Find the location of the change

Hi :)

I would like to find the location of the change in an array. The arrays are ramp and hold, i e. they contain several identical values then start to increase and then become constant again. The increase rates are different in each array.They are plotted below:

I want to plot a vertical line at the end and begining of each constant section. Can you help me with that?

Thanks

Answer 1

[Star Strider]

If you have the Signal Processing Toolbox, consider using the findchangepts (link) function, with the 'Statistic','mean' name-value pair. (The findchangepts function was introduced in R2016a.)

EDIT — (25 Jan 2019 at 20:37 UCT)

Thank you for attaching your data.

The core MATLAB ischange (link) function (introduced in R2017b) turns out to be the best option for this.

The Code —

D = load('XX.mat');
XX = D.XX;
t = linspace(0, numel(XX), numel(XX));

[TF,SegMean,SegVar] = ischange(XX,'linear','Threshold',500);
cpts = find(TF);

figure
plot(t, XX)
hold on
plot(t(cpts), XX(cpts), '^r', 'MarkerFaceColor','r')
hold off

The Plot —

Answer 2

[Image Analyst]

Use diff() and line()

Something like (untested)

dy = 0, diff(y)];
% Get non-zero dy
mask = dy~= 0;
dy = dy(mask);
xx = x(mask); % Get x values at those locations.
hold on;
for k = 1 : length(dy)
    thisX = xx(k); % Find the x location.
    line([thisX, thisX], ylim, 'Color', 'r', 'LineWidth', 2);  % Draw a vertical red line.
end

[Tala Hed]

Thanks a lot. Sorry for my delay. Been out of the country.

The code didnt work. I tried to understand your code and use it, wasent succseful. Here is the vector. Would be grateful if you can help plotting the lines.

Thanks