On the truncation error of the sampling expansion for stationarybandlimited processes

  • Authors:
  • E. Masry

  • Affiliations:
  • Dept. of Electr. & Comput. Eng., California Univ., San Diego, La Jolla, CA

  • Venue:
  • IEEE Transactions on Signal Processing
  • Year:
  • 1994

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Abstract

We consider the truncation error of the cardinal sampling expansion of stationary bandlimited processes. We show that the rate of convergence does not exceed 1/N2. This corrects the result of Pogany (see ibid., vol.39, p.1918, 1991) where a considerably faster rate of O((1n2N)/N2q) for every positive integer q was presented