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基于样条的类伽柏系统的数值稳定性。

Numerical stability of spline-based Gabor-like systems.

作者信息

Onchis Darian M, Zappalà Simone, Real Pedro, Istin Codruta

机构信息

West University of Timisoara, Timisoara, Romania, University of Vienna, Vienna, Austria.

University of Vienna Vienna, Austria.

出版信息

Proc Eur Signal Process Conf EUSIPCO. 2018 Dec 3;26:1337-1341. doi: 10.23919/EUSIPCO.2018.8552927.

DOI:10.23919/EUSIPCO.2018.8552927
PMID:30555797
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC6292493/
Abstract

The paper provides a theorem for the characterization of numerical stability of spline-type systems. These systems are generated through shifted copies of a given atom over a time lattice. Also, we reformulate the well known Gabor systems via modulated spline-type systems and we apply the corresponding numerical stability to these systems. The numerical stability is tested for consistency against deformations.

摘要

本文给出了一个用于刻画样条型系统数值稳定性的定理。这些系统是通过在时间格点上给定原子的平移副本生成的。此外，我们通过调制样条型系统重新表述了著名的伽柏系统，并将相应的数值稳定性应用于这些系统。针对变形的一致性对数值稳定性进行了测试。

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本文引用的文献

1
Stability of Spline-Type Systems in the Abelian Case.
Symmetry (Basel). 2017 Dec 27;10(1):7. doi: 10.3390/sym10010007.
2
Approximate Duals of Gabor-like Frames Based on Realizable Multi-Window Spline-Type Constructions.
Proc Int Symp Symb Numer Algorithms Sci Comput. 2016;18:99-104. doi: 10.1109/SYNASC.2016.027.

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