Title
Second order subspace analysis and simple decompositions
Abstract
The recovery of the mixture of an N-dimensional signal generated by N independent processes is a well studied problem (see e.g. [1,10]) and robust algorithms that solve this problem by Joint Diagonalization exist. While there is a lot of empirical evidence suggesting that these algorithms are also capable of solving the case where the source signals have block structure (apart from a final permutation recovery step), this claim could not be shown yet - even more, it previously was not known if this model separable at all. We present a precise definition of the subspace model, introducing the notion of simple components, show that the decomposition into simple components is unique and present an algorithm handling the decomposition task.
Year
DOI
Venue
2010
10.1007/978-3-642-15995-4_46
LVA/ICA
Keywords
Field
DocType
joint diagonalization,order subspace analysis,block structure,n independent process,final permutation recovery step,simple decomposition,model separable,subspace model,precise definition,decomposition task,simple component,empirical evidence,second order
Combinatorics,Irreducible component,Block structure,Subspace topology,Algebra,Permutation,Separable space,Blind signal separation,Mathematics
Conference
Volume
ISSN
ISBN
6365
0302-9743
3-642-15994-X
Citations 
PageRank 
References 
5
0.50
7
Authors
3
Name
Order
Citations
PageRank
Harold W. Gutch1454.60
Takanori Maehara2100.99
Fabian J. Theis393185.37