Geodesic
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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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 $N$. 
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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/

[1] Gloriozov E. L., Ssorin V. G., Sypchuk P. P., Vvedenie v avtomatizatsiyu skhemotekhnicheskogo proektirovaniya, Sov. radio, M., 1976

[2] Ilin V. P., Mashinnoe proektirovanie elektronnykh skhem, Energiya, M., 1972

[3] Vlach J., Singhal K., Computer methods for circuit analysis and design, Van Nostrand Reinhold, New York, 1983; 1994

[4] Tikhonov A. N., Samarskii A. A., Uravneniya matematicheskoi fiziki, Nauka, M., 1972 | MR

[5] Odabasioglu A., Celik M., Pillegi L. T., “PRIMA: Passive reduced-order interconnect macromodeling algorithm”, IEEE Trans. Computer-Aided Design, 17:8 (1998), 645–654 | DOI

[6] Yu Q., Wang J. M., Kuh E. S., “Passive model order reduction algorithm based on Chebyshev expansion of impulse response of interconnect network”, IEEE Trans. on Circuits and Systems I, 46:1 (1999), 140–160 | DOI | MR | Zbl

[7] Dounavis A., Xin Li, Nakhla M. S., Achar R., “Passive closed-form transmission-line model for general purpose circuit simulators”, IEEE Trans. on Microwave Theory and Techniques, 47:12 (1999), 2450–2459 | DOI

[8] Godunov S. K., Ryabenkii B. C., Chislennye metody, Nauka, M., 1977

[9] Kurbatov V. G., Functional differential operators and equations, Kluwer Acad. Publ., Dordrecht–Boston–London, 1999 | MR | Zbl

[10] Krylov V. I., Shulgina A. T., Spravochnaya kniga po chislennomu integrirovaniyu, Nauka, M., 1966 | MR

[11] Kato T., Teoriya vozmuschenii lineinykh operatorov, Mir, M., 1972 | MR | Zbl

[12] Gantmakher F. R., Teoriya matrits, Nauka, M., 1988 | MR | Zbl

[13] Glazman I. M., Lyubich Yu. I., Konechnomernyi lineinyi analiz, Nauka, M., 1969 | MR | Zbl

[14] Baskakov A. G., Chernyshev K. I., “Spektralnyi analiz lineinykh otnoshenii i vyrozhdennye polugruppy operatorov”, Matem. sb., 193:11 (2002), 4–42 | MR

[15] Markushevich A. I., Teoriya analiticheskikh funktsii, v. 2, Nauka, M., 1968 | Zbl

[16] Evgrafov M. A., Analiticheskie funktsii, Nauka, M., 1968 | MR | Zbl

[17] Lavrentev M. A., Shabat B. V., Metody teorii funktsii kompleksnogo peremennogo, Nauka, M., 1965 | MR

[18] Kurosh A. G., Kurs vysshei algebry, Nauka, M., 1968 | Zbl

[19] Prasolov V. V., Mnogochleny, MTsNMO, M., 2001

[20] Gurvits A., Kurant R., Teoriya funktsii, Nauka, M., 1968 | MR

[21] Shilov G. E., Matematicheskii analiz. Konechnomernye lineinye prostranstva, Nauka, M., 1969 | MR

[22] Rudin U., Funktsionalnyi analiz, Mir, M., 1975 | MR

[23] Vladimirov V. S., Obobschennye funktsii, Nauka, M., 1979 | MR

[24] Stein I., Veis G., Vvedenie v garmonicheskii analiz na evklidovykh prostranstvakh, Mir, M., 1974 | Zbl

[25] Balabanyan N., Sintez elektricheskikh tsepei, Gosenergoizdat, M.–L., 1961

[26] Seshu S., Rid M. B., Lineinye grafy i elektricheskie tsepi, Vysshaya shkola, M., 1971

[27] Popov V. P., Osnovy teorii tsepei, Vysshaya shkola, M., 1998

[28] Uolsh Dzh. L., Interpolyatsiya i approksimatsiya ratsionalnymi funktsiyami v kompleksnoi oblasti, Izd-vo inostr. lit., M., 1961 | MR

[29] Beiker Dzh., Greivs-Morris P., Approksimatsii Pade, Mir, M., 1986 | MR

[30] Gofman K., Banakhovy prostranstva analiticheskikh funktsii, Izd-vo inostr. lit., M., 1963