| 插值重建的分数阶傅里叶域分析 |
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| 引用本文： | 邓兵,平殿发,苏峰.插值重建的分数阶傅里叶域分析[J].弹箭与制导学报,2009,29(3). |
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| 作者姓名： | 邓兵 平殿发 苏峰 |
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| 作者单位： | 海军航空工程学院,山东烟台,264001 |
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| 基金项目： | 国防预研项目，泰山学者建设工程专项基金 |
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| 摘 要： | 建立在傅里叶变换基础上的传统插值重建理论已不适用于基于分数阶傅里叶变换的SAR算法,文中对插值重建理论在分数阶傅里叶域作了进一步的分析和仿真.首先依据分数阶卷积的概念从分数阶傅里叶域的角度分析了采样信号的重建方程.其次从工程应用出发,进行了有限数目卷积核的插值重建误差分析.最后,给出了卷积核的截断归一化公式.可以发现利用分数阶卷积的插值核数目大于16即可,且需要保证移动后的样本位置不远离原卷积核的样本位置.
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| 关 键 词： | 分数阶傅里叶变换 插值 信号重建 |
The Analysis of Reconstruction by Interpolation in the Fractional Fourier Domain |
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| DENG Bing,PING Dianfa,SU Feng.The Analysis of Reconstruction by Interpolation in the Fractional Fourier Domain[J].Journal of Projectiles Rockets Missiles and Guidance,2009,29(3). |
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| Authors: | DENG Bing PING Dianfa SU Feng |
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| Affiliation: | DENG Bing,PING Dianfa,SU Feng(Naval Aeronautical , Astronautical University,Sh,ong Yantai 264001,China) |
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| Abstract: | The conventional reconstruction theory by interpolation is based on the Fourier transform,has not fit for the SAR algorithms based on the fractional Fourier transform.In this paper,reconstruction by interpolation is analyzed and simulated in the fractional Fourier domain further.Firstly,the reconstruction formula of a sampled signal was analyzed in the fractional Fourier domain according to the fractional convolution.Secondly,as for engineering application,the error analysis of reconstruction by interpolati... |
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| Keywords: | fractional Fourier transform interpolation signal reconstruction |
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