Maximal gap of a sampling set for the exact iterative reconstruction algorithm in shift invariant spaces

Maximal gap of a sampling set for the exact iterative reconstruction algorithm in shift invariant spaces
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DOI:
10.1109/lsp.2004.831721
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发表时间:
2004-07
影响因子:
3.9
通讯作者:
Wen Chen;B. Han;R. Jia
Wen Chen;B. Han;R. Jia
中科院分区:
工程技术2区
文献类型:
--
作者:
Wen Chen;B. Han;R. Jia

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传统的A/D转换器通过理想低通滤波器对信号进行预滤波,并按奈奎斯特采样率对带宽有限的信号进行采样。近年来的研究表明,移不变空间的A/D转换为设计高精度的实际A/D转换系统提供了更灵活的选择。本文研究了平移不变空间中迭代算法的采样集的最大间隙,给出了用所承担的平移不变空间的生成器计算采样集的最大间隙的显式公式。
A conventional A/D converter prefilters a signal by an ideal lowpass filter and performs sampling for bandlimited signals by the Nyquist sampling rate. Recent research reveals that A/D conversion in a shift invariant space provides more flexible choices for designing a practical A/D conversion system of high accuracy. This paper focuses on the maximal gap of a sampling set for the iterative algorithm in shift invariant spaces, which provides an explicit formula to calculate the maximal gap of a sampling set in terms of a generator of the undertaken shift invariant spaces.