| Autor: |
Xingwei, Zhou, Xianggen, Xia |
| Zdroj: |
Approximation Theory and its Applications; September 1989, Vol. 5 Issue: 3 p15-21, 7p |
| Abstrakt: |
In this paper we will provide a theory for an extrapolation algorithm of band-limited signals with sampling errors or low noises. The main result is as follows: Suppose thatf(t)is in L2and is a continuous Ω band-limited signal. Then for any positive numbers T, A(>T) and ε, there exists a δ>0 such that when the sampling errors (or noises) off(t)on [−T, T] is less than δ we can extrapolate the values off(t)on the interval [−A, A] such that the difference between the extrapolated value and the exact value off(t)does not exceed ε. |
| Databáze: |
Supplemental Index |
| Externí odkaz: |
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