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The extrapolation of band-limited signals in L2 with sampling errors

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Approximation Theory and its Applications

Abstract

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 L2 and 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.

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References

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Authors and Affiliations

  1. Nankai University, China

    Zhou Xingwei & Xia Xianggen

Authors
  1. Zhou Xingwei
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  2. Xia Xianggen
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Xingwei, Z., Xianggen, X. The extrapolation of band-limited signals in L2 with sampling errors. Approx. Theory & its Appl. 5, 15–21 (1989). https://doi.org/10.1007/BF02836489

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  • DOI: https://doi.org/10.1007/BF02836489

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