Signal smoothing for logarithmic timescale

Question

Divij Gupta 2021-7-9

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评论： Mathieu NOE 2021-7-9

I want to perform signal smoothing for the graph shown above. However, using the method shown in MATLAB documentation is not working since the timescale for my graph is logarithmic (logspace(1,5,1000)), not linear. How can I smooth this using a filter?

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Answer 1

Mathieu NOE 2021-7-9

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hello

you can smooth data even in log spacing

a demo code is provided below. I kept the amount of samples low , so the smoothed curve is easy to see that the constant log spacing is still there.

clc
clearvars
% dummy data : x is Logarithmically spaced vector 
samples = 100;
xlog = logspace(1,5,samples);
ylog = (1-exp(-xlog*1e-4)).*randn(1,samples);
% smoothdata
N = 25;
ylogs = smoothdata(ylog,"gaussian",N);
semilogx(xlog,ylog,xlog,ylogs,'-*');
legend ('raw data','smoothed');