New polynomial transform algorithm for multidimensional DCT

IEEE Transactions on Signal Processing

Volumn 48, Issue 10, 2000, Pages 2814-2821

  Zeng, Yonghong ^a  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COSINE TRANSFORMS; POLYNOMIALS;

DISCRETE COSINE TRANSFORMS; MULTIDIMENSIONAL SIGNAL PROCESSING;

SIGNAL PROCESSING;

EID: 0034298957     PISSN: 1053587X     EISSN: None     Source Type: None    
DOI: 10.1109/78.869031     Document Type: Article

References (13)

1. Z. S. Wang, Z. Y. He, C. R. Zou, and J. D. Z. Chen, "A generalized fast algorithm for ra-D discrete cosine transform and its application to motion picture coding," IEEE Trans. Circuits Syst. II, vol. 46, pp. 617-627, May 1999.
2. J. Prado and P. Duhamel, "A polynomial transform based computation of the 2-D DCT with minimum multiplicative complexity," in Proc. ICASSP, vol. 3, 1996, pp. 1347-1350.
3. P. Duhamel and C. Guillemot, "Polynomial transform computation of the 2-D DCT," in Proc. ICASSP, 1990, pp. 1515-1518.
4. H. J. Nussbaumer and P. Quandalle, "Fast polynomial transform computation of the 2-D DCT," in Proc. ICDSP, 1981, pp. 276-283.
5. N. I. Cho and S. U. Lee, "Fast algorithm and implementation for 2-D discrete cosine transform,"IEEE Trans. Circuits Syst., vol. 38, pp. 297-305, Mar. 1991.
6. G. P. Apousleman, M. W. Marcellin, and B. R. Hunt, "Compression of hyperspectral imagery using the 3-D DCT and hybrid DPCM/DCT," IEEE Trans. Geosci. Remote Sensing, vol. 33, pp. 26-34, Jan. 1995.
7. Y. L. Siu and W. C. Siu, "Variable temporal-length 3-D discrete cosine transform coding," IEEE Trans. Image Processing, vol. 6, pp. 758-763, May 1997.
8. Z. R. Jiang and Y H. Zeng, Polynomial Transform and its Applications (in Chinese). Changsha, China: Nat. Univ. Defense Technol. Press, 1989.
9. H. J. Nussbaumer, "New polynomial transform algorithms for multidimensional DFT's and convolutions," IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-29, pp. 74-84, Jan. 1981.
10. Z. R. Jiang, Y H. Zeng, and P. N. Yu, Fast Algorithms (in Chinese). Changsha, China: Nat. Univ. Defense Technol. Press, 1994.
11. R. E. Blahut, Fast Algorithms for Digital Signal Processing. Reading, MA: Addison-Wesley, 1984.
12. B. G. Lee, "A new algorithm to compute the discrete cosine transform," IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-32, pp. 1243-1245, Apr. 1984.
13. E. Feig and S. Winograd, "Fast algorithm for the discrete cosine transform," IEEE Trans. Signal Processing, vol. 40, pp. 2174-2193, Sept. 1992.