Sampling and sampling rate conversion of band limited signals in the fractional Fourier transform domain

Ran Tao Tao, Bing Deng, Wei Qiang Zhang, Yue Wang

科研成果: 期刊稿件文章同行评审

146 引用 (Scopus)

摘要

The fractional Fourier transform (FRFT) has become a very active area in signal processing community in recent years, with many applications in radar, communication, information security, etc., This study carefully investigates the sampling of a continuous-time band limited signal to obtain its discrete-time version, as well as sampling rate conversion, for the FRFT. Firstly, based on product theorem for the FRFT, the sampling theorems and reconstruction formulas are derived, which explain how to sample a continuous-time signal to obtain its discrete-time version for band limited signals in the fractional Fourier domain. Secondly, the formulas and significance of decimation and interpolation are studied in the fractional Fourier domain. Using the results, the sampling rate conversion theory for the FRFT with a rational fraction as conversion factor is deduced, which illustrates how to sample the discrete-time version without aliasing. The theorems proposed in this study are the generalizations of the conventional versions for the Fourier transform. Finally, the theory introduced in this paper is validated by simulations.

源语言英语
页(从-至)158-171
页数14
期刊IEEE Transactions on Signal Processing
56
1
DOI
出版状态已出版 - 1月 2008

指纹

探究 'Sampling and sampling rate conversion of band limited signals in the fractional Fourier transform domain' 的科研主题。它们共同构成独一无二的指纹。

引用此