Generalized Sampling Expansion for Bandlimited Signals Associated With the Fractional Fourier Transform

@article{Wei2010GeneralizedSE,
  title={Generalized Sampling Expansion for Bandlimited Signals Associated With the Fractional Fourier Transform},
  author={Deyun Wei and Qi-Wen Ran and Yuanmin Li},
  journal={IEEE Signal Processing Letters},
  year={2010},
  volume={17},
  pages={595-598}
}
The aim of the generalized sampling expansion (GSE) is the reconstruction of an unknown continuously defined function f(t), from the samples of the responses of M linear time invariant (LTI) systems, each sampled by the 1/M th Nyquist rate. In this letter, we investigate the GSE in the fractional Fourier transform (FRFT) domain. Firstly, the GSE for fractional bandlimited signals with FRFT is proposed based on new linear fractional systems, which is the generalization of classical generalized… CONTINUE READING
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