TY - JOUR
T1 - On blind identifiability of FIR-MIMO systems with cyclostationary inputs using second order statistics
AU - Bradaric, Ivan
AU - Petropulu, Athina P.
AU - Diamantaras, Konstantinos I.
N1 - Funding Information:
Manuscript received November 6, 2001; revised October 2, 2002. This work was supported by the National Science Foundation under Grant MIP-9553227 and the Office of Naval Research under Grant N00014-20-1-0137. The associate editor coordinating the review of this paper and approving it for publication was Dr. Chong-Yung Chi.
PY - 2003/2
Y1 - 2003/2
N2 - 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 recently 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.
AB - 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 recently 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.
KW - Blind system identification
KW - Cyclostationary inputs
KW - Second-order statistics
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U2 - 10.1109/TSP.2002.806998
DO - 10.1109/TSP.2002.806998
M3 - Article
AN - SCOPUS:0037304848
SN - 1053-587X
VL - 51
SP - 434
EP - 441
JO - IEEE Transactions on Signal Processing
JF - IEEE Transactions on Signal Processing
IS - 2
ER -