Adding surface to a beheaded Gaussian function
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I am making a simple model to calculate flows. I have some detailed code below.
The idea is that I have an input flow (gaussian function, yellow) that i chopped of at 1 being the maximum thrueput of the system.
The blue line is fluid left that can not go through the bottleneck at that time. This residue will go through this bottleneck later.
Now I want to add the blue surface to the yellow (decapitaed) gaussian function so that a new decapitated gausian function emerges, with the surface of yellow and blue but with the cap set at 1.
I guess it is more a mathematical question than Matlab or code. Still i woudl appreciate any thoughts or directions. I guess I have to make something with an integrals?
Thansk and happy new year!
Some code extracts:
As input I made a Gaussian function :
x = [0:0.1:24];
params1 = [1 8];
y21 = 1.2*gaussmf(x, params1);
params2 = 0.01*[1 17];
y22 = gaussmf(x, params2);
y24=y21+y22+0.002;
where I chopped of the head.
k1max = 1;
k1=y24+y4;
k1out=k1;
k1out(k1out>k1max)=[k1max];
k1backlog=k1-k1out;
k1backlog(k1backlog<0)=[0];
I now want to add that chopped of surface to the original
Accepted Answer
More Answers (1)
Sam Chak
on 3 Jan 2023
Hi @Bernd
I'm not sure if this is what you want because your code doesn't reflect what you described. Anyhow, take a look at the example:
x = [0:0.01:16];
params1 = [1 8];
y21 = 1.2*gaussmf(x, params1) + 0.2;
y24 = min(y21, 1);
params2 = [0.75 8];
y22 = 1.0*gaussmf(x, params2) - 0.5;
y25 = max(y22, 0);
y26 = y24 + y25;
plot(x, y24, x, y25), ylim([0 2]), grid on
plot(x, y26, 'linewidth', 1.5), ylim([0 2]), grid on
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