function?[Pout?Beta]?=?HMM_Backward（a?b?final_state?V）

%?Find?the?probability?of?a?finite?state?in?a?Markov?chain?using?the?HMM?backward?algorithm
%
%?Inputs:
%	a					-?Transition?probability?matrix
%	b					-?Output?generator?matrix
%	final_state		????-?Final?state?or?final?beta
%	V					-?Observed?output?sequence
%
%?Output:
%	Pout				-?A?probability?matrix
%???Beta????????????????-?The?probability?matrix?through?the?stages


beta?		=?zeros（1size（a1））;

if?（prod（size（final_state））?==?1）
????old_beta	=?zeros（size（beta））;
????old_beta（final_state）?=?1;
else
????old_beta?=?final_state;
end

Beta（length（V）:）???=?old_beta;

%t?<-?t-1
for?t?=?length（V）-1:-1:1
???for?j?=?1:length（beta）
??????for?i?=?1:size（a1）
?????????%beta_i（t+1）*a_ij*b_ij_v（t）
??????	P（ij）?=?old_beta（i）*a（ij）*b（jV（t+1））;???
??????end
???end
???%beta_j（t）?=?sum（P）
???beta			=?sum（P）;
???old_beta?	=?beta;
???Beta（t:）=?beta;
end

%P（Vt）?<-?beta_i（0）
Pout?=?beta;
Beta?=?Beta‘;

?屬性????????????大小?????日期????時(shí)間???名稱
-----------?---------??----------?-----??----
?????目錄???????????0??2018-09-06?19:49??HMM隱馬爾科夫模型\
?????目錄???????????0??2014-10-05?16:29??HMM隱馬爾科夫模型\源代碼\
?????目錄???????????0??2014-10-05?16:29??HMM隱馬爾科夫模型\源代碼\3.10.4估值問題\
?????文件???????24064??2013-10-07?16:06??HMM隱馬爾科夫模型\源代碼\3.10.4估值問題\AlphaMatrix.xls
?????文件????????1010??2003-06-26?20:47??HMM隱馬爾科夫模型\源代碼\3.10.4估值問題\HMM_Backward.m
?????文件?????????957??2013-07-03?15:10??HMM隱馬爾科夫模型\源代碼\3.10.4估值問題\HMM_Forward.m
?????文件????????1289??2013-07-01?19:24??HMM隱馬爾科夫模型\源代碼\3.10.4估值問題\HMM_Forward_demo.m
?????目錄???????????0??2014-10-05?16:29??HMM隱馬爾科夫模型\源代碼\3.10.5解碼問題\
?????文件?????????922??2013-07-05?15:35??HMM隱馬爾科夫模型\源代碼\3.10.5解碼問題\HMM_Decoding.m
?????文件????????1117??2013-07-01?19:40??HMM隱馬爾科夫模型\源代碼\3.10.5解碼問題\HMM_Decoding_demo.m
?????目錄???????????0??2014-10-05?16:29??HMM隱馬爾科夫模型\源代碼\3.10.6學(xué)習(xí)問題\
?????文件????????1010??2003-06-26?20:47??HMM隱馬爾科夫模型\源代碼\3.10.6學(xué)習(xí)問題\HMM_Backward.m
?????文件?????????957??2013-07-03?15:10??HMM隱馬爾科夫模型\源代碼\3.10.6學(xué)習(xí)問題\HMM_Forward.m
?????文件????????1798??2013-07-02?22:09??HMM隱馬爾科夫模型\源代碼\3.10.6學(xué)習(xí)問題\HMM_Forward_Backward.m
?????文件?????????919??2003-11-13?20:52??HMM隱馬爾科夫模型\源代碼\3.10.6學(xué)習(xí)問題\HMM_generate.m
?????目錄???????????0??2014-10-05?16:29??HMM隱馬爾科夫模型\源代碼\HMM_VoiceRecognation\
?????文件????????4027??2013-07-07?16:42??HMM隱馬爾科夫模型\源代碼\HMM_VoiceRecognation\HMM_VoiceRecognation.fig
?????文件????????7655??2013-07-07?16:45??HMM隱馬爾科夫模型\源代碼\HMM_VoiceRecognation\HMM_VoiceRecognation.m
?????文件????????1539??2013-07-06?13:08??HMM隱馬爾科夫模型\源代碼\HMM_VoiceRecognation\baum.m
?????目錄???????????0??2014-10-05?16:29??HMM隱馬爾科夫模型\源代碼\HMM_VoiceRecognation\data\
?????目錄???????????0??2014-10-05?16:29??HMM隱馬爾科夫模型\源代碼\HMM_VoiceRecognation\data\test\
?????文件???????29640??2001-10-21?16:33??HMM隱馬爾科夫模型\源代碼\HMM_VoiceRecognation\data\test\0b.wav
?????文件???????31800??2001-10-21?16:35??HMM隱馬爾科夫模型\源代碼\HMM_VoiceRecognation\data\test\1b.wav
?????文件???????37224??2001-10-21?16:36??HMM隱馬爾科夫模型\源代碼\HMM_VoiceRecognation\data\test\2b.wav
?????文件???????32664??2001-10-21?16:36??HMM隱馬爾科夫模型\源代碼\HMM_VoiceRecognation\data\test\3b.wav
?????文件???????38264??2001-10-21?16:37??HMM隱馬爾科夫模型\源代碼\HMM_VoiceRecognation\data\test\4b.wav
?????文件???????37144??2001-10-21?16:38??HMM隱馬爾科夫模型\源代碼\HMM_VoiceRecognation\data\test\5b.wav
?????文件???????35624??2001-10-21?16:38??HMM隱馬爾科夫模型\源代碼\HMM_VoiceRecognation\data\test\6b.wav
?????文件???????33576??2001-10-21?16:39??HMM隱馬爾科夫模型\源代碼\HMM_VoiceRecognation\data\test\7b.wav
?????文件???????21608??2001-10-21?16:39??HMM隱馬爾科夫模型\源代碼\HMM_VoiceRecognation\data\test\8b.wav
?????文件???????27192??2001-10-21?16:40??HMM隱馬爾科夫模型\源代碼\HMM_VoiceRecognation\data\test\9b.wav
............此處省略25個(gè)文件信息