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Mathematical Problems in Engineering
Volume 2016, Article ID 2416286, 8 pages
http://dx.doi.org/10.1155/2016/2416286
Research Article

Vector Radix 2 × 2 Sliding Fast Fourier Transform

1School of Electrical Engineering Department, Korea University, 145 Anam-ro, Sungbuk-gu, Seoul 02841, Republic of Korea
2Department of Digital Contents, Sejong University, 209 Neungdong-ro, Gwangjin-gu, Seoul 05006, Republic of Korea

Received 11 August 2015; Revised 16 December 2015; Accepted 20 December 2015

Academic Editor: Lotfi Senhadji

Copyright © 2016 Keun-Yung Byun et al. 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.

Linked References

  1. K. R. Rao, D. N. Kim, and J. J. Hwang, Fast Fourier Transform—Algorithms and Applications, Springer, 2011.
  2. H. R. Wu and F. J. Paoloni, “Structure of vector radix fast Fourier transforms,” IEEE Transactions on Acoustics, Speech, and Signal Processing, vol. 37, no. 9, pp. 1415–1424, 1989. View at Publisher · View at Google Scholar · View at Scopus
  3. H. R. Wu and F. J. Paoloni, “On the two-dimensional vector split-radix FFT algorithm,” IEEE Transactions on Acoustics, Speech, and Signal Processing, vol. 37, no. 8, pp. 1302–1304, 1989. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  4. S. C. Chan and K. L. Ho, “Split vector-radix fast Fourier transform,” IEEE Transactions on Signal Processing, vol. 40, no. 8, pp. 2029–2039, 1992. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  5. M. T. Hamood and S. Boussakta, “Vector-radix-22×22 fast Fourier transform algorithm,” in Proceedings of the 17th IEEE International Conference on Electronics, Circuits, and Systems (ICECS '10), pp. 734–737, IEEE, Athens, Greece, December 2010. View at Publisher · View at Google Scholar
  6. E. Jacobsen and R. Lyons, “An update to the sliding DFT,” IEEE Signal Processing Magazine, vol. 21, no. 1, pp. 110–111, 2004. View at Publisher · View at Google Scholar
  7. C.-S. Park and S.-J. Ko, “The hopping discrete fourier transform,” IEEE Signal Processing Magazine, vol. 31, no. 2, pp. 135–139, 2014. View at Publisher · View at Google Scholar · View at Scopus
  8. C.-S. Park, “2D discrete Fourier transform on sliding windows,” IEEE Transactions on Image Processing, vol. 24, no. 3, pp. 901–907, 2015. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  9. B. G. Sherlock and D. M. Monro, “Moving discrete Fourier transform,” IEE Proceedings, Part F: Radar and Signal Processing, vol. 139, no. 4, pp. 279–282, 1992. View at Publisher · View at Google Scholar · View at Scopus
  10. E. Jacobsen and R. Lyons, “The sliding DFT,” IEEE Signal Processing Magazine, vol. 20, no. 2, pp. 74–80, 2003. View at Publisher · View at Google Scholar · View at Scopus
  11. K. Duda, “Accurate, guaranteed stable, sliding discrete fourier transform,” IEEE Signal Processing Magazine, vol. 27, no. 6, pp. 124–127, 2010. View at Publisher · View at Google Scholar · View at Scopus
  12. C. Park, “Fast, accurate, and guaranteed stable sliding discrete Fourier transform,” IEEE Signal Processing Magazine, vol. 32, no. 4, pp. 145–156, 2015. View at Publisher · View at Google Scholar
  13. B. Farhang-Borojueny and S. Gazor, “Generalized sliding FFT and its application to implementation of block LMS adaptive filters,” IEEE Transactions on Signal Processing, vol. 42, no. 3, pp. 532–537, 1994. View at Publisher · View at Google Scholar · View at Scopus