Multi-channel sampling theorems for band-limited signals with fractional Fourier transform  

作　　者：ZHANG Feng TAO Ran WANG Yue 

机构地区：[1]Department of Electronic Engineering,Beijing Institute of Technology,Beijing 100081,China

出　　处：《Science China(Technological Sciences)》2008年第6期790-802,共13页中国科学（技术科学英文版）

基　　金：Supported partially by the National Natural Science Foundation of China (Grant Nos. 60232010 and 60572094) ;the National Natural Science Foundation of China for Distinguished Young Scholars (Grant No. 60625104)

摘　　要：Multi-channel sampling for band-limited signals is fundamental in the theory of multi-channel parallel A/D environment and multiplexing wireless communication environment. As the fractional Fourier transform has been found wide applications in signal processing fields, it is necessary to consider the multi-channel sampling theorem based on the fractional Fourier transform. In this paper, the multi-channel sampling theorem for the fractional band-limited signal is firstly proposed, which is the generalization of the well-known sampling theorem for the fractional Fourier transform. Since the periodic nonuniformly sampled signal in the fractional Fourier domain has valuable applications, the reconstruction expression for the periodic nonuniformly sampled signal has been then obtained by using the derived multi-channel sampling theorem and the specific space-shifting and phase-shifting properties of the fractional Fourier transform. Moreover, by designing different fractional Fourier filters, we can obtain reconstruction methods for other sampling strategies.Multi-channel sampling for band-limited signals is fundamental in the theory of multi-channel parallel A/D environment and multiplexing wireless communication environment. As the fractional Fourier transform has been found wide applications in signal processing fields, it is necessary to consider the multi-channel sampling theorem based on the fractional Fourier transform. In this paper, the multi-channel sampling theorem for the fractional band-limited signal is firstly proposed, which is the generalization of the well-known sampling theorem for the fractional Fourier transform. Since the periodic nonuniformly sampled signal in the fractional Fourier domain has valuable applications, the reconstruction expression for the periodic nonuniformly sampled signal has been then obtained by using the derived multi-channel sampling theorem and the specific space-shifting and phase-shifting properties of the fractional Fourier transform. Moreover, by designing different fractional Fourier filters, we can obtain reconstruction methods for other sampling strategies.

关 键 词：FRACTIONAL FOURIER transform FRACTIONAL band-limited signals FRACTIONAL filter INTERPOLATION series periodic nonuniformly SAMPLED signal 

分 类 号：TN911[电子电信—通信与信息系统]