Research Progress of the Sampling Theorem Associated with the Fractional Fourier Transform

• 作者: Jinming Ma Ran Tao
• 来源期刊: 北京理工大学学报（英文版）
• 年，卷（期）: 2021,（3）
• 页码范围: 195-204
• 页数: 10页
• 语种: 英文
• DOI: 10.15918/j.jbit1004-0579.2021.041

摘要

Sampling is a bridge between continuous-time and discrete-time signals, which is import-ant to digital signal processing. The fractional Fourier transform (FrFT) that serves as a generaliz-ation of the FT can characterize signals in multiple fractional Fourier domains, and therefore can provide new perspectives for signal sampling and reconstruction. In this paper, we review recent de-velopments of the sampling theorem associated with the FrFT, including signal reconstruction and fractional spectral analysis of uniform sampling, nonuniform samplings due to various factors, and sub-Nyquist sampling, where bandlimited signals in the fractional Fourier domain are mainly taken into consideration. Moreover, we provide several future research topics of the sampling theorem as-sociated with the FrFT.