CONVOLUTION STRUCTURE OF FRACTIONAL QUATERNION FOURIER TRANSFORM
Journal: International Journal of Engineering Sciences & Research Technology (IJESRT) (Vol.5, No. 10)Publication Date: 2016-10-30
Authors : V. D. Sharma; P. B. Deshmukh;
Page : 176-182
Keywords : Fourier transform; Fractional Fourier transform; fractional quaternion Fourier transform; quaternion.;
Abstract
The quaternion are a number system that extends the complex numbers. It uses in theoretical and applied branch of mathematics. The main applications of quaternion are filter design and color image processing. It has vital role in animation field. The aim of our work is the convolution structure of Fractional Quaternion Fourier Transform is given which is useful in image processing. Also we have proved some basic properties like associative, distributive, linear, shifting for the convolution of Fractional Q uaternion Fourier Transform.
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Last modified: 2016-10-05 19:44:40