正交对称复合伸缩小波紧框架的构造

Construction of Orthogonally Symmetric Wavelet Tight Frames with Composite Dilations
Tight Frames with Composite Dilations

  • 摘要: 正交对称小波框架在多通道通信系统中有着重要应用, 复合伸缩因子小波能更有效地捕捉高维信号的线状奇异性. 由已知的复合伸缩小波正交基或紧框架, 给出一个构造正交对称的复合伸缩小波紧框架的简单方法. 最后,给出两个构造算例.

     

    Abstract: Orthogonal wavelet frames with symmetry plays an important role in multiple access communication systems, wavelets with composite dilations may capture the curve-like singularity efficiently of multidimensional data. Orthogonally symmetric wavelet tight frames with composite dilations were constructed from given composite dilation wavelets orthogonal bases or tight frames. Two examples were provided to illustrate the method

     

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