如何消除Matlab中向量的突然变化?

问题描述

假设我的向量如下图所示.根据常识，我们可以看到有两个突然偏离向量趋势的值.

Assume that I have vector shown in the figure below. By common sense, we can see that there are 2 values which suddenly depart from the trend of the vector.

如何消除这些突然的变化.我的意思是我该如何自动检测这些噪声值并将其替换为邻居的平均值.

How do I eliminate these sudden changes. I mean how do I automatically detect and replace these noise values by the average value of their neighbors.

推荐答案

定义一个阈值，计算平均值，然后比较这些值与其邻居的平均值之间的相对误差:

Define a threshold, compute the average values, then compare the relative error between the values and the averages of their neighbors:

threshold  = 5e-2;
averages   = [v(1); (v(3:end) + v(1:end-2)) / 2; v(end)];
is_outlier = (v.^2 - averages.^2) > threshold^2 * averages.^2;

然后替换异常值:

v(is_outlier) = averages(is_outlier);

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