TY - JOUR
T1 - Filterbank implementation for multi-channel sampling in fractional Fourier domain
AU - Zhang, Feng
AU - Tao, Ran
AU - Wang, Yue
PY - 2009/9
Y1 - 2009/9
N2 - 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.
AB - 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.
KW - Filterbank
KW - Fractional Fourier transform
KW - Interpolation identity
UR - http://www.scopus.com/inward/record.url?scp=68749102067&partnerID=8YFLogxK
U2 - 10.1007/s11431-009-0114-4
DO - 10.1007/s11431-009-0114-4
M3 - Article
AN - SCOPUS:68749102067
SN - 1006-9321
VL - 52
SP - 2619
EP - 2628
JO - Science in China, Series E: Technological Sciences
JF - Science in China, Series E: Technological Sciences
IS - 9
ER -