基于正交平面分割的四元数傅里叶变换的卷积及相关定理

2019 International Conference on Wavelet Analysis and Pattern Recognition (ICWAPR) Pub Date : 2019-07-01 DOI:10.1109/ICWAPR48189.2019.8946471

M. Bahri, R. Ashino

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引用次数: 0

摘要

基于正交平面分割的四元数傅里叶变换是对基于四元数分割的双边四元数傅里叶变换的扩展。本文研究了它的基本性质，如线性、频移和时频移。然后研究了基于正交平面分割的四元数傅里叶变换的卷积和相关定义，得到了它们的卷积和相关定理。

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Convolution and Correlation Theorems for Quaternion Fourier Transformation Based on the Orthogonal Planes Split

The quaternion Fourier transformation based on orthogonal planes split is an extension of the two-sided quaternion Fourier transformations using quaternion split. In the present paper we investigate its basic properties such as linearity, frequency-shift and time-frequency shift. We then study the convolution and correlation definitions for the quaternion Fourier transformation based on orthogonal planes split and obtain their convolution and correlation theorems.

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来源期刊

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

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