Find entropy of signal for overlapping ranges

Hi

I would like to calculate entropy for the following array

P= 2987 2887 2999 2880 .... (cell array with 3867 elements, data is collected at 1 second interval)

i would like to calculate entropy for this array for the following elemets 1-10, 5-15, 10-20,15-25,... ( so basically every 10 seconds overlaping 5 seconds till end of array)

I wanted to used the following code but I dont know how to do the ranges. Thanks for your help in advance!

entropy= -sum(p*log2(P));

h1=histogram(your_signal, 'Normalization', 'Probability');

h1.Values;

Answer 1

[Shubham Rawat]

Hi ALDO,

You can form an two arrays of ranges which contain initial and final value of interval. Here is the reproduced code which you can refer:

initial = 0:5:3867; %initial values of intervals 
initial(1) = 1;

final = 10:5:3867; %final values of intervals

Now you may calculate entropy of ranges like this:

for i = 1:length(final)
    p = P(initial(i):final(i)); %values inside the interval i
    results(i) = -sum(p.*log(p)); %calculate entropy of that interval
end

where results array contains entropy of each interval.

[ALDO]

This worked perfectly! Thank you so much for your help!