| 沿虚轴无穷区间主值积分与逆傅里叶积分变换 |
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| 引用本文： | 龙姝明,孙彦清.沿虚轴无穷区间主值积分与逆傅里叶积分变换[J].陕西理工学院学报(自然科学版),2012,28(3):50-55. |
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| 作者姓名： | 龙姝明 孙彦清 |
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| 作者单位： | 陕西理工学院物理与电信工程学院,陕西汉中,723000 |
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| 基金项目： | 陕西省自然科学基础研究计划项目 |
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| 摘 要： | 在工程技术和科学研究的许多领域,傅里叶积分变换极为重要,但逆傅里叶积分变换手工计算比较困难,限制了傅里叶积分变换的应用范围.研究发现,逆傅里叶积分变换可以变换成沿复平面虚轴上的无穷区间主值积分,由此,导出一个逆傅里叶积分变换的计算公式,可用来快速完成逆傅里叶积分变换计算.
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| 关 键 词： | 逆傅里叶积分变换 有理分式函数 留数 主值积分公式 |
Inverse Fourier integral transform and along the image axis infinite interval principal value integral formulas |
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| LONG Shu-ming
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SUN Yan-qing.Inverse Fourier integral transform and along the image axis infinite interval principal value integral formulas[J].Journal of Shananxi University of Technology:Natural Science Edition,2012,28(3):50-55. |
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| Authors: | LONG Shu-ming SUN Yan-qing |
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| Institution: | (School of Physics and Telecommunication Engineering,Shaanxi University of Technology, Hanzhong 723000,China) |
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| Abstract: | Fourier integral transform is the engineering technology and scientific research indispensable analysis tools,but inverse Fourier integral transform computation is difficult.Research found that the inverse Fourier integral transform can be transformed into the closed path integral of complex functions,using the residue theorem to complete calculation.We derived the principal value integral formulas,which can be used for inverse Fourier integral transform fast calculation. |
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| Keywords: | inverse Fourier integral transform rational fraction functions closed path integral principal value integral formulas |
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