Approximate determination of the impulse responses of a system of telegraph equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 9, pp. 1691-1719
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Systems of telegraph equations govern the voltages and currents in closely spaced long parallel wires (coupled or multiconductor transmission lines). The impulse response is defined as the waveforms of the voltages and currents produced at the output on applying the deltalike signal at the input. It is proved that the impulse response consists of two terms: a sum of delta functions and a usual function $N$. An explicit formula is given for the first term, and an approximate determination method is proposed for calculating $N$.
@article{ZVMMF_2005_45_9_a13,
author = {V. G. Kurbatov},
title = {Approximate determination of the impulse responses of a system of telegraph equations},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1691--1719},
publisher = {mathdoc},
volume = {45},
number = {9},
year = {2005},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_9_a13/}
}
TY - JOUR AU - V. G. Kurbatov TI - Approximate determination of the impulse responses of a system of telegraph equations JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2005 SP - 1691 EP - 1719 VL - 45 IS - 9 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_9_a13/ LA - ru ID - ZVMMF_2005_45_9_a13 ER -
%0 Journal Article %A V. G. Kurbatov %T Approximate determination of the impulse responses of a system of telegraph equations %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2005 %P 1691-1719 %V 45 %N 9 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_9_a13/ %G ru %F ZVMMF_2005_45_9_a13
V. G. Kurbatov. Approximate determination of the impulse responses of a system of telegraph equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 9, pp. 1691-1719. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_9_a13/