Hansen J C
J Neurosci Methods. 1983 Oct;9(2):127-39. doi: 10.1016/0165-0270(83)90126-7.
A simple Fourier technique is described that allows isolation of component waveforms from recordings of time-shifted, overlapping, linear sums of these components. This procedure can be applied if certain assumptions are satisfied, namely, the times of occurrences of the underlying component waveforms are known, the component waveforms are time-invariant, and there are at least as many different recordings as there are underlying component waveforms. The method is a type of adaptive inverse filtering, and can be generalized to allow recovery of waveforms that have been distorted by many time-invariant linear processes in addition to time delays. An application of the technique to human scalp-recorded event-related potentials (ERPs) is discussed which allows resolution of overlapping stimulus-locked and response-locked waveform complexes. Some possible effects of violating the assumptions of the procedure are explored for this example. The method should prove of value when it is impossible to record the underlying component waveforms in isolation, and the waveshapes, rather than their times of occurrence, are important experimental dependent variables.
本文描述了一种简单的傅里叶技术，该技术可从这些成分的时移、重叠线性和的记录中分离出成分波形。如果满足某些假设，即已知潜在成分波形的出现时间、成分波形是时不变的，并且不同记录的数量至少与潜在成分波形的数量一样多，那么这个过程就可以应用。该方法是一种自适应逆滤波，并且可以推广到除了时间延迟之外，还能恢复被许多时不变线性过程扭曲的波形。讨论了该技术在人类头皮记录的事件相关电位（ERP）中的应用，这使得能够分辨重叠的刺激锁定和反应锁定波形复合体。针对这个例子，探讨了违反该过程假设的一些可能影响。当无法单独记录潜在成分波形，并且波形形状而非其出现时间是重要的实验因变量时，该方法应该会被证明是有价值的。
