| 由一元连续小波变换得到的二元连续小波变换及重构公式 |
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| 引用本文： | 张同琦,周焕芹.由一元连续小波变换得到的二元连续小波变换及重构公式[J].大学数学,2007,23(5):56-59. |
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| 作者姓名： | 张同琦 周焕芹 |
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| 作者单位： | 渭南师范学院,数学系,陕西,渭南,714000 |
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| 基金项目： | 渭南师范学院科研基金资助项目(07YS024) |
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| 摘 要： | 讨论了L2(R2)空间中连续小波变换,分别得到由一元变换函数构造二元变换函数的二元小波变换及重构公式,得到重构公式在L2(R2)中范数收敛意义下成立的条件.
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| 关 键 词： | 连续小波变换 重构公式 Fourier变换 |
| 文章编号： | 1672-1454（2007）05-0056-04 |
| 修稿时间： | 2005-12-23 |
The Bivariate Wavelet Continuous Transform and Reconstruction Formula Derived from Wavelet Continuous Transform |
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| ZHANG Tong-qi,ZHOU Huan-qin.The Bivariate Wavelet Continuous Transform and Reconstruction Formula Derived from Wavelet Continuous Transform[J].College Mathematics,2007,23(5):56-59. |
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| Authors: | ZHANG Tong-qi ZHOU Huan-qin |
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| Institution: | Math. Research Institute, Weinan Teachers College, Weinan 714000, China |
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| Abstract: | Wavelet continuous transform in L2(R2) are discussed and bivariate wavelet continuous transform and reconstruction formula are derived from wavelet continuous transform.Moreover,the condition for convergence of reconstruction formula in the sense of L2(R2) are given. |
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| Keywords: | wavelet continuous transform reconstruction formula fourier transform |
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