广义移变系统的截断

Canadian Mathematical Bulletin Pub Date : 2023-11-29 DOI:10.4153/s0008439523000929

Ole Christensen, Pablo Garcia Alvarez, Rae Young Kim

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引用次数: 0

摘要

我们提供了一些条件，在这些条件下，广义移位不变（GSI）系统可以被一个在傅里叶域中生成器具有紧凑支持的 GSI 系统近似。近似质量将通过两个 GSI 系统之间差值的贝塞尔边界（上框架边界）来衡量。特别是，这将为 GSI 系统的扰动保留框架特性提供易于验证的条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Truncations of generalized shift-invariant systems

We provide conditions under which a generalized shift-invariant (GSI) system can be approximated by a GSI system for which the generators have compact support in the Fourier domain. The approximation quality will be measured in terms of the Bessel bound (upper frame bound) for the difference between the two GSI systems. In particular, this leads to easily verifiable conditions for a perturbation of a GSI system to preserve the frame property.

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Canadian Mathematical Bulletin

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