How do I define piecewise constant function in for loop?

For example, say I have data points given by

,

and corresponding output points. Now I want to define a piecewise constant function y such that on its , on , on , on and so on.

Answer 1

[Torsten]

Give the correct values to the arrays "left_limit_of_ith_interval" and "right_limit_of_ith_interval" in the following code:

left_limit_of_ith_interval = ...;
right_limit_of_ith_interval = ...;

fun = @(T)0;
for i = 1:M-1
    fun = @(T) fun(T) + x(t(i)).*(T>=left_limit_of_ith_interval(i)).*(T<right_limit_of_ith_interval(i));
end

[Dyuman Joshi]

I was about to implement a similar idea, with piecewise, but saw this answer.

How about this?

M=5;
t = ((1:M)-1/2)/M;
t = [0 t+t(1)]


fun = @(T) 0;
for i = 2:M
    fun = @(T) fun(T) + x(t(i)).*(T>=t(i-1)).*(T<t(i));
end