平移不变空间上的多通道广义平均采样与重构

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2025-06-25 DOI:10.1016/j.nonrwa.2025.104444

S. Yugesh , R.N. Mohapatra

引用次数: 0

摘要

在平移不变空间V（φ）中，利用帧发生器φ∈L2(R)分析了多通道广义平均采样。给出了保证均匀采样点下多通道广义平均采样展开的基本和综合准则。本文还分析了该问题的非均匀抽样版本。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Multi-channel generalized average sampling and reconstruction over shift invariant spaces

A multichannel generalized average sampling is analyzed in a shift invariant space

V (φ)

with frame generator

φ \in L^{2} (R) .

We present the essential and comprehensive criteria that guarantee that multi-channel generalized average sampling expansion for uniform sampling points. A nonuniform sampling version of the problem is also analyzed.

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来源期刊

Nonlinear Analysis-Real World Applications 数学-应用数学

CiteScore

3.80

自引率

5.00%

发文量

176

审稿时长

59 days

期刊介绍： Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems. The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.