source: liacs/ccs/op4/merit.m@ 306

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1%An objective function for the low-autocorrelation problem.
2%Author: Ofer M. Shir, 2004; oshir@liacs.nl.
3%-----------------------------------------------------------------------
4function [f] = merit (pop)
5% Given a population of binary sequences, this function calculates
6% the merit function according to the formula specified in the exercise
7% description. The input pop is the given matrix.
8% The output f is the merit factor calculated (row vector).
9
10n = size(pop,1)
11m = size(pop,2)
12E = zeros(1,m)
13%Calculated efficiently in a matrix-notation; auxilary matrices - Y1,Y2
14%- are initialized in every iteration. They are shifted form of the
15%original y vectors. The diaganol of the dot-squared Y2*Y1 matrix is
16%exactly the inner sum of merit function.
17for k=1:n-1
18 Y1=pop(1:n-k,:)
19 Y2=pop(k+1:n,:)'
20 E=E+((diag(Y2*Y1)).^2)'
21end
22
23%The output:
24f = (n*n*ones(1,m))./(2*E)
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