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The information loss error and the jitter error for regular sampling expansions, Sampl. Theory Signal Image Process
"... We give upper bounds for the Information Loss Error of regular sampling expansions. In particular we estimate this error for a wide class of sampling formulas which includes the sampling formulas of Shannon and Meyer. We also deal with the Jitter Error of sampling expansions. We generalize previous ..."
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We give upper bounds for the Information Loss Error of regular sampling expansions. In particular we estimate this error for a wide class of sampling formulas which includes the sampling formulas of Shannon and Meyer. We also deal with the Jitter Error of sampling expansions. We generalize previous works and we give some new esti-mates and results.
Applicable Analysis
"... In this article the well-known hypercircle inequality is extended to the Riesz bases setting. A natural appli-cation for this new inequality is given by the estimation of the truncation error in nonorthogonal sampling formulas. Examples including the estimation of the truncation error for wavelet sa ..."
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In this article the well-known hypercircle inequality is extended to the Riesz bases setting. A natural appli-cation for this new inequality is given by the estimation of the truncation error in nonorthogonal sampling formulas. Examples including the estimation of the truncation error for wavelet sampling expansions or for nonorthogonal sampling formulas in Paley–Wiener spaces are exhibited.
