电磁问题数值求解中有限区间上平方可积函数空间小波基的构造* |
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| [摘要] |
| 研究利用小波基数值求解天线和电磁散射问题时，定义在有限区间的平方可积函数空间上小波基函数序列构造的两种方法：边界小波共同构造法和周期构造法，并就Battle-Lemarie线性样条情形推出了周期构造法中的相关公式，进行了计算，讨论了基函数簇中函数间的平移和膨胀等关系，得到了一些有益的结果。 |
| [英文摘要] |
| The construction of wavelet bases on L2［0，1］ has been investigated numerically for the purpose of solving antenna and scattering problems by wavelet expansions. Two approaches of constituting the wavelet bases: the boundary wavelet approach and the periodical constitution have been investigated. Formulas for the Battle-Lemarie linear spline case have been given out and the calculation has been made. Properties such as shifting and translating of the base functions are discussed hereafter. |
| [关键词] |
| 天线； 电磁散射； 小波分析； 样条分析 |
| [作者] |
| 叶春飞 |
| [作者单位] |
| 叶春飞 朱剑(上海铁道大学电信系 上海200331) |
| [刊名] |
| 电波科学学报 |
| [英文刊名] |
| CHINESE JOURNAL OF RADIO SCIENCE |
| [期刊类别] |
| 无线电电子学与电信技术 |
| [年 卷 期] |
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1999 14 1 点击免费下载论文：电磁问题数值求解中有限区间上平方可积函数空间小波基的构造* |