Filterbank implementation for multi-channel sampling in fractional Fourier domain  

作　　者：ZHANG Feng TAO Ran WANG Yue 

机构地区：[1]Department of Electronic Engineering,Beijing Institute of Technology,Beijing100081,China

出　　处：《Science China(Technological Sciences)》2009年第9期2619-2628,共10页中国科学（技术科学英文版）

基　　金：Supported by the National Natural Science Foundation of China for Distinguished Young Scholars (Grant No. 60625104);the National Natural Science Foundation of China (Grant Nos. 60890072, 60572094);the National Key Basic Research Program Founded by MOST (Grant No. 2009CB724003)

摘　　要：Reconstruction of a continuous time signal from its periodic nonuniform samples and multi-channel samples is fundamental for multi-channel parallel A/D and MIMO systems. In this paper,with a filterbank interpretation of sampling schemes,the efficient interpolation and reconstruction methods for periodic nonuniform sampling and multi-channel sampling in the fractional Fourier domain are presented. Firstly,the interpolation and sampling identities in the fractional Fourier domain are derived by the properties of the fractional Fourier transform. Then,the particularly efficient filterbank implementations for the periodic nonuniform sampling and the multi-channel sampling in the fractional Fourier domain are introduced. At last,the relationship between the multi-channel sampling and the filterbank in the fractional Fourier domain is investigated,which shows that any perfect reconstruction filterbank can lead to new sampling and reconstruction strategies.Reconstruction of a continuous time signal from its periodic nonuniform samples and multi-channel samples is fundamental for multi-channel parallel A/D and MIMO systems. In this paper, with a filterbank interpretation of sampling schemes, the efficient interpolation and reconstruction methods for periodic nonuniform sampling and multi-channel sampling in the fractional Fourier domain are presented. Firstly, the interpolation and sampling identities in the fractional Fourier domain are derived by the properties of the fractional Fourier transform. Then, the particularly efficient filterbank implementations for the periodic nonuniform sampling and the multi-channel sampling in the fractional Fourier domain are introduced. At last, the relationship between the multi-channel sampling and the filterbank in the fractional Fourier domain is investigated, which shows that any perfect reconstruction filterbank can lead to new sampling and reconstruction strategies.

关 键 词：FRACTIONAL FOURIER TRANSFORM filterbank INTERPOLATION IDENTITY 

分 类 号：TN911.72[电子电信—通信与信息系统]