TY - GEN
T1 - Gramian-preserving frequency transformation for state-space digital filters
AU - Koshita, Shunsuke
AU - Abe, Masahide
AU - Kawamata, Masayuki
PY - 2006
Y1 - 2006
N2 - This paper proposes a new expression of frequency transformation for state-space digital filters. The proposed frequency transformation has the property of preserving the controllability Gramian and the observability Gramian of prototype state-space digital filters. This property shows that the proposed frequency transformation preserves the useful realizations of prototype digital filters such as minimum roundoff noise realizations, balanced realizations and limit cycle free realizations. Moreover, it is proved that the proposed frequency transformation retains an important inequality property with respect to the norm of the state transition matrix of limit cycle free digital filters. These results are derived from a modified formulation of Mullis and Roberts' frequency transformation and balanced realizations of allpass filters.
AB - This paper proposes a new expression of frequency transformation for state-space digital filters. The proposed frequency transformation has the property of preserving the controllability Gramian and the observability Gramian of prototype state-space digital filters. This property shows that the proposed frequency transformation preserves the useful realizations of prototype digital filters such as minimum roundoff noise realizations, balanced realizations and limit cycle free realizations. Moreover, it is proved that the proposed frequency transformation retains an important inequality property with respect to the norm of the state transition matrix of limit cycle free digital filters. These results are derived from a modified formulation of Mullis and Roberts' frequency transformation and balanced realizations of allpass filters.
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U2 - 10.1109/APCCAS.2006.342382
DO - 10.1109/APCCAS.2006.342382
M3 - Conference contribution
AN - SCOPUS:50249134845
SN - 1424403871
SN - 9781424403875
T3 - IEEE Asia-Pacific Conference on Circuits and Systems, Proceedings, APCCAS
SP - 1220
EP - 1223
BT - APCCAS 2006 - 2006 IEEE Asia Pacific Conference on Circuits and Systems
T2 - APCCAS 2006 - 2006 IEEE Asia Pacific Conference on Circuits and Systems
Y2 - 4 December 2006 through 6 December 2006
ER -