哈尔滨工程大学学报
哈爾濱工程大學學報
합이빈공정대학학보
JOURNAL OF HARBIN ENGINEERING UNIVERSITY
2014年
4期
413-419
,共7页
董建超%杨铁军%李新辉%代路
董建超%楊鐵軍%李新輝%代路
동건초%양철군%리신휘%대로
盲源分离%独立分量分析%二阶盲辨识%峭度%模态识别%简谐成分
盲源分離%獨立分量分析%二階盲辨識%峭度%模態識彆%簡諧成分
맹원분리%독립분량분석%이계맹변식%초도%모태식별%간해성분
blind source separation%independent component analysis%second order blind identification%kurtosis%mode identification%harmonic components
盲源分离问题( BSS)大多基于信源信号的独立性假设或者时间结构假设条件来展开研究,对信源的不当假设可能导致算法过学习,产生虚假的信源识别结果。针对机械系统中普遍存在的简谐成分,研究了BSS方法应用于简谐成分盲分离的适用性。简要介绍了2种典型的BSS方法---独立分量分析方法( ICA)和二阶盲辨识方法( SOBI),通过峭度分析简谐信号的非高斯性,发现当简谐信号构成傅里叶级数系时,有可能构成非高斯性更强的信号。应用FastICA算法和SOBI算法进行简谐信号盲分离的仿真研究以及简支梁结构模态识别的实验研究。结果表明:当简谐信号构成傅里叶级数系时, ICA方法会优先分离非高斯性更强的信号,导致方法过学习;而SOBI方法能确保简谐成分的盲分离过程准确可靠。
盲源分離問題( BSS)大多基于信源信號的獨立性假設或者時間結構假設條件來展開研究,對信源的不噹假設可能導緻算法過學習,產生虛假的信源識彆結果。針對機械繫統中普遍存在的簡諧成分,研究瞭BSS方法應用于簡諧成分盲分離的適用性。簡要介紹瞭2種典型的BSS方法---獨立分量分析方法( ICA)和二階盲辨識方法( SOBI),通過峭度分析簡諧信號的非高斯性,髮現噹簡諧信號構成傅裏葉級數繫時,有可能構成非高斯性更彊的信號。應用FastICA算法和SOBI算法進行簡諧信號盲分離的倣真研究以及簡支樑結構模態識彆的實驗研究。結果錶明:噹簡諧信號構成傅裏葉級數繫時, ICA方法會優先分離非高斯性更彊的信號,導緻方法過學習;而SOBI方法能確保簡諧成分的盲分離過程準確可靠。
맹원분리문제( BSS)대다기우신원신호적독립성가설혹자시간결구가설조건래전개연구,대신원적불당가설가능도치산법과학습,산생허가적신원식별결과。침대궤계계통중보편존재적간해성분,연구료BSS방법응용우간해성분맹분리적괄용성。간요개소료2충전형적BSS방법---독립분량분석방법( ICA)화이계맹변식방법( SOBI),통과초도분석간해신호적비고사성,발현당간해신호구성부리협급수계시,유가능구성비고사성경강적신호。응용FastICA산법화SOBI산법진행간해신호맹분리적방진연구이급간지량결구모태식별적실험연구。결과표명:당간해신호구성부리협급수계시, ICA방법회우선분리비고사성경강적신호,도치방법과학습;이SOBI방법능학보간해성분적맹분리과정준학가고。
Most blind source separation ( BSS) problems are solved on the basis of the independence assumption of signals or the assumption of time structure. Inappropriate assumptions may result in algorithm overlearning, and fur-thermore lead to spurious identification of the signal source. The aim of this paper is to exploit the applicability of BSS methods used in blind separation of harmonic components, which are ubiquitous in mechanical systems. First-ly, two BSS methods, namely independent component analysis ( ICA) and second order blind identification ( SO-BI) , are described;then, the non-Gausianity of the harmonic signals is analyzed by kurtosis, finding that a signal with more intense non-Gausianity may be formed when the harmonic signals constitute a Fourier series;finally, the FastICA algorithm and SOBI algorithm are applied to the simulation of the blind separation of harmonic signals and the experimental research of mode identification of the simple-support structure. The results show that when the har-monic signals constitute a Fourier series, with the ICA method, the signal with more intense non-Gausianity will be separated in priority, which will lead to overlearning of the algorithm. However, the SOBI method may assure the accuracy and reliability of a blind separation process of the harmonic components.