论文标题
迭代二元过滤库的稳定性
Stability of iterated dyadic filter banks
论文作者
论文摘要
本文研究了有限迭代的二元滤波器库的框架特性。结果表明，无限迭代的二元过滤库的稳定性保证了任何有限迭代的二元滤波器库具有均匀边界的稳定性。在有限迭代的二元滤料库具有均匀边界的稳定性的条件上，也给出了无限迭代的二元滤料库的稳定性。主要结果描述了一个足够的条件，在该条件下，与特定类别有限支持的过滤器相关的无限迭代的二元滤料库是稳定的。
This paper examines the frame properties of finitely and infinitely iterated dyadic filter banks. It is shown that the stability of an infinitely iterated dyadic filter bank guarantees that of any associated finitely iterated dyadic filter bank with uniform bounds. Conditions under which the stability of finitely iterated dyadic filter banks with uniform bounds implies that of the infinitely iterated dyadic filter bank are also given. The main result describes a sufficient condition under which the infinitely iterated dyadic filter bank associated with a specific class of finitely supported filters is stable.
