Matlab實現(xiàn)HHT程序(源碼-非常珍貴).doc

clear all;x=load (06514135360001170106.TXT);fs=1000000;N=length(x);t=0:1/fs:(N-1)/fs;z=x;c=emd(z);%計算每個IMF分量及最后一個剩余分量residual與原始信號的相關(guān)性m,n=size(c);for i=1:m;a=corrcoef(c(i,:),z);xg(i)=a(1,2);endxg;for i=1:m-1%-%計算各IMF的方差貢獻率%定義：方差為平方的均值減去均值的平方%均值的平方%imfp2=mean(c(i,:),2).2%平方的均值%imf2p=mean(c(i,:).2,2)%各個IMF的方差mse(i)=mean(c(i,:).2,2)-mean(c(i,:),2).2;end;mmse=sum(mse);for i=1:m-1mse(i)=mean(c(i,:).2,2)-mean(c(i,:),2).2;%方差百分比，也就是方差貢獻率mseb(i)=mse(i)/mmse*100;%顯示各個IMF的方差和貢獻率end;%畫出每個IMF分量及最后一個剩余分量residual的圖形figure(1)for i=1:m-1disp(imf,int2str(i) ;disp(mse(i) mseb(i);end;subplot(m+1,1,1)plot(t,z)set(gca,fontname,times New Roman)set(gca,fontsize,14.0)ylabel(signal,Amplitude)for i=1:m-1subplot(m+1,1,i+1);set(gcf,color,w)plot(t,c(i,:),k)set(gca,fontname,times New Roman)set(gca,fontsize,14.0)ylabel(imf,int2str(i)endsubplot(m+1,1,m+1);set(gcf,color,w)plot(t,c(m,:),k)set(gca,fontname,times New Roman)set(gca,fontsize,14.0)ylabel(r,int2str(m-1)%畫出每個IMF分量及剩余分量residual的幅頻曲線figure(2)subplot(m+1,1,1)set(gcf,color,w)f,z=fft(t,z);plot(f,z,k)set(gca,fontname,times New Roman)set(gca,fontsize,14.0)ylabel(initial signal,int2str(m-1),Amplitude)for i=1:m-1subplot(m+1,1,i+1);set(gcf,color,w)f,z=fft(t,c(i,:);plot(f,z,k)set(gca,fontname,times New Roman)set(gca,fontsize,14.0)ylabel(imf,int2str(i),Amplitude)endsubplot(m+1,1,m+1);set(gcf,color,w)f,z=fft(t,c(m,:);plot(f,z,k)set(gca,fontname,times New Roman)set(gca,fontsize,14.0)ylabel(r,int2str(m-1),Amplitude)hx=hilbert(z);xr=real(hx);xi=imag(hx);%計算瞬時振幅sz=sqrt(xr.2+xi.2);%計算瞬時相位sx=angle(hx);%計算瞬時頻率dt=diff(t);dx=diff(sx);sp=dx./dt;figure(6)plot(t(1:N-1),sp)title(瞬時頻率)%計算HHT時頻譜和邊際譜A,fa,tt=hhspectrum(c);E,tt1=toimage(A,fa,tt,length(tt);figure(3)disp_hhs(E,tt1) %二維圖顯示HHT時頻譜，E是求得的HHT譜pausefigure(4)for i=1:size(c,1)faa=fa(i,:);FA,TT1=meshgrid(faa,tt1);%三維圖顯示HHT時頻圖surf(FA,TT1,E)title(HHT時頻譜三維顯示)hold onendhold offE=flipud(E);for k=1:size(E,1)bjp(k)=sum(E(k,:)*1/fs;endf=(1:N-2)/N*(fs/2);figure(5)plot(f,bjp);xlabel(頻率 / Hz);ylabel(信號幅值);title(信號邊際譜)%要求邊際譜必須先對信號進行EMD分解function A,f,tt = hhspectrum(x,t,l,aff)error(nargchk(1,4,nargin);if nargin 2t=1:size(x,2);endif nargin 3l=1;endif nargin 4aff = 0;endif min(size(x) = 1if size(x,2) = 1x = x;if nargin = 0error(inf doit etre 0)endM=max(max(im);im = log10(im/M+1e-300);inf=inf/10;imagesc(t,fliplr(1:size(im,1)/(2*size(im,1),im,inf,0);set(gca,YDir,normal)xlabel(time)ylabel(normalized frequency)title(Hilbert-Huang spectrum)function f,z=fftfenxi(t,y)L=length(t);N=2nextpow2(L);%fft默認計算的信號是從0開始的t=linspace(t(1),t(L),N);deta=t(2)-t(1);m=0