System Response to a Single Non-zero Initial Condition in a Lumped-Element LC Ladder
Summary :
It is shown that an infinite lumped-element LC- ladder network generates all Bessel functions Jn(t) of the first kind as a response to a single non-zero initial condition. Closed-form expressions for the voltage responses in the time domain are presented if the LC- ladder is driven by a step-like input voltage.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E97-A No.12 pp.2693-2696
- Publication Date
- 2014/12/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E97.A.2693
- Type of Manuscript
- LETTER
- Category
- General Fundamentals and Boundaries
Authors
Clemens M. ZIERHOFER
University of Innsbruck
Keyword
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Clemens M. ZIERHOFER, "System Response to a Single Non-zero Initial Condition in a Lumped-Element LC Ladder" in IEICE TRANSACTIONS on Fundamentals,
vol. E97-A, no. 12, pp. 2693-2696, December 2014, doi: 10.1587/transfun.E97.A.2693.
Abstract: It is shown that an infinite lumped-element LC- ladder network generates all Bessel functions Jn(t) of the first kind as a response to a single non-zero initial condition. Closed-form expressions for the voltage responses in the time domain are presented if the LC- ladder is driven by a step-like input voltage.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E97.A.2693/_p
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@ARTICLE{e97-a_12_2693,
author={Clemens M. ZIERHOFER, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={System Response to a Single Non-zero Initial Condition in a Lumped-Element LC Ladder},
year={2014},
volume={E97-A},
number={12},
pages={2693-2696},
abstract={It is shown that an infinite lumped-element LC- ladder network generates all Bessel functions Jn(t) of the first kind as a response to a single non-zero initial condition. Closed-form expressions for the voltage responses in the time domain are presented if the LC- ladder is driven by a step-like input voltage.},
keywords={},
doi={10.1587/transfun.E97.A.2693},
ISSN={1745-1337},
month={December},}
Copy
TY - JOUR
TI - System Response to a Single Non-zero Initial Condition in a Lumped-Element LC Ladder
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2693
EP - 2696
AU - Clemens M. ZIERHOFER
PY - 2014
DO - 10.1587/transfun.E97.A.2693
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E97-A
IS - 12
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - December 2014
AB - It is shown that an infinite lumped-element LC- ladder network generates all Bessel functions Jn(t) of the first kind as a response to a single non-zero initial condition. Closed-form expressions for the voltage responses in the time domain are presented if the LC- ladder is driven by a step-like input voltage.
ER -
English
