冯岩, 薛瑞, 周世璇. 正交对称复合伸缩小波紧框架的构造[J]. 信阳师范学院学报(自然科学版), 2015, 28(3): 317-321. DOI: 10.3969/j.issn.1003-0972.2015.03.002
引用本文: 冯岩, 薛瑞, 周世璇. 正交对称复合伸缩小波紧框架的构造[J]. 信阳师范学院学报(自然科学版), 2015, 28(3): 317-321. DOI: 10.3969/j.issn.1003-0972.2015.03.002
Feng Yan , Xue Rui , Zhou Shixuan . Construction of Orthogonally Symmetric Wavelet Tight Frames with Composite Dilations
Tight Frames with Composite Dilations[J]. Journal of Xinyang Normal University (Natural Science Edition), 2015, 28(3): 317-321. DOI: 10.3969/j.issn.1003-0972.2015.03.002
Citation: Feng Yan , Xue Rui , Zhou Shixuan . Construction of Orthogonally Symmetric Wavelet Tight Frames with Composite Dilations
Tight Frames with Composite Dilations[J]. Journal of Xinyang Normal University (Natural Science Edition), 2015, 28(3): 317-321. DOI: 10.3969/j.issn.1003-0972.2015.03.002

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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