Any idea on how to build this function?

Hello forum, I should build a MATLAB function that will plot the red function:

In particular, I know the f0 frequency so: - the first period is T0=1/f0, and I want that from 0 to T0 the frequency is fixed at level f0; - than the frequency passes to f1=f0+k*T0 (k is a known constant) and the period is T1=1/f1 and so on.

Do you have any idea on how to build it?

Answer 1

[M]

basic idea, to adapt to your specific case :

t=20:-1:1;
stairs(1./t)

which gives

[Alessandro Longo]

Unfortunately this is not a good solution because I should implement the code in a Matlab-fcn block for a Simulink model (so I need something like a for/while cycle that will generate this function with time increasing)

Answer 2

[Andrei Bobrov]

Let T - your T0,T2 and etc. (T = [T0,T1,...,TN]);

f - your f0,f1 and etc. (f = [f0,f1,...fN]).

function F = yourfreq(t,T,f)
    ii = discretize(t,[0, T]);
    F = f(ii);
end

[Alessandro Longo]

This function requires as input three parameters, while I have only the frequency f0