Title: Continuous quaternion fourier and wavelet transforms
Abstract: A two-dimensional (2D) quaternion Fourier transform (QFT) defined with the kernel [Formula: see text] is proposed. Some fundamental properties, such as convolution, Plancherel and vector differential theorems, are established. The heat equation in quaternion algebra is presented as an example of the application of the QFT to partial differential equations. The wavelet transform is extended to quaternion algebra using the kernel of the QFT.
Publication Year: 2014
Publication Date: 2014-07-01
Language: en
Type: article
Indexed In: ['crossref']
Access and Citation
Cited By Count: 29
AI Researcher Chatbot
Get quick answers to your questions about the article from our AI researcher chatbot