All sampling representations of band-limited signals involve infinite sums. The truncation error associated with a given representation is defined as the difference between the signal and an approximating sum utilizing a finite number of terms. In this paper truncation error is expressed as a contour integral for Lagrange interpolation, general Hermite interpolation, the Shannon series (cardinal series), the Fogel derivative series, and multidimensional sampling expansions. Truncation error bounds are obtained under various constraints on the signal magnitude, spectral smoothness, and energy content.
On Truncation Error Bounds for Sampling Representations of Band-Limited Signals
IEEE Transactions on Aerospace and Electronic Systems ; AES-2 , 6 ; 640-647
1966-11-01
2322312 byte
Article (Journal)
Electronic Resource
English
On Frequency Weighted Balanced Truncation: Hankel Singular Values and Error Bounds
British Library Online Contents | 2001
|Reducing Truncation Error In Integer Processing
NTRS | 1995
|Reducing Truncation Error in Integer Processing
Online Contents | 1995
Noncentral Interpolation of Band-Limited Signals
IEEE | 1981
|On Residual Estimate of Local Truncation Error
AIAA | 2023
|