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PARAFAC-based blind estimation of possibly underdetermined convolutive MIMO systems
Please use this identifier to cite or link to this item:
http://hdl.handle.net/1860/2670
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| Title: | PARAFAC-based blind estimation of possibly underdetermined convolutive MIMO systems |
| Authors: | Yu, Yuanning
Petropulu, Athina P. |
| Keywords: | Blind Multiple-Input–Multiple-Output (MIMO)
Higher Order Statistics
MIMO Identification
Underdetermined MIMO
PARAFAC |
| Issue Date: | Jan-2008 |
| Publisher: | Institute of Electrical and Electronics Engineers (IEEE) |
| Citation: | IEEE Transactions on Signal Processing, 56(1):pp. 111 - 124. |
| 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 Nq>/=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 No and Ni values. In
this paper, we show that, as long as min(No,Ni)>/= 2, 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 K-way tensor containing
Kth-order statistics of the system outputs, followed by an iterative
scheme. For a certain order of statistics K , 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. |
| URI: | http://dx.doi.org/10.1109/TSP.2007.901148
http://hdl.handle.net/1860/2670 |
| Appears in Collections: | Faculty Research and Publications (ECE)
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