On Fourier interpolation error for band-limited signals

  • Authors:

  • Zhengguang Xu;Benxiong Huang;Kewei Li

  • Affiliations:

  • Department of Electronics and Information Engineering, Huazhong University of Science and Technology, Wuhan, China;Department of Electronics and Information Engineering, Huazhong University of Science and Technology, Wuhan, China;Department of Electronics and Information Engineering, Huazhong University of Science and Technology, Wuhan, China

  • Venue:
  • IEEE Transactions on Signal Processing
  • Year:
  • 2009

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Abstract

Fourier interpolation is a useful tool to reconstruct continuous signals from discrete samples. This correspondence derives Fourier interpolation expression from Fourier series for periodic signals and investigates its error expression and upper bound for general band-limited signals. Two numerical examples are given to interpret the meaning of the formulas.