Average of a each vertical section of a stepped sawtooth wave

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.

Answer 1

[Matt J]

I would fit a line to the steps with polyfit, then find the intersections of the line fit with the vertical edges.

[Raj]

Thank you for your response. Is not this a very long process. Should not I polyfit for each vertical steps? Or I am misunderstanding here. Could you provide a little bit more explanation?

[Matt J]

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')

[Raj]

Thank you so much for your clear explanation.

Answer 2

[Greg Dionne]

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.

[Raj]

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]

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!