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Using the total least squares method for seismic correction of recordings from unknown instruments

机译：使用总最小二乘法对未知仪器的记录进行地震校正

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摘要

This paper describes the correction or recovery of the original ground motion acceleration time histories from accelerometer digital records. It deals specifically with the situation where the recording accelerometer instrument is unknown. This is the case with some older (legacy) records. The term instrument implies all processes that have modified the time history in some way, such as the accelerometer response transfer function, anti-alias filters used in A/D conversion, digital quantisation, etc. The total least squares (TLS) method is used to identify the unknown system (instrument) that must be used to de-convolute the recorded time histories. This approach is compared and contrasted with the recursive least squares method (QR-RLS) and a standard second order, single-degree-of-freedom, idealised instrument de-convolution. A range of seismic events from Iceland and Taiwan (SMART-1 array) are considered. These data sets include a number of different strong motion accelerometers, from Iceland: the SMA-1, DCA-333, A-700, SSA-1 instruments and the SA-3000 used in the SMART-1 array. Without any assumed information about the instrument the TLS is shown to provide a reasonable estimate of its characteristics from just the recorded time history data.
机译：本文描述了加速度计数字记录中原始地面运动加速时间历史的校正或恢复。它专门处理记录加速度计仪器未知的情况。一些较旧的（旧式）记录就是这种情况。术语仪器意味着以某种方式修改了时间历史的所有过程，例如加速度计响应传递函数，A / D转换中使用的抗混叠滤波器，数字量化等。使用总最小二乘（TLS）方法以确定必须用于对记录的时间历史进行反卷积的未知系统（仪器）。将该方法与递归最小二乘法（QR-RLS）和标准二阶单自由度理想化仪器去卷积进行了比较和对比。考虑了来自冰岛和台湾（SMART-1阵列）的一系列地震事件。这些数据集包括来自冰岛的许多不同的强运动加速度计：SMA-1，DCA-333，A-700，SSA-1仪器以及SMART-1阵列中使用的SA-3000。在没有任何有关仪器的假定信息的情况下，仅显示记录的时间历史记录数据即可显示TLS对其特性进行合理估计。

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