How can I find the local maximum and local minimum in my dataset?

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I have a dataset of Lateral Force vs Displacement from my experiments. I want to find the local maximums and local minimums in each set of data. Then I need to find the distance between the neighboring local minimum and local maximum. I attached some figures into my question and showed the local maximums and local minimums with circles. The local minimums have a black circle, and local minimums have a red circle.
Is it possible to use findpeaks or islocalmax? I think it might not be possible to use them because my data is not smooth.
Many thanks in advance
Cheers,

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Image Analyst
Image Analyst 2021-7-24
Depends on exactly what you mean by local min or max, and I don't see any black or red circles in the picture you posted. You could try movmin()/imerode() or movmax()/imdilate() to get the min or min in a moving window. The local min in the window may not necessarily be a valley and the local max may not necessarily be a peak. To get peaks and valleys you'd need islocalmin/islocalmax (very simple determination) or findpeaks for a more comprehensive classification of what you call a peak or value. To get valleys you need to invert your signal
[peakValues, indexesOfPeaks] = findpeaks(signal);
[valleyValues, indexesOfValleys] = findpeaks(-signal);
valleyValues = -valleyValues; % Invert back to get the original, non-negated values.
There are a bunch of complicated options in findpeaks() to fine tune what you consder a peak or valley.
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Farnood83
Farnood83 2021-7-25
Some of those are not actually the local maximum or local minimum. Those very small sharp parts of the data are not the main local maximums or local minimums. I just showed some of the major ones to explain what I mean. I will try your suggestion.
Thank you so much
Farnood

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