An Active <I>RC</I> Filter Based on Simulation of <I>LCR</I> Filters with a Reduced Number of Operational Amplifiers

Yukio ISHIBASHI

An Active RC Filter Based on Simulation of LCR Filters with a Reduced Number of Operational Amplifiers

Yukio ISHIBASHI

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It is well known that the RC active filter simulating the conventional LC ladder filter has a lower sensitivity than the cascade RC active filter. A number of synthesis methods for this kind of filters have recently been proposed. A new class of simulation-type RC active filter with a reduced number of operational amplifiers is proposed in this paper. First, as a prototype filter to be simulated, an LCR filter is proposed, which is obtained by connecting resistors in series with capacitors in the conventional LC filter. As this type of filter has zeros on the negative real axis of s-plane, the conventional transfer function can not be used. Then, the transfer function for this type of filter is derived. The synthesis method of an LCR ladder filter with lossy capacitors is described. The relations between the voltages and currents of the above-mentioned LCR filter are derived, and circuits for realizing these relations and method for synthesizing an odd-order filter are shown. Finally, fifth-order low-pass filter is designed and it is shown that the measured response is in a good agreement with the theoretical value. Futhermore, the element sensitivity is estimated by a computer and it is shown that the sensitivity of the proposed filter is slightly higher than that of the conventional leapfrog filter. The number of required operational amplifiers becomes lower than half that of the conventional leapfrog realization.

Publication: IEICE TRANSACTIONS on transactions Vol.E72-E No.12 pp.1417-1424

Publication Date: 1989/12/25

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Type of Manuscript: PAPER

Category: Analog Signal Processing

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Yukio ISHIBASHI

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Yukio ISHIBASHI, "An Active RC Filter Based on Simulation of LCR Filters with a Reduced Number of Operational Amplifiers" in IEICE TRANSACTIONS on transactions, vol. E72-E, no. 12, pp. 1417-1424, December 1989, doi: .
Abstract: It is well known that the RC active filter simulating the conventional LC ladder filter has a lower sensitivity than the cascade RC active filter. A number of synthesis methods for this kind of filters have recently been proposed. A new class of simulation-type RC active filter with a reduced number of operational amplifiers is proposed in this paper. First, as a prototype filter to be simulated, an LCR filter is proposed, which is obtained by connecting resistors in series with capacitors in the conventional LC filter. As this type of filter has zeros on the negative real axis of s-plane, the conventional transfer function can not be used. Then, the transfer function for this type of filter is derived. The synthesis method of an LCR ladder filter with lossy capacitors is described. The relations between the voltages and currents of the above-mentioned LCR filter are derived, and circuits for realizing these relations and method for synthesizing an odd-order filter are shown. Finally, fifth-order low-pass filter is designed and it is shown that the measured response is in a good agreement with the theoretical value. Futhermore, the element sensitivity is estimated by a computer and it is shown that the sensitivity of the proposed filter is slightly higher than that of the conventional leapfrog filter. The number of required operational amplifiers becomes lower than half that of the conventional leapfrog realization.
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e72-e_12_1417/_p

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@ARTICLE{e72-e_12_1417,
author={Yukio ISHIBASHI, },
journal={IEICE TRANSACTIONS on transactions},
title={An Active RC Filter Based on Simulation of LCR Filters with a Reduced Number of Operational Amplifiers},
year={1989},
volume={E72-E},
number={12},
pages={1417-1424},
abstract={It is well known that the RC active filter simulating the conventional LC ladder filter has a lower sensitivity than the cascade RC active filter. A number of synthesis methods for this kind of filters have recently been proposed. A new class of simulation-type RC active filter with a reduced number of operational amplifiers is proposed in this paper. First, as a prototype filter to be simulated, an LCR filter is proposed, which is obtained by connecting resistors in series with capacitors in the conventional LC filter. As this type of filter has zeros on the negative real axis of s-plane, the conventional transfer function can not be used. Then, the transfer function for this type of filter is derived. The synthesis method of an LCR ladder filter with lossy capacitors is described. The relations between the voltages and currents of the above-mentioned LCR filter are derived, and circuits for realizing these relations and method for synthesizing an odd-order filter are shown. Finally, fifth-order low-pass filter is designed and it is shown that the measured response is in a good agreement with the theoretical value. Futhermore, the element sensitivity is estimated by a computer and it is shown that the sensitivity of the proposed filter is slightly higher than that of the conventional leapfrog filter. The number of required operational amplifiers becomes lower than half that of the conventional leapfrog realization.},
keywords={},
doi={},
ISSN={},
month={December},}

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TY - JOUR
TI - An Active RC Filter Based on Simulation of LCR Filters with a Reduced Number of Operational Amplifiers
T2 - IEICE TRANSACTIONS on transactions
SP - 1417
EP - 1424
AU - Yukio ISHIBASHI
PY - 1989
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E72-E
IS - 12
JA - IEICE TRANSACTIONS on transactions
Y1 - December 1989
AB - It is well known that the RC active filter simulating the conventional LC ladder filter has a lower sensitivity than the cascade RC active filter. A number of synthesis methods for this kind of filters have recently been proposed. A new class of simulation-type RC active filter with a reduced number of operational amplifiers is proposed in this paper. First, as a prototype filter to be simulated, an LCR filter is proposed, which is obtained by connecting resistors in series with capacitors in the conventional LC filter. As this type of filter has zeros on the negative real axis of s-plane, the conventional transfer function can not be used. Then, the transfer function for this type of filter is derived. The synthesis method of an LCR ladder filter with lossy capacitors is described. The relations between the voltages and currents of the above-mentioned LCR filter are derived, and circuits for realizing these relations and method for synthesizing an odd-order filter are shown. Finally, fifth-order low-pass filter is designed and it is shown that the measured response is in a good agreement with the theoretical value. Futhermore, the element sensitivity is estimated by a computer and it is shown that the sensitivity of the proposed filter is slightly higher than that of the conventional leapfrog filter. The number of required operational amplifiers becomes lower than half that of the conventional leapfrog realization.
ER -