本来毕设是这个类型的（后来去了这个环节。总的来说也有所收获）
看了各种论文，都是GMM-EM，概率论朝天。
还会聚类分析预测一下，然后就是很多不懂的东西。我只知道我根据语音分析工具获得的是许多离散点
这些离散点可以plot(x,y)直接就化成曲线，也可以化成直方图。
不懂多帧高斯混合所谓的阶数问题。可能看了那么多高斯算法还没有真正读投那些的含义。
简单说我用得是STRAIGHT工具提取出来的sp进行拟合。如果有其他离散点也是可以的。
终于知道单帧高斯的数据要怎么弄了。
蓝色的是我通过博文里面的方法获得的数据，data和dataY，但是扔进高斯里面的其实只是data而已。
黑色是原来的单帧sp。红色是我用16个高斯/正态分布弄的。
‘一sp.mat’是多帧频谱，我取的是第三帧去拟合的效果，lsp第三帧。代码中的gaussmix是用的voicetool里面的
load('一sp.mat')
y=sp;
lsp=y(:,3);
%%
cnt=10000;
ilen=linspace(1,1025,cnt);
%isp=interp1(1:1025,lsp,ilen);%改变采样点数
Ux =1025*rand(1,cnt);
isp=interp1(1:1025,lsp,Ux);
Uy=max(isp)*rand(1,cnt);
data=Ux(Uy<=isp);
datay=Uy(Uy<=isp);
figure
plot(data,datay,'*');
hold on
plot(lsp,'k');
%[u,sig,t,iter] = fit_mix_gaussian(data',14);
[u,sig,t,g,f,pp,gg]=gaussmix(data',[],100.001,16,'kf');
u=u';
sig=sig';
t=t';
for ind=1:1025
newisp(ind)=0;
newisp(ind)=sum(t./sqrt(2*pi*sig).*exp(-(ind-u).^2./(2*sig)),2);
end
t=t*max(lsp)/max(newisp);
for ind=1:1025
newisp(ind)=0;
newisp(ind)=sum(t./sqrt(2*pi*sig).*exp(-(ind-u).^2./(2*sig)),2);
end
plot(newisp,'r'); 第三帧数据
我用的是save('sp3.txt','lsp','-ascii')保存的
所以要也那样保存，在用lsp=load('sp3.txt','-ascii'); 就可以直接从代码cnt=10000接着进行了
4.5349058e-02
4.5367922e-02
4.5399739e-02
4.5409654e-02
4.5367936e-02
4.5247795e-02
4.5031328e-02
4.4707008e-02
4.4273857e-02
4.3737253e-02
4.3113425e-02
4.2420359e-02
4.1660032e-02
4.0831986e-02
3.9935151e-02
3.8968584e-02
3.7931499e-02
3.6822223e-02
3.5640654e-02
3.4387561e-02
3.3069287e-02
3.1694881e-02
3.0294978e-02
2.8916411e-02
2.7600819e-02
2.6384756e-02
2.5295814e-02
2.4352627e-02
2.3564124e-02
2.2929639e-02
2.2439603e-02
2.2074569e-02
2.1816707e-02
2.1653856e-02
2.1571824e-02
2.1556900e-02
2.1596749e-02
2.1683364e-02
2.1812949e-02
2.1986103e-02
2.2204423e-02
2.2467831e-02
2.2770126e-02
2.3095261e-02
2.3419924e-02
2.3715756e-02
2.3950981e-02
2.4093482e-02
2.4113429e-02
2.3986905e-02
2.3699021e-02
2.3247806e-02
2.2645504e-02
2.1916000e-02
2.1090721e-02
2.0202865e-02
1.9282447e-02
1.8352752e-02
1.7428037e-02
1.6513393e-02
1.5606716e-02
1.4702823e-02
1.3797297e-02
1.2890536e-02
1.1988876e-02
1.1103907e-02
1.0251456e-02
9.4494914e-03
8.7157246e-03
8.0655350e-03
7.5101943e-03
7.0554892e-03
6.7004752e-03
6.4381413e-03
6.2575661e-03
6.1464964e-03
6.0935854e-03
6.0898030e-03
6.1292623e-03
6.2096927e-03
6.3323247e-03
6.5011689e-03
6.7217444e-03
6.9996549e-03
7.3389938e-03
7.7407589e-03
8.2014543e-03
8.7124717e-03
9.2602987e-03
9.8274600e-03
1.0393875e-02
1.0938788e-02
1.1443264e-02
1.1892830e-02
1.2278882e-02
1.2598265e-02
1.2851664e-02
1.3041707e-02
1.3171227e-02
1.3242068e-02
1.3254534e-02
1.3207534e-02
1.3099241e-02
1.2928114e-02
1.2694035e-02
1.2399459e-02
1.2050215e-02
1.1655693e-02
1.1228219e-02
1.0781986e-02
1.0331886e-02
9.8924743e-03
9.4769347e-03
9.0960487e-03
8.7571897e-03
8.4637560e-03
8.2152997e-03
8.0085104e-03
7.8386616e-03
7.7010275e-03
7.5918774e-03
7.5090283e-03
7.4519597e-03
7.4216104e-03
7.4198990e-03
7.4490930e-03
7.5110987e-03
7.6068364e-03
7.7357646e-03
7.8955959e-03
8.0821282e-03
8.2892174e-03
8.5089635e-03
8.7323281e-03
8.9503017e-03
9.1555403e-03
9.3438967e-03
9.5150713e-03
9.6719584e-03
9.8191941e-03
9.9615888e-03
1.0102863e-02
1.0244746e-02
1.0386516e-02
1.0525000e-02
1.0655053e-02
1.0770376e-02
1.0864523e-02
1.0931857e-02
1.0968337e-02
1.0972053e-02
1.0943527e-02
1.0885704e-02
1.0803592e-02
1.0703323e-02
1.0590605e-02
1.0468779e-02
1.0337408e-02
1.0192295e-02
1.0026906e-02
9.8343304e-03
9.6090935e-03
9.3485341e-03
9.0535642e-03
8.7286547e-03
8.3811590e-03
8.0202657e-03
7.6559335e-03
7.2979903e-03
6.9554893e-03
6.6362858e-03
6.3468047e-03
6.0919244e-03
5.8749811e-03
5.6979117e-03
5.5616510e-03
5.4668105e-03
5.4144843e-03
5.4067609e-03
5.4467139e-03
5.5379593e-03
5.6839270e-03
5.8869510e-03
6.1474596e-03
6.4635450e-03
6.8310719e-03
7.2441573e-03
7.6957068e-03
8.1777425e-03
8.6814808e-03
9.1972563e-03
9.7144689e-03
1.0221673e-02
1.0706899e-02
1.1158189e-02
1.1564277e-02
1.1915239e-02
1.2202977e-02
1.2421456e-02
1.2566703e-02
1.2636577e-02
1.2630700e-02
1.2550914e-02
1.2401794e-02
1.2190581e-02
1.1926445e-02
1.1619345e-02
1.1278960e-02
1.0914046e-02
1.0532306e-02
1.0140541e-02
9.7448846e-03
9.3509134e-03
8.9636308e-03
8.5873081e-03
8.2252645e-03
7.8796361e-03
7.5512448e-03
7.2396825e-03
6.9438926e-03
6.6635360e-03
6.4005171e-03
6.1587896e-03
5.9426387e-03
5.7553670e-03
5.5988275e-03
5.4734109e-03
5.3781692e-03
5.3109700e-03
5.2686760e-03
5.2473937e-03
5.2427867e-03
5.2504325e-03
5.2661939e-03
5.2865930e-03
5.3091810e-03
5.3328964e-03
5.3583806e-03
5.3881447e-03
5.4262651e-03
5.4769486e-03
5.5417366e-03
5.6175746e-03
5.6980623e-03
5.7759316e-03
5.8447397e-03
5.8998233e-03
5.9388680e-03
5.9622016e-03
5.9727647e-03
5.9757318e-03
5.9778561e-03
5.9867172e-03
6.0100119e-03
6.0549720e-03
6.1278972e-03
6.2337617e-03
6.3758051e-03
6.5550629e-03
6.7699046e-03
7.0160095e-03
7.2874815e-03
7.5788399e-03
7.8858304e-03
8.2046321e-03
8.5310374e-03
8.8601082e-03
9.1861066e-03
9.5024199e-03
9.8013361e-03
1.0073821e-02
1.0309662e-02
1.0498065e-02
1.0628551e-02
1.0691949e-02
1.0681328e-02
1.0592781e-02
1.0426028e-02
1.0184808e-02
9.8770512e-03
9.5146971e-03
9.1129600e-03
8.6889114e-03
8.2598943e-03
7.8423770e-03
7.4511194e-03
7.0984293e-03
6.7935472e-03
6.5423912e-03
6.3480124e-03
6.2117207e-03
6.1342499e-03
6.1164479e-03
6.1594693e-03
6.2646497e-03
6.4332015e-03
6.6657971e-03
6.9620758e-03
7.3201119e-03
7.7359214e-03
8.2030931e-03
8.7125698e-03
9.2526157e-03
9.8091033e-03
1.0366067e-02
1.0906493e-02
1.1413465e-02
1.1871640e-02
1.2268784e-02
1.2596781e-02
1.2851527e-02
1.3031885e-02
1.3138435e-02
1.3172581e-02
1.3136168e-02
1.3031538e-02
1.2861875e-02
1.2631651e-02
1.2346958e-02
1.2015512e-02
1.1646227e-02
1.1248560e-02
1.0832181e-02
1.0406934e-02
9.9826534e-03
9.5687607e-03
9.1737559e-03
8.8046917e-03
8.4667003e-03
8.1627382e-03
7.8937858e-03
7.6594991e-03
7.4586877e-03
7.2894503e-03
7.1492229e-03
7.0346985e-03
6.9416142e-03
6.8648380e-03
6.7985783e-03
6.7363777e-03
6.6720032e-03
6.6013376e-03
6.5235209e-03
6.4401011e-03
6.3535618e-03
6.2664267e-03
6.1809000e-03
6.0987462e-03
6.0213295e-03
5.9497197e-03
5.8847367e-03
5.8266726e-03
5.7752803e-03
5.7307137e-03
5.6944886e-03
5.6699713e-03
5.6626667e-03
5.6799375e-03
5.7297473e-03
5.8203194e-03
5.9599547e-03
6.1547761e-03
6.4058547e-03
6.7085654e-03
7.0542488e-03
7.4316780e-03
7.8278300e-03
8.2282215e-03
8.6173454e-03
8.9791564e-03
9.2982535e-03
9.5625180e-03
9.7669151e-03
9.9119320e-03
9.9981749e-03
1.0023207e-02
9.9807186e-03
9.8610944e-03
9.6577115e-03
9.3723234e-03
9.0107129e-03
8.5802622e-03
8.0914984e-03
7.5589931e-03
7.0000042e-03
6.4326412e-03
5.8745421e-03
5.3421957e-03
4.8503840e-03
4.4118575e-03
4.0368196e-03
3.7317510e-03
3.4965670e-03
3.3245246e-03
3.2080007e-03
3.1429120e-03
3.1298452e-03
3.1742288e-03
3.2836898e-03
3.4603886e-03
3.7007747e-03
4.0004823e-03
4.3549497e-03
4.7585675e-03
5.2039119e-03
5.6814290e-03
6.1791667e-03
6.6827602e-03
7.1754283e-03
7.6383663e-03
8.0513288e-03
8.3945077e-03
8.6536094e-03
8.8270086e-03
8.9231412e-03
8.9520123e-03
8.9208688e-03
8.8329343e-03
8.6878926e-03
8.4880944e-03
8.2432831e-03
7.9656090e-03
7.6663272e-03
7.3558887e-03
7.0444690e-03
6.7422157e-03
6.4593946e-03
6.2063336e-03
5.9934530e-03
5.8312431e-03
5.7303697e-03
5.7014954e-03
5.7535727e-03
5.8884279e-03
6.0982218e-03
6.3706321e-03
6.6927297e-03
7.0521497e-03
7.4378348e-03
7.8400459e-03
8.2493007e-03
8.6565746e-03
9.0543225e-03
9.4363572e-03
9.7973204e-03
1.0131974e-02
1.0434700e-02
1.0699221e-02
1.0918639e-02
1.1085484e-02
1.1191928e-02
1.1230139e-02
1.1193545e-02
1.1080687e-02
1.0900083e-02
1.0667793e-02
1.0401682e-02
1.0118699e-02
9.8333451e-03
9.5567457e-03
9.2965263e-03
9.0571285e-03
8.8398808e-03
8.6437402e-03
8.4665512e-03
8.3064954e-03
8.1632014e-03
8.0377956e-03
7.9319829e-03
7.8471517e-03
7.7841248e-03
7.7435190e-03
7.7262602e-03
7.7335071e-03
7.7657271e-03
7.8223376e-03
7.9026811e-03
8.0067511e-03
8.1355856e-03
8.2916703e-03
8.4793574e-03
8.7051636e-03
8.9777520e-03
9.3075250e-03
9.7055808e-03
1.0181862e-02
1.0742645e-02
1.1389909e-02
1.2122908e-02
1.2939267e-02
1.3835893e-02
1.4809067e-02
1.5853257e-02
1.6959926e-02
1.8117618e-02
1.9312613e-02
2.0529188e-02
2.1749919e-02
2.2956764e-02
2.4132127e-02
2.5259450e-02
2.6323303e-02
2.7309447e-02
2.8204866e-02
2.8998194e-02
2.9680667e-02
3.0247837e-02
3.0698918e-02
3.1030445e-02
3.1235147e-02
3.1304966e-02
3.1233488e-02
3.1022356e-02
3.0687414e-02
3.0256817e-02
2.9763825e-02
2.9241802e-02
2.8720775e-02
2.8225067e-02
2.7771053e-02
2.7366916e-02
2.7012961e-02
2.6702838e-02
2.6423815e-02
2.6158081e-02
2.5882771e-02
2.5572158e-02
2.5201053e-02
2.4769732e-02
2.4317197e-02
2.3894114e-02
2.3545183e-02
2.3299523e-02
2.3159168e-02
2.3096061e-02
2.3063232e-02
2.3006304e-02
2.2872243e-02
2.2617003e-02
2.2214277e-02
2.1659794e-02
2.0969971e-02
2.0177137e-02
1.9325376e-02
1.8466172e-02
1.7655863e-02
1.6952934e-02
1.6415892e-02
1.6085563e-02
1.5945837e-02
1.5943771e-02
1.6028741e-02
1.6162899e-02
1.6327792e-02
1.6529524e-02
1.6796416e-02
1.7171374e-02
1.7705937e-02
1.8453536e-02
1.9460573e-02
2.0756085e-02
2.2348366e-02
2.4225619e-02
2.6357866e-02
2.8697436e-02
3.1180546e-02
3.3726994e-02
3.6243810e-02
3.8632557e-02
4.0831983e-02
4.2843963e-02
4.4697437e-02
4.6423704e-02
4.8047467e-02
4.9579214e-02
5.1009534e-02
5.2308726e-02
5.3428521e-02
5.4307601e-02
5.4881723e-02
5.5099632e-02
5.4937393e-02
5.4409270e-02
5.3570855e-02
5.2506501e-02
5.1309743e-02
5.0070954e-02
4.8870585e-02
4.7775351e-02
4.6830924e-02
4.6051248e-02
4.5424822e-02
4.4927849e-02
4.4531764e-02
4.4209917e-02
4.3944076e-02
4.3729397e-02
4.3577174e-02
4.3515912e-02
4.3589931e-02
4.3854646e-02
4.4366308e-02
4.5162861e-02
4.6239087e-02
4.7541197e-02
4.8987568e-02
5.0490046e-02
5.1963349e-02
5.3328786e-02
5.4518026e-02
5.5481073e-02
5.6191450e-02
5.6642928e-02
5.6844739e-02
5.6817743e-02
5.6589043e-02
5.6185101e-02
5.5625877e-02
5.4921605e-02
5.4072162e-02
5.3068301e-02
5.1895501e-02
5.0543034e-02
4.9018862e-02
4.7358635e-02
4.5614941e-02
4.3838248e-02
4.2068095e-02
4.0334626e-02
3.8660724e-02
3.7061760e-02
3.5545400e-02
3.4115117e-02
3.2778450e-02
3.1548676e-02
3.0438296e-02
2.9456016e-02
2.8607457e-02
2.7895716e-02
2.7320326e-02
2.6876062e-02
2.6552750e-02
2.6335052e-02
2.6200889e-02
2.6120331e-02
2.6060470e-02
2.6001928e-02
2.5954665e-02
2.5951301e-02
2.6031160e-02
2.6233525e-02
2.6595431e-02
2.7147117e-02
2.7897709e-02
2.8820937e-02
2.9860601e-02
3.0945037e-02
3.1996856e-02
3.2942007e-02
3.3722557e-02
3.4310765e-02
3.4713838e-02
3.4968565e-02
3.5134652e-02
3.5290077e-02
3.5523232e-02
3.5910634e-02
3.6478356e-02
3.7191840e-02
3.7988624e-02
3.8805504e-02
3.9589246e-02
4.0302801e-02
4.0935000e-02
4.1514905e-02
4.2113645e-02
4.2830198e-02
4.3777103e-02
4.5068645e-02
4.6804662e-02
4.9047314e-02
5.1804628e-02
5.5035561e-02
5.8664409e-02
6.2590385e-02
6.6693817e-02
7.0847764e-02
7.4947468e-02
7.8940391e-02
8.2815410e-02
8.6571960e-02
9.0202445e-02
9.3684585e-02
9.6978705e-02
1.0002516e-01
1.0274419e-01
1.0504222e-01
1.0682167e-01
1.0799109e-01
1.0847868e-01
1.0825113e-01
1.0733004e-01
1.0578773e-01
1.0372521e-01
1.0125174e-01
9.8472605e-02
9.5481934e-02
9.2356265e-02
8.9147453e-02
8.5882495e-02
8.2572520e-02
7.9224123e-02
7.5848047e-02
7.2462465e-02
6.9092561e-02
6.5768659e-02
6.2522871e-02
5.9385050e-02
5.6379898e-02
5.3524983e-02
5.0828906e-02
4.8289615e-02
4.5894846e-02
4.3625576e-02
4.1460258e-02
3.9378100e-02
3.7361124e-02
3.5395024e-02
3.3471377e-02
3.1592719e-02
2.9778340e-02
2.8060854e-02
2.6472654e-02
2.5036198e-02
2.3762195e-02
2.2651765e-02
2.1699343e-02
2.0895139e-02
2.0226943e-02
1.9681680e-02
1.9246914e-02
1.8912437e-02
1.8671595e-02
1.8521872e-02
1.8464592e-02
1.8503831e-02
1.8644770e-02
1.8893538e-02
1.9257840e-02
1.9744199e-02
2.0348513e-02
2.1046250e-02
2.1796171e-02
2.2551590e-02
2.3267578e-02
2.3904147e-02
2.4427891e-02
2.4813289e-02
2.5043695e-02
2.5111635e-02
2.5017728e-02
2.4767766e-02
2.4369042e-02
2.3827603e-02
2.3147254e-02
2.2331556e-02
2.1389969e-02
2.0341914e-02
1.9211965e-02
1.8024247e-02
1.6802727e-02
1.5575106e-02
1.4373034e-02
1.3227166e-02
1.2163256e-02
1.1200915e-02
1.0353601e-02
9.6289617e-03
9.0293009e-03
8.5521845e-03
8.1913181e-03
7.9385116e-03
7.7867648e-03
7.7326486e-03
7.7772405e-03
7.9253281e-03
8.1813021e-03
8.5423785e-03
8.9969552e-03
9.5289969e-03
1.0121133e-02
1.0755161e-02
1.1411653e-02
1.2070147e-02
1.2709738e-02
1.3309502e-02
1.3848767e-02
1.4307543e-02
1.4667344e-02
1.4913005e-02
1.5036431e-02
1.5040123e-02
1.4933881e-02
1.4727791e-02
1.4428577e-02
1.4039166e-02
1.3560926e-02
1.2998352e-02
1.2362309e-02
1.1667933e-02
1.0931501e-02
1.0169273e-02
9.3973913e-03
8.6316036e-03
7.8866896e-03
7.1760974e-03
6.5119123e-03
5.9049006e-03
5.3644370e-03
4.8979586e-03
4.5092601e-03
4.1955583e-03
3.9477355e-03
3.7553227e-03
3.6100283e-03
3.5065005e-03
3.4419867e-03
3.4155122e-03
3.4269284e-03
3.4763323e-03
3.5638661e-03
3.6894060e-03
3.8521785e-03
4.0504339e-03
4.2812639e-03
4.5404586e-03
4.8223462e-03
5.1195559e-03
5.4228473e-03
5.7212184e-03
6.0028081e-03
6.2572508e-03
6.4783832e-03
6.6636657e-03
6.8115867e-03
6.9203668e-03
6.9878441e-03
7.0121277e-03
6.9926286e-03
6.9308530e-03
6.8303722e-03
6.6963959e-03
6.5353267e-03
6.3543432e-03
6.1609370e-03
5.9624648e-03
5.7657821e-03
5.5770330e-03
5.4015860e-03
5.2440731e-03
5.1083864e-03
4.9975012e-03
4.9131977e-03
4.8562163e-03
4.8269323e-03
4.8257947e-03
4.8532696e-03
4.9093731e-03
4.9929151e-03
5.1008148e-03
5.2279295e-03
5.3674813e-03
5.5117626e-03
5.6528343e-03
5.7830751e-03
5.8955300e-03
5.9840599e-03
6.0433753e-03
6.0690493e-03
6.0576317e-03
6.0070280e-03
5.9172571e-03
5.7911065e-03
5.6339242e-03
5.4525821e-03
5.2544161e-03
5.0466276e-03
4.8360933e-03
4.6294569e-03
4.4332928e-03
4.2540592e-03
4.0977216e-03
3.9692223e-03
3.8720480e-03
3.8080314e-03
3.7774407e-03
3.7793323e-03
3.8120660e-03
3.8738686e-03
3.9633922e-03
4.0801364e-03
4.2241840e-03
4.3948406e-03
4.5893559e-03
4.8027939e-03
5.0285490e-03
5.2589325e-03
5.4856934e-03
5.7004957e-03
5.8953721e-03
6.0632025e-03
6.1982566e-03
6.2967782e-03
6.3574998e-03
6.3819622e-03
6.3745120e-03
6.3419127e-03
6.2925928e-03
6.2356295e-03
6.1794739e-03
6.1303378e-03
6.0906748e-03
6.0593966e-03
6.0341278e-03
6.0131453e-03
5.9959885e-03
5.9834012e-03
5.9770748e-03
5.9793158e-03
5.9926737e-03
6.0195711e-03
6.0619522e-03
6.1209652e-03
6.1966991e-03
6.2880061e-03
6.3924251e-03
6.5062293e-03
6.6246183e-03
6.7420915e-03
6.8530552e-03
6.9527940e-03
7.0388177e-03
7.1118223e-03
7.1750356e-03
7.2324648e-03
7.2874720e-03
7.3419573e-03
7.3959831e-03
7.4477886e-03
7.4941856e-03
7.5312272e-03
7.5549965e-03
7.5623475e-03
7.5514482e-03
7.5220096e-03
7.4752022e-03
7.4133585e-03
7.3395820e-03
7.2573394e-03
7.1700789e-03
7.0808805e-03
6.9921428e-03
6.9053815e-03
6.8213808e-03
6.7407261e-03
6.6643749e-03
6.5940556e-03
6.5324711e-03
6.4832663e-03
6.4507191e-03
6.4391959e-03
6.4524706e-03
6.4930296e-03
6.5615079e-03
6.6564119e-03
6.7741994e-03
6.9096380e-03
7.0562921e-03
7.2070278e-03
7.3544869e-03
7.4915154e-03
7.6115515e-03
7.7089533e-03
7.7791779e-03
7.8186907e-03
7.8246826e-03
7.7948051e-03
7.7270384e-03
7.6197394e-03
7.4718745e-03
7.2833658e-03
7.0554181e-03
6.7907143e-03
6.4934460e-03
6.1691640e-03
5.8244432e-03
5.4664062e-03
5.1022047e-03
4.7385568e-03
4.3813970e-03
4.0356636e-03
3.7052203e-03
3.3929008e-03
3.1006608e-03
2.8298008e-03
2.5811836e-03
2.3553637e-03
2.1526070e-03
1.9728332e-03
1.8155292e-03
1.6796741e-03
1.5637365e-03
1.4657758e-03
1.3836169e-03
1.3150301e-03
1.2578739e-03
1.2101998e-03
1.1703356e-03
1.1369559e-03
1.1091312e-03
1.0863318e-03
1.0683736e-03
1.0553197e-03
1.0473592e-03
1.0446798e-03