电子学报
電子學報
전자학보
ACTA ELECTRONICA SINICA
2014年
5期
992-997
,共6页
欠定盲源信号分离%分层交替最小二乘%四阶累积张量分解%库克分解
欠定盲源信號分離%分層交替最小二乘%四階纍積張量分解%庫剋分解
흠정맹원신호분리%분층교체최소이승%사계루적장량분해%고극분해
underdetermined source blind separation%hierarchical alternating least squares%fourth order cumulant of tensor decomposition%Tucker decomposition
针对瞬时欠定盲源信号分离问题，提出一种四阶累积张量分解算法。首先构建观察信号四阶累积协方差，依据源信号具有相互独立且均值为零的性质，对累积协方差化简并扩展到张量域，得到四阶累积张量。采用分层交替最小二乘算法对四阶累积张量进行非负库克分解，求得非负库克模型的参数，同时获得非负混合矩阵并求其伪逆，最终估计出源信号。选用真实的语音信号和生物信号进行仿真实验，结果表明该方法提高了源信号和非负混合矩阵的估计性能。
針對瞬時欠定盲源信號分離問題，提齣一種四階纍積張量分解算法。首先構建觀察信號四階纍積協方差，依據源信號具有相互獨立且均值為零的性質，對纍積協方差化簡併擴展到張量域，得到四階纍積張量。採用分層交替最小二乘算法對四階纍積張量進行非負庫剋分解，求得非負庫剋模型的參數，同時穫得非負混閤矩陣併求其偽逆，最終估計齣源信號。選用真實的語音信號和生物信號進行倣真實驗，結果錶明該方法提高瞭源信號和非負混閤矩陣的估計性能。
침대순시흠정맹원신호분리문제，제출일충사계루적장량분해산법。수선구건관찰신호사계루적협방차，의거원신호구유상호독립차균치위령적성질，대루적협방차화간병확전도장량역，득도사계루적장량。채용분층교체최소이승산법대사계루적장량진행비부고극분해，구득비부고극모형적삼수，동시획득비부혼합구진병구기위역，최종고계출원신호。선용진실적어음신호화생물신호진행방진실험，결과표명해방법제고료원신호화비부혼합구진적고계성능。
This paper proposes a fourth order cunmulant of tensor decomposition method to solve the problem for blind iden-tification of underdetermined separation .First ,the fourth order cumulant of covariance is constructed based on observe signals .By assuming that the source signals are independent ,and are of zero mean ,the hierarchical alternating least squares method is used to decompose fourth order cumulant of tensor into the nonnegative Tucker .Then ,the mixture matrix is acquired by the parameters of nonnegative Tucker model .The source is also acquired by solving the pseudo-inverse of mixture matrix .Finally ,by using the speech signals and the biomedical signals ,two numerical examples are conducted to demonstrate the effectiveness of the proposed method .
