TY - JOUR
T1 - On the Absence of Limit Cycles in a Class of State-Space Digital Filters Which Contains Minimum Noise Realizations
AU - Kawamata, Masayuki
AU - Higuchi, Tatsuo
PY - 1984/8
Y1 - 1984/8
N2 - This paper presents a theorem for the absence of limit cycles in a class of state-space digital filters. Such a class contains minimum noise realizations of any order as a special case, that is, it is proved that the transition matrix A of minimum noise realizations of any order satisfies I − At A≽0, and thus the realizations are free of limit cycles.
AB - This paper presents a theorem for the absence of limit cycles in a class of state-space digital filters. Such a class contains minimum noise realizations of any order as a special case, that is, it is proved that the transition matrix A of minimum noise realizations of any order satisfies I − At A≽0, and thus the realizations are free of limit cycles.
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U2 - 10.1109/TASSP.1984.1164384
DO - 10.1109/TASSP.1984.1164384
M3 - Article
AN - SCOPUS:0021473555
VL - 32
SP - 928
EP - 930
JO - IEEE Transactions on Acoustics, Speech, and Signal Processing
JF - IEEE Transactions on Acoustics, Speech, and Signal Processing
SN - 1053-587X
IS - 4
ER -