【源码】离散数据的半微分/半积分计算

该算法代码编写是基于Yu, J.S. et al, J. Electroanal. Chem, 403, 1996。

Algorithm is based on treatment performed by Yu, J.S. et al, J. Electroanal. Chem, 403, 1996.

该程序从周期信号中提取均匀分布的离散x/y数据点，并在Fourier空间中应用p’th导数算子。

The program takes evenly-spaced, discrete, x/y data points from a periodic signal and applies the p’th derivative operator in Fourier space.

p’th导数可以是整数值，也可以是非整数值（两个整数导数之间的加权卷积）。

The p’th derivative can be an integer value or a non-integer value (weighted convolution between two integer derivatives).

如果p<0，则进行积分而不是微分。

If p < 0, then integration is performed rather than differentiation.

与其他半导数方法不同，该过程不需要对信号进行任何函数形式的拟合。

Unlike other semiderivative methods, this process does not need to fit any functional form to the signal.

Header image验证了周期sigmoid信号的功能。

Header image is demonstration of function for periodic sigmoid signal.

验证了过程的clean转换和可逆性。

Clean transformation and reversibility of process is demonstrated.

该程序是为考虑电化学而设计的。

Program was designed for use with electrochemistry in mind.

程序与R2019a版本兼容，向后兼容是可能的，但作者不能保证。

Program is certainly compatible with R2019a onwards, backwards compatibility is possible but not guaranteed.

作者邮箱：

Email [email protected] for questions.

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