Average of a each vertical section of a stepped sawtooth wave

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Raj
Raj 2021-3-24
评论： Raj 2021-3-28
Hello everyone. I need a help to find the average of each vertical steps in a stepped sawtooth wave. For clarity, I have attached the figure of sawtooth wave. Just to reiterate how can I find the average of each small vertical steps in the attached stepped sawtooth wave? Thank you for the help in advance.

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Matt J
Matt J 2021-3-25
I would fit a line to the steps with polyfit, then find the intersections of the line fit with the vertical edges.
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Matt J
Matt J 2021-3-25
编辑：Matt J 2021-3-25
Ran in:
x=linspace(0,10,1000); %Example staircase data
y=round(x);
p=polyfit(x,y,1);
yl=polyval(p,x);
idx=diff(sign(yl-y))<0;
xs=x(idx); ys=yl(idx);
plot(x,y,xs,ys,'ro')

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Greg Dionne
Greg Dionne 2021-3-25
If you have the Signal Processing Toolbox, FINDCHANGEPTS is worth a look (it will give you the indices of each step of which you can take the average later -- see https://www.mathworks.com/matlabcentral/answers/313651-additional-findchangepts-function-output?s_tid=srchtitle for an example on how to extract each mean).
Otherwise see if you can get ISCHANGE to work.
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Raj
Raj 2021-3-25
Thank you so much for your response. I have that tool box. However, I am not sure how to start with a code for my case. Could you please give me some pseudocode type sketch. I will attach a sample data if you need for this.
Greg Dionne
Greg Dionne 2021-3-25
The example in "help findchangepts" should hopefully get you started.
If you post your data though, maybe another volunteer can come up with something even better!

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