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@article{MM_2006_18_11_a0, author = {Ya. E. Romm and S. A. Firsova}, title = {The parallel circuit of fourier discrete and fast transformations on the basis of the base elements polynomial representation}, journal = {Matemati\v{c}eskoe modelirovanie}, pages = {3--13}, publisher = {mathdoc}, volume = {18}, number = {11}, year = {2006}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MM_2006_18_11_a0/} }
TY - JOUR AU - Ya. E. Romm AU - S. A. Firsova TI - The parallel circuit of fourier discrete and fast transformations on the basis of the base elements polynomial representation JO - Matematičeskoe modelirovanie PY - 2006 SP - 3 EP - 13 VL - 18 IS - 11 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MM_2006_18_11_a0/ LA - ru ID - MM_2006_18_11_a0 ER -
%0 Journal Article %A Ya. E. Romm %A S. A. Firsova %T The parallel circuit of fourier discrete and fast transformations on the basis of the base elements polynomial representation %J Matematičeskoe modelirovanie %D 2006 %P 3-13 %V 18 %N 11 %I mathdoc %U http://geodesic.mathdoc.fr/item/MM_2006_18_11_a0/ %G ru %F MM_2006_18_11_a0
Ya. E. Romm; S. A. Firsova. The parallel circuit of fourier discrete and fast transformations on the basis of the base elements polynomial representation. Matematičeskoe modelirovanie, Tome 18 (2006) no. 11, pp. 3-13. http://geodesic.mathdoc.fr/item/MM_2006_18_11_a0/
[1] Lyuk Yu., Spetsialnye matematicheskie funktsii i ikh approksimatsii, Mir, M., 1980
[2] Berezin I. S., Zhidkov N. G., Metody vychislenii, T. 1, Nauka, M., 1970
[3] Romm Ya. E., “Parallelnye iteratsionnye skhemy lineinoi algebry s prilozheniem k analizu ustoichivosti reshenii sistem lineinykh differentsialnykh uravnenii”, Kibernetika i sistemnyi analiz, 2004, no. 4, 119–142 | MR | Zbl
[4] Stone H. S., “Problems of parallel computation”, Complexity of Sequent. Paral Numer. Algor, ed. T. F. Traub, Acad. Press, NY, 1973, 1–16
[5] Faddeeva V. N., Faddeev D. K., “Parallelnye vychisleniya v lineinoi algebre”, Kibernetika, 1977, no. 6, 28–40 | MR | Zbl
[6] Solodovnikov V. I., “Verkhnie otsenki slozhnosti resheniya sistem lineinykh uravnenii”, Teoriya slozhnosti vychislenii. I, Zapiski nauchnykh seminarov LOMI, 118, L., 1982, 159–187 | MR | Zbl
[7] Kappelini V., Konstantinidis A. Dzh., Emiliani P., Tsifrovye filtry i ikh primenenie, Energoatomizdat, M., 1983
[8] Leus V. A., “O vremennoi slozhnosti parallelnoi realizatsii chislennogo preobrazovaniya Fure”, Matem. modelirovanie, 7:10 (1995), 99–110 | MR | Zbl
[9] Cooley J. W., Tukey J. W., Math. Comp., 19 (1965), 297–301 | DOI | MR | Zbl
[10] Rodrig G. (red.), Parallelnye vychisleniya, Nauka, M., 1986 | MR
[11] Oppengeim A. V., Shafer R. V., Tsifrovaya obrabotka signalov, ed. S. Ya. Shats, Svyaz, M., 1979 | Zbl
[12] Turulin I. I. Pod obschei red. L.K. Samoilova, Raschet i primenenie bystrodeistvuyuschikh tsifrovykh rekursivnykh filtrov s konechnoi impulsnoi kharakteristikoi: Monografiya, Izd-vo TRTU, Taganrog, 1999
[13] Petrovskii A. A., Kachinskii M. V., Shkredov S. A., “Formalizatsiya opisaniya i sinteza protsessorov DPF mnogomernykh signalov”, Avtomat. i vychisl. tekhn., 2002, no. 3, 48–56
[14] Klimova O. V., “Kompleksnyi teoretiko-gruppovoi podkhod k postroeniyu sovremennykh algoritmov DPF i svertki. Novye informatsionnye tekhnologii v issledovanii diskretnykh struktur”, Doklady 3 Vseross. konferentsii (Tomsk, 12–14 sentyabrya, 2000), Izd-vo TNTs SO RAN, Tomsk, 27–33
[15] Firsova S. A., Algoritmy optimizatsii vremennoi slozhnosti kusochno-polinomialnoi approksimatsii funktsii v primenenii k bystromu preobrazovaniyu Fure na osnove parallelnogo vychisleniya elementov bazisa, avtoreferat dissertatsii na soiskanie uchenoi stepeni kand. tekhn. nauk, TRTU, Taganrog, 2004
[16] Zalmanzon L. A., Preobrazovanie Fure, Uolsha, Khaara i ikh primenenie v upravlenii, svyazi i drugikh oblastyakh, Nauka, M., 1989 | MR | Zbl