• V. D. Sharma
• M. M. Thakare

The Fractional Fourier transform (FRFT) is generalization of Fourier transform. The Fractional Fourier transform has been investigated by many different authors and they proved it is very useful in solving some problem in quantum physics, optics, filter design, image processing, pattern recognition, wavelet transform. Fractional Fourier transform performs a rotation of signal in the time-frequency plane and it has many applications in time varying signal analysis, pattern recognition algorithms makes extensive use of convolution because of its translation invariance property. The Offset Fractional Fourier transform is the space shifted frequency modulated version of original one. In this paper we discussed the Two Dimensional Offset Fractional Fourier transform in distributional generalize sense. Convolution theorem for the Two Dimensional Offset Fractional Fourier transform is also proved.

Fourier transform, Fractional Fourier Transform, Two-dimensional Offset Fractional Fourier transform, Generalized Function, Testing function Space.

"Convolution Structure of Two Dimensional Offset Fractional Fourier Transform", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.5, Issue 8, page no.920-923, August-2018, Available :http://www.jetir.org/papers/JETIR1808887.pdf

"Convolution Structure of Two Dimensional Offset Fractional Fourier Transform", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.5, Issue 8, page no. pp920-923, August-2018, Available at : http://www.jetir.org/papers/JETIR1808887.pdf