DocumentCode :
3153997
Title :
A multi-dimensional model order selection criterion with improved identifiability
Author :
Liu, Kefei ; So, H.C. ; Lei Huang
Author_Institution :
Dept. of Electron. Eng., City Univ. of Hong Kong, Hong Kong, China
fYear :
2012
fDate :
25-30 March 2012
Firstpage :
2441
Lastpage :
2444
Abstract :
A novel R-dimensional (R ≥ 3) model order selection (MOS) criterion is proposed for estimating the number of sources embedded in noise. By extending the classical r-mode matrix unfolding of a Rth-order measurement tensor to multi-mode matrix unfolding, (2R-1 - 1) unfolded matrices are obtained. To maximize the identifiability, the unfolded matrix whose number of rows is closest to that of the columns is chosen. Meanwhile, as the so-obtained unfolded matrix is of large size, a sequence of nested hypothesis tests on its associated eigenvalues is utilized for MOS in the framework of the random matrix theory. The maximum number of sources the proposed enumerator able to identify is on the order of the square root of the product of all dimension sizes, whereas the identifiability of existing criteria is limited to the maximum dimension size minus one. Numerical results are included to illustrate the performance of the proposed enumerator.
Keywords :
array signal processing; eigenvalues and eigenfunctions; matrix algebra; random processes; tensors; R-dimensional array signal processing; R-dimensional model order selection criterion; Rth-order measurement tensor; associated eigenvalue; enumerator; identifiability improvement; multidimensional model order selection criterion; multimode matrix unfolding; nested hypothesis test; r-mode matrix unfolding; random matrix theory; Arrays; Covariance matrix; Eigenvalues and eigenfunctions; Noise measurement; Signal to noise ratio; Tensile stress; model order selection; random matrix theory; source enumeration; tensor algebra;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Acoustics, Speech and Signal Processing (ICASSP), 2012 IEEE International Conference on
Conference_Location :
Kyoto
ISSN :
1520-6149
Print_ISBN :
978-1-4673-0045-2
Electronic_ISBN :
1520-6149
Type :
conf
DOI :
10.1109/ICASSP.2012.6288409
Filename :
6288409
Link To Document :
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