| A-内积和Gabor框架 |
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| 引用本文： | 田新现,汪俭彬.A-内积和Gabor框架[J].河南科技大学学报(自然科学版),2011,32(5):60-63,2. |
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| 作者姓名： | 田新现 汪俭彬 |
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| 作者单位： | 1. 河南大学数学与信息科学学院,河南开封475001;平顶山教育学院数学系,河南平顶山467001
2. 济源职业技术学院基础部,河南济源,454650 |
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| 基金项目： | 国家自然科学基金项目(61071189) |
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| 摘 要： | 给出A-内积在Gabor框架中的应用,首先用A-内积表示Gabor框架恒等式,其次借助这种内积表明Gabor框架算子、Gabor框架变换和前Gabor框架算子具有某种压缩表示。
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| 关 键 词： | A-内积 框架 Gabor框架 小波框架 平移不变系 |
A-inner Product and Gabor Frames |
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| TIAN Xin-Xian,WANG Jian-Bin.A-inner Product and Gabor Frames[J].Journal of Henan University of Science & Technology:Natural Science,2011,32(5):60-63,2. |
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| Authors: | TIAN Xin-Xian WANG Jian-Bin |
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| Institution: | TIAN Xin-Xian1,2,WANG Jian-Bin3(1.School of Mathematics & Information Sciences,Henan University,Kaifeng 475001,China,2.Department of Mathematics,Pingdingshan Education College,Pingdingshan 467001,3.Basic Courses Department,Jiyuan Vocational & Technical College,Jiyuan 454650,China) |
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| Abstract: | This paper gives the applications of A-inner product in Gabor frames.Firstly,Gabor frame identity is represented by using A-inner product.Secondly,it is shown that there exist compressed versions of the Gabor frame operator,the frame transform and the pre-frame operator by applying A-inner product. |
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| Keywords: | A-inner Frame Gabor frame Wavelet frame Shift-invariant system |
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