Volume 8, Issue 2, September 2014, Pages 813–818
V. D. Sharma1 and S. A. Khapre2
1 Department of Mathematics, Arts, Commerce and Science College, Amravati, Amravati, Maharashtra, India
2 Department of Mathematics, P. R. Patil College of Engineering and Technology, Amravati (M.S.), 444604, India
Original language: English
Copyright © 2014 ISSR Journals. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Transform methods are widely used in many areas of science and engineering. For example, transform methods are used in signal processing and circuit analysis, in application of probability theory. The Fourier transform (FT), used for most of the signal processing applications, determines the frequency components present in the signal but with zero time resolution. The fractional cosine and sine transform closely related to the fractional Fourier transform which is now actively used in optics and signal processing. Application of their fractional version in signal/image processing is very promising.
This paper concerned with generalization of fractional Sine transform in distributional sense. Operational transform formulae as linearity, scaling, derivative for generalized two dimensional fractional Sine transform are proved.
Author Keywords: fractional cosine transform, fractional sine transform, fractional Fourier transform.
V. D. Sharma1 and S. A. Khapre2
1 Department of Mathematics, Arts, Commerce and Science College, Amravati, Amravati, Maharashtra, India
2 Department of Mathematics, P. R. Patil College of Engineering and Technology, Amravati (M.S.), 444604, India
Original language: English
Copyright © 2014 ISSR Journals. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
Transform methods are widely used in many areas of science and engineering. For example, transform methods are used in signal processing and circuit analysis, in application of probability theory. The Fourier transform (FT), used for most of the signal processing applications, determines the frequency components present in the signal but with zero time resolution. The fractional cosine and sine transform closely related to the fractional Fourier transform which is now actively used in optics and signal processing. Application of their fractional version in signal/image processing is very promising.
This paper concerned with generalization of fractional Sine transform in distributional sense. Operational transform formulae as linearity, scaling, derivative for generalized two dimensional fractional Sine transform are proved.
Author Keywords: fractional cosine transform, fractional sine transform, fractional Fourier transform.
How to Cite this Article
V. D. Sharma and S. A. Khapre, “Operation Transform Formulae for Generalized two Dimensional Fractional Sine Transform,” International Journal of Innovation and Applied Studies, vol. 8, no. 2, pp. 813–818, September 2014.
