Blind identification of FIR MIMO channels by decorrelating subchannels

Hua, Yingbo, An, Senjian and Xiang, Yong 2003, Blind identification of FIR MIMO channels by decorrelating subchannels, IEEE transactions on signal processing, vol. 51, no. 5, pp. 1143-1155, doi: 10.1109/TSP.2003.810295.

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Title Blind identification of FIR MIMO channels by decorrelating subchannels
Author(s) Hua, Yingbo
An, Senjian
Xiang, YongORCID iD for Xiang, Yong
Journal name IEEE transactions on signal processing
Volume number 51
Issue number 5
Start page 1143
End page 1155
Publisher Institute of Electrical and Electronics Engineers, Inc.
Place of publication New York, N.Y.
Publication date 2003-05
ISSN 1053-587X
Summary We study blind identification and equalization of finite impulse response (FIR) and multi-input and multi-output (MIMO) channels driven by colored signals. We first show a sufficient condition for an FIR MIMO channel to be identifiable up to a scaling and permutation using the second-order statistics of the channel output. This condition is that the channel matrix is irreducible (but not necessarily column-reduced), and the input signals are mutually uncorrelated and of distinct power spectra. We also show that this condition is necessary in the sense that no single part of the condition can be further weakened without another part being strengthened. While the above condition is a strong result that sets a fundamental limit of blind identification, there does not yet exist a working algorithm under that condition. In the second part of this paper, we show that a method called blind identification via decorrelating subchannels (BIDS) can uniquely identify an FIR MIMO channel if a) the channel matrix is nonsingular (almost everywhere) and column-wise coprime and b) the input signals are mutually uncorrelated and of sufficiently diverse power spectra. The BIDS method requires a weaker condition on the channel matrix than that required by most existing methods for the same problem.
Language eng
DOI 10.1109/TSP.2003.810295
Field of Research 090609 Signal Processing
HERDC Research category C1 Refereed article in a scholarly journal
Copyright notice ©2003, IEEE
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