Two-dimensional nonuniform sampling expansions an iterative approach. i. theory of two-dimensional bandlimited signals
Two-dimensional nonuniform sampling expansions an iterative approach. i. theory of two-dimensional bandlimited signals
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二维非均匀采样扩展了一种迭代方法。
DOI：
10.1080/00036818908839838
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发表时间：
1989
影响因子：
1.1
通讯作者：
G. Hinsen
中科院分区：
文献类型：
--
作者：
P. Butzer;G. Hinsen
主要目的是通过一维展开公式的迭代应用，建立一个带限为以原点为中心的常数的二维函数的非均匀采样定理。为此，本文给出了带限平方可积函数的一些结果，并给出了S.M. Nikol'skii关于在等距节点处采样的方法推广到非均匀情况。这里导出了期望采样定理的第一个版本;主要的版本在第二部分中
The major aim is to establish a nonuniform sampling theorem for two-dimensional functions bandlimited to a parallelogram centered at the origin by an iterative application of one-dimensional expansion formulae. For this purpose results on bandlimited square integrable functions are given, and an inequality of S.M. Nikol'skii for samples taken at equally spaced nodes is generalized to the nonuniform case. A first version of the desired sampling theorem is derived here; the main ones follow in Part II