Generalized Optimum Interpolatory Estimation of Multi-Dimensional Orthogonal Expansions with Stochastic Coefficients
Summary :
Extended interpolatory approximations are discussed for some classes of n-dimensional stochastic signals expressed as the orthogonal expansions with respect to a given set of orthonormal functions. We assume that the norm of the weighted mutual correlation function of the signal is smaller than a given positive number. The presented approximation has the minimum measure of approximation error among all the linear and nonlinear statistical approximations using the similar measure of error and the same generalized moments of these signals.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E75-A No.12 pp.1793-1804
- Publication Date
- 1992/12/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- PAPER
- Category
- Information Theory and Coding Theory
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Takuro KIDA, Somsak SA-NGUANKOTCHAKORN, "Generalized Optimum Interpolatory Estimation of Multi-Dimensional Orthogonal Expansions with Stochastic Coefficients" in IEICE TRANSACTIONS on Fundamentals,
vol. E75-A, no. 12, pp. 1793-1804, December 1992, doi: .
Abstract: Extended interpolatory approximations are discussed for some classes of n-dimensional stochastic signals expressed as the orthogonal expansions with respect to a given set of orthonormal functions. We assume that the norm of the weighted mutual correlation function of the signal is smaller than a given positive number. The presented approximation has the minimum measure of approximation error among all the linear and nonlinear statistical approximations using the similar measure of error and the same generalized moments of these signals.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e75-a_12_1793/_p
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@ARTICLE{e75-a_12_1793,
author={Takuro KIDA, Somsak SA-NGUANKOTCHAKORN, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Generalized Optimum Interpolatory Estimation of Multi-Dimensional Orthogonal Expansions with Stochastic Coefficients},
year={1992},
volume={E75-A},
number={12},
pages={1793-1804},
abstract={Extended interpolatory approximations are discussed for some classes of n-dimensional stochastic signals expressed as the orthogonal expansions with respect to a given set of orthonormal functions. We assume that the norm of the weighted mutual correlation function of the signal is smaller than a given positive number. The presented approximation has the minimum measure of approximation error among all the linear and nonlinear statistical approximations using the similar measure of error and the same generalized moments of these signals.},
keywords={},
doi={},
ISSN={},
month={December},}
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TY - JOUR
TI - Generalized Optimum Interpolatory Estimation of Multi-Dimensional Orthogonal Expansions with Stochastic Coefficients
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1793
EP - 1804
AU - Takuro KIDA
AU - Somsak SA-NGUANKOTCHAKORN
PY - 1992
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E75-A
IS - 12
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - December 1992
AB - Extended interpolatory approximations are discussed for some classes of n-dimensional stochastic signals expressed as the orthogonal expansions with respect to a given set of orthonormal functions. We assume that the norm of the weighted mutual correlation function of the signal is smaller than a given positive number. The presented approximation has the minimum measure of approximation error among all the linear and nonlinear statistical approximations using the similar measure of error and the same generalized moments of these signals.
ER -
English
