Deconvolution of causal pulse and transient data

A. Bennia, N. Nahman
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引用次数: 25

Abstract

The effects of the causality of a certain class of frequency domain filters that satisfy the Paley-Wiener criterion are discussed. Physical pulses and transients are causal functions of time; that is, their values are zero before t=0, the time at which they begin. Their measured waveform data are also causal. When deconvolution processing is applied to remove instrumentation errors and/or suppress the effects of noise, noncausal deconvolution methods may introduce unacceptable errors. The Nahman-Guillaume automatic deconvolution method is modified to ensure that causality is maintained in the deconvolution result. Examples which show the undesirable effects of noncausal methods and a means of eliminating such effects are given.<>
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因果脉冲和瞬态数据的反卷积
讨论了满足Paley-Wiener准则的某一类频域滤波器的因果效应。物理脉冲和瞬态是时间的因果函数;也就是说,它们的值在t=0(它们开始的时间)之前为零。它们的测量波形数据也是因果关系。当反褶积处理应用于去除仪器误差和/或抑制噪声的影响时,非因果反褶积方法可能会引入不可接受的误差。对Nahman-Guillaume自动反褶积方法进行了改进,使反褶积结果保持因果关系。举例说明了非因果方法的不良影响,并给出了消除这种影响的方法。
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