Convolution and Deconvolution by Generalized Discrete Fourier Transformation

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- Convolution and Deconvolution by Generalized Discrete Fourier Transformation
- Acta Electronica Sinica Issue 2, Pages: 90-95(1988)
- 作者机构：
  
  清华大学无线电电子学系
- 作者简介：
- 基金信息：
- DOI：
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- Published：1988
- 稿件说明：
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[1]阎鸣生,茅于海.利用广义离散Fourier变换计算线性卷积与卷积反演[J].电子学报,1988(02):90-95.

Yan Ming-shen, Mao Yu-hai. Convolution and Deconvolution by Generalized Discrete Fourier Transformation[J]. Acta Electronica Sinica, 1988, (2): 90-95.
[1]阎鸣生,茅于海.利用广义离散Fourier变换计算线性卷积与卷积反演[J].电子学报,1988(02):90-95. DOI：

Yan Ming-shen, Mao Yu-hai. Convolution and Deconvolution by Generalized Discrete Fourier Transformation[J]. Acta Electronica Sinica, 1988, (2): 90-95. DOI：

本文利用单参数广义Fourier变换（GFT（0

α））给出了计算线性卷积与卷积反演的方法及GFT（0

α）的特性。应用GFT（0

α）可以实现快速卷积和卷积反演。比时域法反演要节省大量的运算。

In this paper

the methods of convolution and deconvolution by single parameter GFT are proposed

and some of the important properties of GFT（0

α） have been given. The fast convolution and deconvolution can be realized by using GFT（0

α）. A lot of operations can be saved by this method as compared with the time domain deconvolution method.

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