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Linear time‐invariant/time‐varying equalization of MIMO channels
Author(s) -
El Asmi Sadok
Publication year - 2008
Publication title -
international journal of communication systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.344
H-Index - 49
eISSN - 1099-1131
pISSN - 1074-5351
DOI - 10.1002/dac.917
Subject(s) - mimo , computer science , algebraic number , lti system theory , equalizer , equalization (audio) , blind equalization , kalman filter , channel (broadcasting) , control theory (sociology) , mathematics , linear system , telecommunications , artificial intelligence , mathematical analysis , control (management)
In this paper, the problem of equalization of linear multi‐input multi‐output (MIMO) channels is addressed. Using an algebraic approach, we propose a unifying formalism for the linear time‐invariant/time‐varying channel equalization problem. A new definition called algebraic equalization is presented. This allows us to derive the necessary and sufficient condition on the existence of equalizer. We describe the received signals in terms of Kalman model. This then provides us with a test of channel equalization, which may be performed formally in terms of ranks of some related matrices. Copyright © 2007 John Wiley & Sons, Ltd.