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Universitas Hasanuddin
Research output:Contribution to journal›Article›peer-review

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

Bahri M.

International Conference on Wavelet Analysis and Pattern Recognition

Published: 2019Citations: 1

Abstract

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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