資源簡介
matlab自帶HHT算法,最簡潔的EMD分解
代碼片段和文件信息
function?imf?=?emd(x)
%?Empiricial?Mode?Decomposition?(Hilbert-Huang?Transform)
%?imf?=?emd(x)
%?Func?:?findpeaks
x???=?transpose(x(:));
imf?=?[];
while?~ismonotonic(x)
???x1?=?x;
???sd?=?Inf;
???while?(sd?>?0.1)?|?~isimf(x1)
??????s1?=?getspline(x1);
??????s2?=?-getspline(-x1);
??????x2?=?x1-(s1+s2)/2;
??????
??????sd?=?sum((x1-x2).^2)/sum(x1.^2);
??????x1?=?x2;
???end
???
???imf{end+1}?=?x1;
???x??????????=?x-x1;
end
imf{end+1}?=?x;
%?FUNCTIONS
function?u?=?ismonotonic(x)
u1?=?length(findpeaks(x))*length(findpeaks(-x));
if?u1?>?0?u?=?0;
else??????u?=?1;?end
function?u?=?isimf(x)
N??=?length(x);
u1?=?sum(x(1:N-1).*x(2:N)?0);
u2?=?length(findpeaks(x))+length(findpeaks(-x));
if?abs(u1-u2)?>?1?u?=?0;
else??????????????u?=?1;?end
function?s?=?getspline(x)
N?=?length(x);
p?=?findpeaks(x);
s?=?spline([0?p?N+1][0?x(p)?0]1:N);
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