Input-transducer errors in binary crosscorrelation experiments
Input-transducer errors in binary crosscorrelation experiments
复制标题
二元互相关实验中的输入传感器误差
DOI：
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发表时间：
1965
期刊：
影响因子：
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通讯作者：
W. Murgatroyd
中科院分区：
文献类型：
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作者：
K. Godfrey;W. Murgatroyd
本文概述了通过互相关系统的输出与输入来确定系统的冲激响应的理论。它指出，伪随机二进制输入代码证明特别方便，在促进解释的结果，和一些有用的性质，一类这些代码称为msequences列举。在使用这些序列的实验中，当调制器不能精确地遵循序列，而是花费有限的时间用于两个二进制状态之间的转换时，将出现误差源。确定了便于描述这些过渡延迟的误差信号的形式，并计算了具有该误差信号的完美序列的互相关函数。区分两种情况下，对应于可逆和不可逆的状态间的过渡（即是否从+1状态的过渡到？1状态是以相同的方式完成的，从？1状态到+1状态）。一个完美的msequence输入上的测量响应的有限带宽的效果是由在时域中的分析确定的，结果被扩展到包括由于可逆过渡错误的带宽的改变。该方法并不证明方便的不可逆过渡误差的带宽的影响分析超过一个第一近似的脉冲响应。然而，这一结果使标准的发展，以确保不可逆的转变将不会引起更严重的影响，对测量的响应比可逆的转变。
The theory of determining the impulse response of a system by crosscorrelating the output of the system with the input is outlined. It is pointed out that pseudorandom binary input codes prove particularly convenient in facilitating interpretation of the results, and some useful properties of a class of these codes known as msequences are enumerated. A source of error will occur in experiments using these sequences when the modulator is unable to follow the sequence exactly, and instead takes a finite time for the transition between the two binary states. The form of an error signal convenient for describing these transition delays is determined, and the cross-correlation function of the perfect sequence with this error signal is evaluated. Distinction is made between two cases, corresponding to reversible and nonreversible interstate transitions (i.e. whether or not the transition from the +1 state to the ?1 state is accomplished in the same manner as that from the ?1 state to the +1 state). The effect of the finite bandwidth of a perfect msequence input on the measured response is determined by an analysis in the time domain; the results are extended to include the alteration in bandwidth due to reversible-transition errors. The method does not prove convenient for analysing the effect of bandwidth of nonreversible-transition errors to more than a first approximation of the impulse response. However, this result enables criteria to be developed to ensure that nonreversible transitions will give rise to no more serious effects on the measured response than reversible transitions.