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