紧支撑最小能量框架的参数化(英文)
Parameterizations of Minimum-energy Frames with Short Support
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摘要: 给出了具有任意伸缩因子的低通滤波器生成最小能量框架的充分条件,并给出了一类最小能量框架(包括一类紧小波框架)的参数化表示.最后根据生成最小能量框架的充分条件,构造了具有不同性质的例子Abstract: A sufficient condition for low-pass filters with arbitrary dilation factor and compact support to generate minimum-energy frames with compact support is provided.A family of minimum-energy frames with different length filters and arbitrary dilation factor,which includes a class of normal tight wavelet frames with compact support,are parameterized.In the end,some examples are given to illustrate the results