6th International ICST Conference on Communications and Networking in China

Research Article

Generalized Sampling Theorem for Bandpass Signals Associated With Fractional Fourier Transform

  • @INPROCEEDINGS{10.1109/ChinaCom.2011.6158237,
        author={Jun Shi and Xuejun Sha and Qinyu Zhang and Naitong Zhang},
        title={Generalized Sampling Theorem for Bandpass Signals Associated With Fractional Fourier Transform},
        proceedings={6th International ICST Conference on Communications and Networking in China},
        publisher={IEEE},
        proceedings_a={CHINACOM},
        year={2012},
        month={3},
        keywords={bandpass signal fractional fourier transform fractional domain generalzied sampling theorem},
        doi={10.1109/ChinaCom.2011.6158237}
    }
    
  • Jun Shi
    Xuejun Sha
    Qinyu Zhang
    Naitong Zhang
    Year: 2012
    Generalized Sampling Theorem for Bandpass Signals Associated With Fractional Fourier Transform
    CHINACOM
    IEEE
    DOI: 10.1109/ChinaCom.2011.6158237
Jun Shi1,*, Xuejun Sha1, Qinyu Zhang1, Naitong Zhang1
  • 1: Harbin Institute of Technology
*Contact email: jiunshi@yahoo.cn

Abstract

The fractional Fourier transform (FRFT) which is a generalization of the Fourier transform (FT) has been shown to be a powerful analyzing tool in signal processing. Many properties of the FT including the generalized sampling theorem have been extended to the FRFT. However, the existing extensions of the classical generalized sampling theorem for the FRFT are derived from the lowpass signal viewpoint, and the implementation of those extensions is inefficient for the effect of spectral leakage. In this paper, we propose a new generalized sampling theorem associated with the FRFT from the fractional bandpass signal viewpoint. The proposed theorem which is constructed by the ordinary convolution in the time domain can overcome the effect of spectral leakage and is easy to implement in practical applications.