An Alternating Least Squares (ALS) based Blind Source Separation Algorithm for Operational Modal Analysis
作者： J. Antoni , S. Chauhan
DOI: 10.1007/978-1-4419-9299-4_15
关键词:
摘要: In a former paper ("Second Order Blind Identification (SOBI) and its relation to Stochastic Subspace (SSI) algorithm", 28th IMAC, 2010), the authors established link between popular SSI algorithm used in output-only modal analysis Second developed for blind source separation field of signal processing. It was concluded that two algorithms, although seemingly very different, are actually jointly diagonalizing same covariance matrix over range time-lags. This is explicit SOBI implicit SSI. One main difference, however, focuses on estimating (real) as joint diagonalizer, but without taking advantage specific structure formed by Markov coefficients incorrectly assuming no-damping or low damping. On other hand, specifically exploits so estimate complex modes, puts less emphasis "joint diagonalizing" property matrix. The aim this communication introduce new based Alternating Least Squares (ALS) approach combines advantages both order return improved estimates parameters. shown work capable identifying closely spaced modes heavily damped can also be expanded
springer.com
bksv.jp
bksv.com 参考文章(13)
S. I. McNeill, D. C. Zimmerman, Blind Modal Identification Applied to Output-Only Building Vibration Springer, New York, NY. pp. 157- 176 ,(2011) , 10.1007/978-1-4419-9834-7_15
J. Antoni, S. Chauhan, Second Order Blind Source Separation techniques (SO-BSS) and their relation to Stochastic Subspace Identification (SSI) algorithm Springer, New York, NY. pp. 177- 187 ,(2011) , 10.1007/978-1-4419-9834-7_16
Peter van Overschee, Bart L. R. de Moor, Subspace Identification for Linear Systems: Theory - Implementation - Applications ,(2011)
ten Josephus Berge, Least squares optimization in multivariate analysis DSWO Press. ,(2005)
Shun-ichi Amari, Andrzej Cichocki, Adaptive blind signal and image processing ,(2002)
Rune Brincker, Palle Andersen, Understanding Stochastic Subspace Identification The International Modal Analysis Conference. ,(2006)
Ledyard R Tucker, Some mathematical notes on three-mode factor analysis Psychometrika. ,vol. 31, pp. 279- 311 ,(1966) , 10.1007/BF02289464
S.I. McNeill, D.C. Zimmerman, A framework for blind modal identification using joint approximate diagonalization Mechanical Systems and Signal Processing. ,vol. 22, pp. 1526- 1548 ,(2008) , 10.1016/J.YMSSP.2008.01.010
G. Kerschen, F. Poncelet, J.-C. Golinval, Physical interpretation of independent component analysis in structural dynamics Mechanical Systems and Signal Processing. ,vol. 21, pp. 1561- 1575 ,(2007) , 10.1016/J.YMSSP.2006.07.009
Giorgio Tomasi, Rasmus Bro, A comparison of algorithms for fitting the PARAFAC model Computational Statistics & Data Analysis. ,vol. 50, pp. 1700- 1734 ,(2006) , 10.1016/J.CSDA.2004.11.013