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Volume 16 Issue 6
Nov.  1994
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Lu Jie, Wang Xincheng, Zhu Weile. A NEW FAST ALGORITHM OF 2-D DISCRETE COSINE TRANSFORM[J]. Journal of Electronics & Information Technology, 1994, 16(6): 576-581.
Citation: Lu Jie, Wang Xincheng, Zhu Weile. A NEW FAST ALGORITHM OF 2-D DISCRETE COSINE TRANSFORM[J]. Journal of Electronics & Information Technology, 1994, 16(6): 576-581.

A NEW FAST ALGORITHM OF 2-D DISCRETE COSINE TRANSFORM

  • Received Date: 1993-05-08
  • Rev Recd Date: 1994-04-13
  • Publish Date: 1994-11-19
  • A new algorithm for the fast computation of a 2-D discrete cosine transform (DCT) is presented. It is shown that the N X N DCT, where N = 2m, can be computed using only N 1-D DCT's and additions, instead of using 2N 1-D DCT's, as in the conventional row-column approach. Hence the total number of multiplications for the proposed algorithm is only half of that required for the row-column approach, and is also less than that of most of other fast algorithms, while the number of additions is almost comparable to that of others.
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  • Lee B C. IEEE Trans. on ASSP, 1984, ASSP-32(12): 1243-1245.[2]Yang Jar-Ferr, Shaih Shih-Chang, Bai Bor-Long. IEEE Trans. on CE, 1993. CE-39(4): 934-940.[3]Duhamel P.[J].Guillemot C. Polynomial Transform Computation of 2-D DCT, in Proc. ICASSP90, New York, USA.1515,1990:-[4]Chau L-P, Sui W-C. Electron. Lett., 1994, 30(3): 197-198.[5]Lee M H, Crebbin G. IEE Proc.-F, Radar Image and Signal Processing, 1994, 141(1): 39-48.
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