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通用MATLAB代码
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- u1 = rand(4,1);
- u2 = [2;32;6666;5];
- wind_size = size(u1,1);
- mi = calmi(u1, u2, wind_size);5 `, R, i$ D, t3 ?1 |" K
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calmi.m% ~4 M' n% R% D; }" h
3 E% J t; f9 T2 R4 z- %计算两列向量之间的互信息
- %u1:输入计算的向量1
- %u2:输入计算的向量2
- %wind_size:向量的长度
- function mi = calmi(u1, u2, wind_size)
- x = [u1, u2];
- n = wind_size;
- [xrow, xcol] = size(x);
- bin = zeros(xrow,xcol);
- pmf = zeros(n, 2);
- for i = 1:2
- minx = min(x(:,i));
- maxx = max(x(:,i));
- binwidth = (maxx - minx) / n;
- edges = minx + binwidth*(0:n);
- histcEdges = [-Inf edges(2:end-1) Inf];
- [occur,bin(:,i)] = histc(x(:,i),histcEdges,1); %通过直方图方式计算单个向量的直方图分布
- pmf(:,i) = occur(1:n)./xrow;
- end
- %计算u1和u2的联合概率密度
- jointOccur = accumarray(bin,1,[n,n]); %(xi,yi)两个数据同时落入n*n等分方格中的数量即为联合概率密度
- jointPmf = jointOccur./xrow;
- Hx = -(pmf(:,1))'*log2(pmf(:,1)+eps);
- Hy = -(pmf(:,2))'*log2(pmf(:,2)+eps);
- Hxy = -(jointPmf(:))'*log2(jointPmf(:)+eps);
- MI = Hx+Hy-Hxy;
- mi = MI/sqrt(Hx*Hy);
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