On the interpolation of discrete periodic data

Standard

On the interpolation of discrete periodic data. / Ber, M. G.; Malozemov, V. N.

In: Problemy Peredachi Informatsii, No. 4, 10.1992, p. 60-68.

Research output: Contribution to journal › Article › peer-review

Harvard

Ber, MG & Malozemov, VN 1992, 'On the interpolation of discrete periodic data', Problemy Peredachi Informatsii, no. 4, pp. 60-68.

APA

Ber, M. G., & Malozemov, V. N. (1992). On the interpolation of discrete periodic data. Problemy Peredachi Informatsii, (4), 60-68.

Vancouver

Ber MG, Malozemov VN. On the interpolation of discrete periodic data. Problemy Peredachi Informatsii. 1992 Oct;(4):60-68.

Author

Ber, M. G. ; Malozemov, V. N. / On the interpolation of discrete periodic data. In: Problemy Peredachi Informatsii. 1992 ; No. 4. pp. 60-68.

BibTeX

@article{391f319fe1334b0c8b2a4ac9b93a4a77,

title = "On the interpolation of discrete periodic data",

abstract = "The problem of restoration of discrete periodic data on small net via known values on large net is considered. The sum of squares of r-th degree finite differences serves as smoothing functional. It is required to minimize this functional. The explicit algorithm for the solution of the problem is proposed. The algorithm bases on discrete Fourier transform (DFT). The investigation of the solution is carried out as r tends to infinity. The connection with trigonometrical interpolation is established. The results can be used for interpolation of discrete-time signals and periodic spline functions of high degree.",

author = "Ber, {M. G.} and Malozemov, {V. N.}",

year = "1992",

month = oct,

language = "русский",

pages = "60--68",

journal = "ПРОБЛЕМЫ ПЕРЕДАЧИ ИНФОРМАЦИИ",

issn = "0555-2923",

publisher = "Издательство {"}Наука{"}",

number = "4",

}

RIS

TY - JOUR

T1 - On the interpolation of discrete periodic data

AU - Ber, M. G.

AU - Malozemov, V. N.

PY - 1992/10

Y1 - 1992/10

N2 - The problem of restoration of discrete periodic data on small net via known values on large net is considered. The sum of squares of r-th degree finite differences serves as smoothing functional. It is required to minimize this functional. The explicit algorithm for the solution of the problem is proposed. The algorithm bases on discrete Fourier transform (DFT). The investigation of the solution is carried out as r tends to infinity. The connection with trigonometrical interpolation is established. The results can be used for interpolation of discrete-time signals and periodic spline functions of high degree.

AB - The problem of restoration of discrete periodic data on small net via known values on large net is considered. The sum of squares of r-th degree finite differences serves as smoothing functional. It is required to minimize this functional. The explicit algorithm for the solution of the problem is proposed. The algorithm bases on discrete Fourier transform (DFT). The investigation of the solution is carried out as r tends to infinity. The connection with trigonometrical interpolation is established. The results can be used for interpolation of discrete-time signals and periodic spline functions of high degree.

UR - http://www.scopus.com/inward/record.url?scp=0026933480&partnerID=8YFLogxK

M3 - статья

AN - SCOPUS:0026933480

SP - 60

EP - 68

JO - ПРОБЛЕМЫ ПЕРЕДАЧИ ИНФОРМАЦИИ

JF - ПРОБЛЕМЫ ПЕРЕДАЧИ ИНФОРМАЦИИ

SN - 0555-2923

IS - 4

ER -

ID: 73933669