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Time reference for measurements of arbitrarily shaped pulses

机译:测量任意形状脉冲的时间参考

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This paper addresses measurements of relative timing of irregularly and differently shaped pulses (by which we mean signals that are zero beyond a finite interval). For such pulses the usual time reference points become useless: rising edges may change their slopes and shapes, and maxima might split. We propose a definition of the time reference applicable to smooth but otherwise arbitrary pulses. It is applicable to signal scaling, simplifies the covariance matrix (of parameters' error estimates) and yields an effective analytic estimate of timing error.
机译:本文介绍了不规则和形状不同的脉冲的相对定时的测量(通过这种方式,我们表示超出有限间隔的零信号)。对于此类脉冲,通常的时间参考点变得无用:上升沿可能会改变其斜率和形状,并且最大值可能会分裂。我们提出了适用于平滑但任意脉冲的时间基准的定义。它适用于信号缩放,简化了(参数误差估计的)协方差矩阵并产生了时序误差的有效分析估计。

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