Compression of signals with regularization of Tichonov
Matematičeskoe modelirovanie, Tome 20 (2008) no. 4, pp. 8-26.

Voir la notice de l'article provenant de la source Math-Net.Ru

The article studies the regularization method used in the problems of the compression signals by means of the discrete orthogonal conversions. The regularization parameters for the various discrete orthogonal conversions are founded. The matrices for the spectral component selection are determined, the errors are evaluated. Estimations of errors of restoration of the compressed signal coded by means of orthogonal transformations with regularization and without regularization are received. From the given estimations follows, that the signal restored with application of the regularization method is closer to an initial signal rather than a signal restored without application of the regularization method.
@article{MM_2008_20_4_a1,
     author = {M. L. Kazaryan},
     title = {Compression of signals with regularization of {Tichonov}},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {8--26},
     publisher = {mathdoc},
     volume = {20},
     number = {4},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2008_20_4_a1/}
}
TY  - JOUR
AU  - M. L. Kazaryan
TI  - Compression of signals with regularization of Tichonov
JO  - Matematičeskoe modelirovanie
PY  - 2008
SP  - 8
EP  - 26
VL  - 20
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2008_20_4_a1/
LA  - ru
ID  - MM_2008_20_4_a1
ER  - 
%0 Journal Article
%A M. L. Kazaryan
%T Compression of signals with regularization of Tichonov
%J Matematičeskoe modelirovanie
%D 2008
%P 8-26
%V 20
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2008_20_4_a1/
%G ru
%F MM_2008_20_4_a1
M. L. Kazaryan. Compression of signals with regularization of Tichonov. Matematičeskoe modelirovanie, Tome 20 (2008) no. 4, pp. 8-26. http://geodesic.mathdoc.fr/item/MM_2008_20_4_a1/

[1] S. S. Agayan, S. B. Alaverdyan, “Razrabotka avtomatizirovannykh sistem tsifrovoi obrabotki mnogomernykh signalov (izobrazhenii)”, Sistemnye i matematicheskie voprosy sozdaniya avtomatizirovannykh nauchnykh issledovanii (ASNI) kollektivnogo polzovaniya, Erevan, 1984, 61–66

[2] N. Akhmed, K. R. Rao, Ortogonalnye preobrazovaniya pri obrabotke tsifrovykh signalov, Svyaz, M., 1980

[3] U. Prett, Tsifrovaya obrabotka izobrazhenii, Mir, M., 1982

[4] P. Uintts, “Kodirovanie izobrazheniya posredstvom preobrazovanii”, TIIER, 60 (1972), 69–83

[5] A. G. Tescher, “Kodirovanie izobrazhenii s preobrazovaniem”, Metody peredachi izobrazhenii. Sokraschenie izbytochnosti, ed. U. Prett, Radio i svyaz, M., 1983, 103–143

[6] A. N. Tikhonov, V. Ya. Arsenin, Metody resheniya nekorrektno postavlennykh zadach, Nauka, M., 1979 | MR

[7] V. K. Ivanov, “O lineinykh nekorrektnykh zadachakh”, Dokl. AN SSSR, 145:2 (1962), 270–272 | MR | Zbl

[8] A. N. Tikhonov, “O regulyarizatsii nekorrektno postavlennykh zadach”, Dokl. AN SSSR, 153:1 (1963), 49–52 | MR | Zbl

[9] A. N. Tikhonov, “Ob ustoichivykh metodakh summirovaniya ryadov Fure”, Dokl. AN SSSR, 156:2 (1964), 268–271 | Zbl

[10] M. M. Lavrentev, V. G. Romanov, S. P. Shishatskii, Nekorrektnye zadachi matematicheskoi fiziki i analiza, Nauka, M., 1980, 288 pp. | MR

[11] B. I. Golubov, A. V. Efimov, V. A. Skvortsov, Ryady i preobrazovaniya Uolsha, Nauka, M., 1987 | MR | Zbl

[12] S. S. Agayan, A. A. Petrosyan, Optimalnye metody zonnogo kodirovaniya posredstvom diskretnykh ortogonalnykh preobrazovanii, Erevan, 1989