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Signal smoothing for logarithmic timescale

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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?

Accepted Answer

Mathieu NOE
Mathieu NOE on 9 Jul 2021
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');

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