Dynamical Sampling Associated with the Fractional Fourier Transform

被引：0
作者：
Zhang, Qingyue [1 ]
机构：
[1] Tianjin Univ Technol, Coll Sci, Tianjin, Peoples R China
来源：
PROCEEDINGS OF 2018 14TH IEEE INTERNATIONAL CONFERENCE ON SIGNAL PROCESSING (ICSP) | 2018年
基金：
中国国家自然科学基金;
关键词：
fractional Fourier transform; dynamical sampling; Poisson summation formula; convolution and product theorem; shift-invariant spaces; SHIFT-INVARIANT; RECONSTRUCTION; SIGNALS; SPACES;
D O I：
暂无
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
In this paper, we mainly study the dynamical sampling of sequence spaces and shift-invariant spaces in the fractional Fourier transform domains. We show that how to recover the signals in sequence spaces or shift-invariant spaces from their dynamical sampling values. We provide a necessary and sufficient condition for the dynamical sampling problem of sequence spaces and shift-invariant spaces in the fractional Fourier transform domains to be solvable. Our results generalize similar ones in the Fourier transform domains.
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页码：1109 / 1113
页数：5
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