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Maximal gap of a sampling set for the exact iterative reconstruction algorithm in shift invariant spaces

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3 Author(s)
Wen Chen ; Dept. of Electr. & Comput. Eng., Univ. of Alberta, Edmonton, Alta., Canada ; B. Han ; Rong-Qing Jia

A conventional A/D converter prefilters a signal by an ideal lowpass filter and performs sampling for bandlimited signals by the Nyquist sampling rate. Recent research reveals that A/D conversion in a shift invariant space provides more flexible choices for designing a practical A/D conversion system of high accuracy. This paper focuses on the maximal gap of a sampling set for the iterative algorithm in shift invariant spaces, which provides an explicit formula to calculate the maximal gap of a sampling set in terms of a generator of the undertaken shift invariant spaces.

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IEEE Signal Processing Letters  (Volume:11 ,  Issue: 8 )