TY - GEN
T1 - On L2-sensitivity of state-space digital filters under Gramian-preserving frequncy transformation
AU - Koshita, Shunsuke
AU - Abe, Masahide
AU - Kawamata, Masayuki
N1 - Copyright:
Copyright 2014 Elsevier B.V., All rights reserved.
PY - 2013
Y1 - 2013
N2 - This paper aims to reveal the relationship between the minimum L 2-sensitivity of state-space digital filters and the Gramian-preserving frequency transformation. To this end, we first give a prototype low-pass state-space filter in such a manner that its structure becomes the minimum L2-sensitivity structure. Then we apply the Gramian-preserving (LP-LP) frequency transformation with a tunable parameter to this prototype filter. In this way we obtain a low-pass state-space filter with tunable cutoff frequency from a prescribed prototype low-pass filter with minimum L2-sensitivity. For this tunable low-pass state-space filter, we evaluate the L2-sensitivity over the entire range of cutoff frequencies. The evaluation result shows that, although the minimality of the L2-sensitivity is not preserved under the frequency transformation, the L2-sensitivity of the tunable filter given in this way becomes very close to the minimum value for arbitrary cutoff frequencies.
AB - This paper aims to reveal the relationship between the minimum L 2-sensitivity of state-space digital filters and the Gramian-preserving frequency transformation. To this end, we first give a prototype low-pass state-space filter in such a manner that its structure becomes the minimum L2-sensitivity structure. Then we apply the Gramian-preserving (LP-LP) frequency transformation with a tunable parameter to this prototype filter. In this way we obtain a low-pass state-space filter with tunable cutoff frequency from a prescribed prototype low-pass filter with minimum L2-sensitivity. For this tunable low-pass state-space filter, we evaluate the L2-sensitivity over the entire range of cutoff frequencies. The evaluation result shows that, although the minimality of the L2-sensitivity is not preserved under the frequency transformation, the L2-sensitivity of the tunable filter given in this way becomes very close to the minimum value for arbitrary cutoff frequencies.
UR - http://www.scopus.com/inward/record.url?scp=84893327370&partnerID=8YFLogxK
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U2 - 10.1109/APSIPA.2013.6694188
DO - 10.1109/APSIPA.2013.6694188
M3 - Conference contribution
AN - SCOPUS:84893327370
SN - 9789869000604
T3 - 2013 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA 2013
BT - 2013 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA 2013
T2 - 2013 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA 2013
Y2 - 29 October 2013 through 1 November 2013
ER -