Spectral Analysis of Sampled Signals in the Linear Canonical Transform Domain
Spectral Analysis of Sampled Signals in the Linear Canonical Transform Domain
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DOI：
10.1155/2012/536464
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发表时间：
2012-04
影响因子：
--
通讯作者：
Bingzhao Li;T. Xu
中科院分区：
文献类型：
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作者：
Bingzhao Li;T. Xu
均匀或非均匀采样信号的频谱分析是数字信号处理界的热门话题之一。传统傅里叶域中均匀和非均匀采样的一维或二维信号的理论和应用已经得到了很好的研究。但迄今为止，还没有一篇针对线性正则变换域采样信号频谱分析的研究论文发表。在本文中，我们研究了线性正则变换域中采样信号的频谱。首先，根据均匀采样信号频谱的性质，推导了二维信号均匀采样定理。其次，获得了周期性非均匀采样的一维和二维信号的一般谱表示。第三，对线性正则变换域中的周期性非均匀采样线性调频信号进行了详细分析。
The spectral analysis of uniform or nonuniform sampling signal is one of the hot topics in digital signal processing community. Theories and applications of uniformly and nonuniformly sampled one-dimensional or two-dimensional signals in the traditional Fourier domain have been well studied. But so far, none of the research papers focusing on the spectral analysis of sampled signals in the linear canonical transform domain have been published. In this paper, we investigate the spectrum of sampled signals in the linear canonical transform domain. Firstly, based on the properties of the spectrum of uniformly sampled signals, the uniform sampling theorem of two dimensional signals has been derived. Secondly, the general spectral representation of periodic nonuniformly sampled one and two dimensional signals has been obtained. Thirdly, detailed analysis of periodic nonuniformly sampled chirp signals in the linear canonical transform domain has been performed.