Model Wavelet coefficients using Gaussian Mixtures

Question

A. P. B. 2018-1-4

0
链接

此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/375643-model-wavelet-coefficients-using-gaussian-mixtures

wavelet_coeff.mat

I tried to model the 'coefficient distribution of the wavelet using Gaussian Mixtures. I have attached the wavelet I am trying to model with this.

I have written this piece of code to model the data. However it doesnt model the coefficient distribution which is most probably the histogram of the distribution. How can I modify the code to model the distribution of wavelet coefficients

X = mat_cell;num_dim=2;num_clus = 2; % number of mixtures/clusters

        [counts,binLocations] = imhist(X);
        stem(binLocations, counts, 'MarkerSize', 1 );
        xlim([-1 1]); 
        % inital kmeans step used to initialize EM
        rng('default');
        data=reshape(X,[],num_dim);
        [kmeanscid,cInd.mu] = kmeans(data, num_clus,'MaxIter', 75536);
        data_k_1=data(kmeanscid==1);
        data_k_2=data(kmeanscid==2);
        a = diag(cov(data_k_1'));
        b=diag(cov(data_k_2')); 
        if a==0
            a=0.1;
        elseif b==0
            b=0.1;   
        end
        initialsigma = cat(3,[a,a],[b,b]);  
        %disp(initialsigma);
        cInd.Sigma=initialsigma;
        % fit a GMM model
        options = statset('MaxIter', 75536); 
        gmm = fitgmdist(data, num_clus,'Start',cInd,'CovarianceType','diagonal','Regularize',1e-5,'Options',options);