Two-dimensional quaternion Fourier transform of type II and quaternion wavelet transform
Two-dimensional quaternion Fourier transform of type II and quaternion wavelet transform
复制标题
DOI：
10.1109/icwapr.2012.6294808
复制
发表时间：
2012-07
期刊：
影响因子：
--
通讯作者：
M. Bahri;R. Ashino;R. Vaillancourt
中科院分区：
文献类型：
--
作者：
M. Bahri;R. Ashino;R. Vaillancourt
提出了一种以e-i +j+k/ω 3 ω · x为核的二维四元数傅里叶变换（QFT）.建立了卷积定理和Plancherel定理等基本性质。利用QFT的核将小波变换推广到四元数代数。
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.