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Blind identification of FIR MIMO channels by decorrelating subchannels

journal contribution
posted on 2003-05-01, 00:00 authored by Y Hua, S An, Yong XiangYong Xiang
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.

History

Journal

IEEE transactions on signal processing

Volume

51

Issue

5

Pagination

1143 - 1155

Publisher

Institute of Electrical and Electronics Engineers, Inc.

Location

New York, N.Y.

ISSN

1053-587X

eISSN

1941-0476

Language

eng

Publication classification

C1 Refereed article in a scholarly journal

Copyright notice

2003, IEEE

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