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《Henan Science》 2018-08
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Construction of Bidimensional Periodic Wavelet Frames with Dilation Matrix

CAI Chuanli;CHEN Qingjiang;School of Mathematics and Computer,Yan'an University;School of Science,Xi'an University of Architecture and Technology;  
In order to solve the problem of storage and transmission of bidimensional signals,a constructive methodof periodic wavelet frames is studied. Bidimensional tight wavelet frames are constructed by the unitary extensionprinciple. Moreover,the compactly supported periodic tight bidimensional wavelet frames are obtained. Also on thebasis of the mixed extension principle,a pair of dual wavelet frames is constructed under the condition of compactlysupported scaling function filters. The periodization of the dual wavelet frames is still a pair of dual compactlysupported periodic wavelet frames.
【Fund】: 国家自然科学基金项目(61763045);; 陕西省自然科学基金项目(2014JM1020);; 延安大学2016年度校级科研计划项目(YDQ2016-23)
【CateGory Index】: O174.2
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