Convolution Theorems for Quaternion Fourier Transform: Properties and Applications
General convolution theorems for two-dimensional quaternion Fourier transforms (QFTs) are presented. It is shown that these theorems are valid not only for real-valued functions but also for quaternion-valued functions. We describe some useful properties of generalized convolutions and compare them...
Main Authors: | Mawardi Bahri, Ryuichi Ashino, Rémi Vaillancourt |
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2013-01-01
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Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/2013/162769 |
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