Generalized Interpolatory Approximation of Multi-Dimensional Signals Having the Minimum Measure of Error
Summary :
Extended form of interpolatory approximation is presented for tne n-dimensional (n-D) signals whose generalized spectrums have weighted norms smaller than a given positive number. The presented approximation has the minimum measure of approximation error among all the linear and the nonlinear approximations using the same generalized sample values.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E75-A No.7 pp.794-805
- Publication Date
- 1992/07/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- Special Section PAPER (Special Section on Multidimensional Signal Processing)
- Category
- Multidimensional Signals, Systems and Filters
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Takuro KIDA, Hiroshi MOCHIZUKI, "Generalized Interpolatory Approximation of Multi-Dimensional Signals Having the Minimum Measure of Error" in IEICE TRANSACTIONS on Fundamentals,
vol. E75-A, no. 7, pp. 794-805, July 1992, doi: .
Abstract: Extended form of interpolatory approximation is presented for tne n-dimensional (n-D) signals whose generalized spectrums have weighted norms smaller than a given positive number. The presented approximation has the minimum measure of approximation error among all the linear and the nonlinear approximations using the same generalized sample values.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e75-a_7_794/_p
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@ARTICLE{e75-a_7_794,
author={Takuro KIDA, Hiroshi MOCHIZUKI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Generalized Interpolatory Approximation of Multi-Dimensional Signals Having the Minimum Measure of Error},
year={1992},
volume={E75-A},
number={7},
pages={794-805},
abstract={Extended form of interpolatory approximation is presented for tne n-dimensional (n-D) signals whose generalized spectrums have weighted norms smaller than a given positive number. The presented approximation has the minimum measure of approximation error among all the linear and the nonlinear approximations using the same generalized sample values.},
keywords={},
doi={},
ISSN={},
month={July},}
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TY - JOUR
TI - Generalized Interpolatory Approximation of Multi-Dimensional Signals Having the Minimum Measure of Error
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 794
EP - 805
AU - Takuro KIDA
AU - Hiroshi MOCHIZUKI
PY - 1992
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E75-A
IS - 7
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - July 1992
AB - Extended form of interpolatory approximation is presented for tne n-dimensional (n-D) signals whose generalized spectrums have weighted norms smaller than a given positive number. The presented approximation has the minimum measure of approximation error among all the linear and the nonlinear approximations using the same generalized sample values.
ER -
English
