| 基于Hermite特征矢量的二维离散分数维变换 |
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| 引用本文： | 严佩敏,刘泓,陈崟君. 基于Hermite特征矢量的二维离散分数维变换[J]. 计算机工程, 2001, 27(7): 59-60,131 |
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| 作者姓名： | 严佩敏 刘泓 陈崟君 |
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| 作者单位： | 上海大学通信与信息工程学院, |
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| 基金项目： | 上海高教青年基金项目(98QN52) |
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| 摘 要： | 分数维变换（FRFT）是分析时变信号的强有力工具之一，它可实现信号在时频域中任何角度的旋转。由于分数维变换的重要性，实现离散分数维变换（DFRFT）则显得很重要。根据DFRFT具有DFT的Hermite特征矢量这一特性，对二维离散信号进行二维DFRFT分析，此方法即可满足旋转特性，具又可获得与连续FRFT相似的结果。
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| 关 键 词： | 信号分析 Hermite特征矢量 二维离散分数维 傅里叶变换 |
| 文章编号： | 1000-3428(2001)07-0059-03 |
Two Dimensional Discrete Fractional Fourier Transform Based on the Hermite Eigenvectors |
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| YAN PeiminLIU HongCHEN Yinjun. Two Dimensional Discrete Fractional Fourier Transform Based on the Hermite Eigenvectors[J]. Computer Engineering, 2001, 27(7): 59-60,131 |
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| Authors: | YAN PeiminLIU HongCHEN Yinjun |
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| Abstract: | Fractional Fourier transform (FRFT) becomes an important tool for time-variant signal analysis, and performs a rotation of signals in the time-frequency plane. Because of the importance of the fractional Fourier transform, the implementation of discrete fractional Fourier transformwill be an importance issue. The 2D discrete fraction Fourier transform based on the discrete Hermite eigenvectors is used to analyze the 2D discrete signals in this paper. This DFRFT can preserve the rotation properties and provide similar results to continuous FRFT. ;; |
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| Keywords: | Discrete fractionFourier transformEigenvector |
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