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On blind identifiability of FIR-MIMO systems with cyclostationary inputs using second order statistics

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3 Author(s)
I. Bradaric ; Dept. of Electr. & Comput. Eng., Drexel Univ., Philadelphia, PA, USA ; A. P. Petropulu ; K. I. Diamantaras

We consider a general n×n multiple-input multiple-output (MIMO) system excited by unobservable inputs that are spatially independent, cyclostationary with unknown statistics. Such a MIMO scenario appears in many applications, such as multiuser communications and separation of competing speakers in speech processing. A special case of this problem, i.e., a 2×2 system case, was previously addressed in another work using frequency-domain correlations of the system output. In this paper, we provide a set of conditions under which a general n×n system is uniquely identifiable based on the second-order frequency-domain correlations of the system output. We provide a constructive proof for the uniqueness of the system solution, which could also serve as a basis for a practical algorithm for system identification.

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IEEE Transactions on Signal Processing  (Volume:51 ,  Issue: 2 )