NDLI: PARAFAC-Based Blind Estimation Of Possibly Underdetermined Convolutive MIMO Systems

Content Provider	IEEE Xplore Digital Library
Author	Yuanning Yu Petropulu, A.P.
Copyright Year	1991
Abstract	In this paper, we consider the problem of blind identification of a convolutive multiple-input-multiple-output (MIMO) system with No outputs and Ni inputs. While many methods have been proposed to blindly identify convolutive MIMO systems with No ges Ni (overdetermined), very scarce results exist for the case of (underdetermined), all of which refer to systems that either have some special structure or special and values. In this paper, we show that, as long as , independent of whether the system is overdetermined or underdetermined, we can always find the appropriate order of statistics that guarantees identifiability of the system response within trivial ambiguities. We also propose an algorithm to reach the solution, that consists of parallel factorization (PARAFAC) of a -way tensor containing th-order statistics of the system outputs, followed by an iterative scheme. For a certain order of statistics , we provide the description of the class of identifiable MIMO systems. We also show that this class can be expanded by applying PARAFAC decomposition to a pair of tensors instead of one tensor. The proposed approach constitutes a novel scheme for estimation of underdetermined systems, and improves over existing approaches for overdetermined systems.
Sponsorship	IEEE Signal Processing Society
Starting Page	111
Ending Page	124
Page Count	14
File Size	1160218
File Format	PDF
ISSN	1053587X
Volume Number	56
Issue Number	1
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2008-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	MIMO Tensile stress Higher order statistics Iterative algorithms Speech processing Multiaccess communication Digital magnetic recording Airborne radar Urban areas PARAFAC Blind multiple-input–multiple-output (MIMO) higher order statistics MIMO identification underdetermined MIMO Blind multiple-input-multiple-output (MIMO)
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering

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