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Reseach Article

Generalized Two Dimensional Fractional Sine Transform

Published on February 2013 by V. D. Sharma, S. A. Khapre
International Conference on Recent Trends in Information Technology and Computer Science 2012
Foundation of Computer Science USA
ICRTITCS2012 - Number 5
February 2013
Authors: V. D. Sharma, S. A. Khapre
6cf04173-f971-448e-a256-431c07e26ee1

V. D. Sharma, S. A. Khapre . Generalized Two Dimensional Fractional Sine Transform. International Conference on Recent Trends in Information Technology and Computer Science 2012. ICRTITCS2012, 5 (February 2013), 15-18.

@article{
author = { V. D. Sharma, S. A. Khapre },
title = { Generalized Two Dimensional Fractional Sine Transform },
journal = { International Conference on Recent Trends in Information Technology and Computer Science 2012 },
issue_date = { February 2013 },
volume = { ICRTITCS2012 },
number = { 5 },
month = { February },
year = { 2013 },
issn = 0975-8887,
pages = { 15-18 },
numpages = 4,
url = { /proceedings/icrtitcs2012/number5/10278-1378/ },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Proceeding Article
%1 International Conference on Recent Trends in Information Technology and Computer Science 2012
%A V. D. Sharma
%A S. A. Khapre
%T Generalized Two Dimensional Fractional Sine Transform
%J International Conference on Recent Trends in Information Technology and Computer Science 2012
%@ 0975-8887
%V ICRTITCS2012
%N 5
%P 15-18
%D 2013
%I International Journal of Computer Applications
Abstract

As the sine transform ,cosine transform and Hartley transform are widely use in signal processing, the application of their fractional version in signal/image processing is very promising. In this paper distributional generalized two dimensional fractional sine transform is studied. Some properties are verified. Analyticity theorem of generalized two dimensional fractional sine transform is proved.

References
  1. L. B. Almeida, "An introduction to the angular Fourier transforms'', in Proc. 1993 IEEE IntConfAcoust , Speech Signal Processing, April 1993
  2. H. M. Ozaktas, Z. Zalevsky, and M. A Kutay ," The Fractional Fourier Transform with application in Optics and Signal Processing ",John Wiley and Sons Ltd. 2001
  3. S. C. Pei C. C. Tseng, M. H. Yeh and J. J. Shyu , ''Discrete fraction Hartley and Fourier transform '',IEEE trans. Circuit syst. II, vol. 45,pp. 665 – 675 , Apr. 1998
  4. S. C. Pei and M. H. Yeh, ''discrete fractional Hadamard Transform,'' in Proc IEEE intSympciruitsSyst, June 1999, pp. 1485 - 1488
  5. A. W. Lohmann ,D. Mendlovic , Z. Zalevsky, and R. G. Dorch,'' Some important fractional transformation for signal processing'', Opt. commun,vol. 125,pp. 18-20,1996
  6. Pei Soo-Chang, Min-Mung ," The Discrete Fractional Cosine and Sine Transform. "IEEE Trans Signal Processing, 2001, 49(6): 1198-1207.
  7. Conf on Information Sci and Eng . 2009, 1864-1867.
  8. V. D. Sharma,S. A. Khapre,"Analyticity of t7 Y. Tao, Y. Bao," Speech Information Hiding using fractional Cosine transform Proc. Of Int. he generalized two-dimensional Fractional Cosine transform. "J. Math. Comput. Sci. ISSN:1927-5307
  9. Zemanian, A. H. "distribution Theory and Transform Analysis ", McGraw Hill, New York,1996.
  10. ",Zemanian, A. H. " Generalized Integral Transform," Inter Science Publisher, New York, 1968.
Index Terms

Computer Science
Information Sciences

Keywords

Fractional Fourier Transform Fractional Sine Transform Fractional Cosine Transform Signal Processing Image Processing Speech Processing