CONVOLUTION STRUCTURE OF FRACTIONAL QUATERNION FOURIER TRANSFORM

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 Quaternion Fourier Transform.