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.
翻译：本文审视了有限和无限迭代的dyadic过滤器银行的框架属性。 事实证明,一个无限迭代的dyadic过滤器银行的稳定性保证了具有统一界限的任何关联的有限迭代的dyadic过滤器银行的稳定性。 在这样的条件下,具有统一界限的有限迭代的dyadic过滤器银行的稳定性意味着也给出了无限迭代的dyadic过滤器银行的稳定性。主要结果描述了与特定类别的有限支持过滤器相关的无限迭代的dyadic过滤器银行是否稳定的充分条件。
相关内容
微信扫码咨询专知VIP会员