰值流星区的平均温度。传统上，这是通过在log _10的散点图中拟合线性回归模型来完成的（1 /τ）和高度，其中τ是接收信号的半振幅衰减时间。然而，发现该方法始终使斜率估计偏差。这种偏差的结果是，它会在估算的温度中产生系统的偏移，因此需要使用其他共置的测量进行校准。人们认为产生这种偏见效果的主要原因是由于经典回归模型无法考虑τ中的测量误差或观测到的高度。由于数据中存在各种地球物理效应而使情况更加复杂，而物理模型中并未考虑这些效应。在理论和实验方面都讨论了这种偏见的影响。在统计模型中包含各种误差项的替代回归方法用于线拟合。该模型用于为该数据的偏斜校正斜率系数构建解析解决方案。使用此解决方案，无需使用任何外部校准程序即可独立获得流星雷达温度。当与共置激光雷达测量结果进行比较时，发现使用此方法估算的温度准确度在7％或更高范围内，并且没有任何系统性偏差。