| 沿虚轴无穷区问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.沿虚轴无穷区问主值积分与逆傅里叶积分变换[J].陕西工学院学报,2012(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（2010JM5011） |
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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,SUN Yan-qing.Inverse Fourier integral transform and along the image axis infinite interval principal value integral formulas[J].Journal of Shaanxi Institute of Technology,2012(3):50-55. |
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| Authors: | LONG Shu-ming SUN Yan-qing |
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| Affiliation: | (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 indispen- sable 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 func- tions, 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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