It is often useful to transform a measured signal into a form that is more easily interpreted. Thus, in voltammetry, where the measurement is of a current responding to a perturbation of the electrode potential, the complications arising from diffusional transport may be readily alleviated through the use of semioperators or convolutions. The use of semiintegration enables the voltammetric current to be transformed into an alternative signal that, in the case of a planar electrode, is linearly related to the concentrations of reactant and product at the electrode surface. Numerous advantages of semiintegration have been widely demonstrated. However, semiintegration is but a special case of the more general procedure of convolution. Convolving the voltammetric current with specifically designed functions of time allows the benefits of semiintegration to be applied to other electrode geometries and other experimental circumstances. The prime motive for semiintegration or convolution is to gain access to information about concentrations at the electrode surface. This information opens the door to the measurement of such quantities as bulk concentrations, rate constants, standard potentials, and diffusivities, as well as suggesting mechanisms and enabling the calibration of electrodes.

中文翻译：

---

伏安法中的半运算和卷积

将测得的信号转换成更易于解释的形式通常很有用。因此，在伏安法中，其中测量的是响应于电极电势的扰动的电流，通过使用半算子或卷积可以容易地减轻由扩散传输引起的复杂性。半积分的使用使伏安电流可以转换为另一种信号，在平面电极的情况下，该信号与电极表面反应物和产物的浓度线性相关。半集成的许多优点已得到广泛证明。但是，半积分只是更通用的卷积过程的一种特殊情况。将伏安电流与经过特别设计的时间函数进行卷积，可以将半积分的优势应用于其他电极几何形状和其他实验环境。半积分或卷积的主要动机是获得有关电极表面浓度的信息。该信息为诸如体积浓度，速率常数，标准电势和扩散率之类的量的测量打开了大门，并提供了建议的机制并实现了电极的校准。