Two-dimensional quaternion Fourier transform of type II and quaternion wavelet transform
Mawardi BahriDepartment of Mathematics, Universitas Hasanuddin, IndonesiaRyuichi AshinoMathematical Sciences, Osaka Kyoiku University, JapanRémi VaillancourtDepartment of Mathematics and Statistics, University of Ottawa, Canada
2012en
ABI
Abstract
A two-dimensional quaternion Fourier transform (QFT) defined with the kernel e - i+j+k/√3 ω · x is proposed. Some fundamental properties, such as convolution theorem and Plancherel theorem are established. The wavelet transform is extended to quaternion algebra using the kernel of the QFT.
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