TY - GEN
T1 - Realization of variable band-pass/band-stop IIR digital filters using gramian-preserving frequency transformation
AU - Koshita, Shunsuke
AU - Miyoshi, Keita
AU - Abe, Masahide
AU - Kawamata, Masayuki
PY - 2010/8/31
Y1 - 2010/8/31
N2 - This paper proposes variable band-pass/band-stop infinite impulse response (IIR) state-space digital filters with high tuning accuracy and reduced computational complexity. We derive our proposed variable filters from the Gramian-preserving frequency transformation based on the normalized lattice structure of second-order all-pass functions. This approach gives a simple algorithm for control of the frequency characteristics of our proposed variable filters. In addition, we show that our proposed variable filters have smaller number of additions and multiplications than general state-space filters. Furthermore, it is shown that our proposed variable filters have the same controllability/observability Gramians as those of the prototype filters, regardless of the value of the tuning parameter. This property shows the high accuracy of our proposed filters with respect to quantization effects for all tunable frequency characteristics.
AB - This paper proposes variable band-pass/band-stop infinite impulse response (IIR) state-space digital filters with high tuning accuracy and reduced computational complexity. We derive our proposed variable filters from the Gramian-preserving frequency transformation based on the normalized lattice structure of second-order all-pass functions. This approach gives a simple algorithm for control of the frequency characteristics of our proposed variable filters. In addition, we show that our proposed variable filters have smaller number of additions and multiplications than general state-space filters. Furthermore, it is shown that our proposed variable filters have the same controllability/observability Gramians as those of the prototype filters, regardless of the value of the tuning parameter. This property shows the high accuracy of our proposed filters with respect to quantization effects for all tunable frequency characteristics.
UR - http://www.scopus.com/inward/record.url?scp=77955986038&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=77955986038&partnerID=8YFLogxK
U2 - 10.1109/ISCAS.2010.5537047
DO - 10.1109/ISCAS.2010.5537047
M3 - Conference contribution
AN - SCOPUS:77955986038
SN - 9781424453085
T3 - ISCAS 2010 - 2010 IEEE International Symposium on Circuits and Systems: Nano-Bio Circuit Fabrics and Systems
SP - 2698
EP - 2701
BT - ISCAS 2010 - 2010 IEEE International Symposium on Circuits and Systems
T2 - 2010 IEEE International Symposium on Circuits and Systems: Nano-Bio Circuit Fabrics and Systems, ISCAS 2010
Y2 - 30 May 2010 through 2 June 2010
ER -