四元数傅里叶变换三种定义之间的关系及反演公式

2019 International Conference on Wavelet Analysis and Pattern Recognition (ICWAPR) Pub Date : 2019-07-01 DOI:10.1109/ICWAPR48189.2019.8946455

M. Bahri, R. Ashino

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引用次数: 0

摘要

首先，基于四元数傅里叶变换核函数的基本性质，详细推导了三种四元数傅里叶变换定义之间的关系。其次，基于四元数高斯函数的四元数傅里叶变换，导出了从四元数傅里叶变换中恢复四元数函数的反演公式。

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Relationship Among Three Definitions Of Quaternion Fourier Transforms And Inversion Formula

Firstly, based on basic properties of the kernel function of the quaternion Fourier transform we derive in detail relationships among three definitions of the quaternion Fourier transforms. Secondly, based on the quaternion Fourier transform of the quaternion Gaussian function we derive an inversion formula to recovering a quaternion function from the quaternion Fourier transform.

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2019 International Conference on Wavelet Analysis and Pattern Recognition (ICWAPR)

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