A Leapfrog Synthesis of Complex Analog Filters

Cosy MUTO; Noriyoshi KAMBAYASHI

A Leapfrog Synthesis of Complex Analog Filters

Cosy MUTO, Noriyoshi KAMBAYASHI

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Complex filters are used to synthesize real filters in digital signal processing, but few in analog one. In this paper, we propose a leapfrog synthesis of complex analog filters. By shifting frequency response of an LCR network along the ω-axis, we have a complex filter with imaginary resistances, which is called an "LCRRⁱ filter." The complex resonator is then used to simulate series- or parallel-arms of the LCRRⁱ filter. We analyze nonideal properties of the complex resonator due to finite gain-bandwidth product of operational amplifiers and propose a compensation method to put a pole on correct location. Experimental results show good performance of the proposed method.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E76-A No.2 pp.210-215

Publication Date: 1993/02/25

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Type of Manuscript: PAPER

Category: Analog Circuits and Signal Processing

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Cosy MUTO, Noriyoshi KAMBAYASHI, "A Leapfrog Synthesis of Complex Analog Filters" in IEICE TRANSACTIONS on Fundamentals, vol. E76-A, no. 2, pp. 210-215, February 1993, doi: .
Abstract: Complex filters are used to synthesize real filters in digital signal processing, but few in analog one. In this paper, we propose a leapfrog synthesis of complex analog filters. By shifting frequency response of an LCR network along the ω-axis, we have a complex filter with imaginary resistances, which is called an "LCRRⁱ filter." The complex resonator is then used to simulate series- or parallel-arms of the LCRRⁱ filter. We analyze nonideal properties of the complex resonator due to finite gain-bandwidth product of operational amplifiers and propose a compensation method to put a pole on correct location. Experimental results show good performance of the proposed method.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e76-a_2_210/_p

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@ARTICLE{e76-a_2_210,
author={Cosy MUTO, Noriyoshi KAMBAYASHI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Leapfrog Synthesis of Complex Analog Filters},
year={1993},
volume={E76-A},
number={2},
pages={210-215},
abstract={Complex filters are used to synthesize real filters in digital signal processing, but few in analog one. In this paper, we propose a leapfrog synthesis of complex analog filters. By shifting frequency response of an LCR network along the ω-axis, we have a complex filter with imaginary resistances, which is called an "LCRRⁱ filter." The complex resonator is then used to simulate series- or parallel-arms of the LCRRⁱ filter. We analyze nonideal properties of the complex resonator due to finite gain-bandwidth product of operational amplifiers and propose a compensation method to put a pole on correct location. Experimental results show good performance of the proposed method.},
keywords={},
doi={},
ISSN={},
month={February},}

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TY - JOUR
TI - A Leapfrog Synthesis of Complex Analog Filters
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 210
EP - 215
AU - Cosy MUTO
AU - Noriyoshi KAMBAYASHI
PY - 1993
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E76-A
IS - 2
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - February 1993
AB - Complex filters are used to synthesize real filters in digital signal processing, but few in analog one. In this paper, we propose a leapfrog synthesis of complex analog filters. By shifting frequency response of an LCR network along the ω-axis, we have a complex filter with imaginary resistances, which is called an "LCRRⁱ filter." The complex resonator is then used to simulate series- or parallel-arms of the LCRRⁱ filter. We analyze nonideal properties of the complex resonator due to finite gain-bandwidth product of operational amplifiers and propose a compensation method to put a pole on correct location. Experimental results show good performance of the proposed method.
ER -