Sampling random signals in a fractional Fourier domain
Sampling random signals in a fractional Fourier domain
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DOI：
10.1016/j.sigpro.2010.11.006
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发表时间：
2011-06
期刊：
影响因子：
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通讯作者：
R. Tao;Feng Zhang;Yue Wang
中科院分区：
文献类型：
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作者：
R. Tao;Feng Zhang;Yue Wang
在本文中，我们考虑分数傅里叶域中随机信号的采样和重构方案。我们定义了分数阶傅里叶域的带限随机信号，然后通过分析分数阶傅里叶滤波器的输入和输出信号的统计特性，提出了分数阶傅里叶域带限随机信号的均匀采样和多通道采样定理。我们的公式和结果是通用的，包括作为特殊情况的随机信号的分数傅立叶域中的导数采样和周期性非均匀采样。
In this paper, we consider the sampling and reconstruction schemes for random signals in the fractional Fourier domain. We define the bandlimited random signal in the fractional Fourier domain, and then propose the uniform sampling and multi-channel sampling theorems for the bandlimited random signal in the fractional Fourier domain by analyzing statistical properties of the input and the output signals for the fractional Fourier filters. Our formulation and results are general and include derivative sampling and periodic nonuniform sampling in the fractional Fourier domain for random signals as special cases.