A fast algorithm for computing the two-dimensional (2-D) forward and inverse modified discrete cosine transform (MDCT and IMDCT) is proposed. The algorithm converts the 2-D MDCT and IMDCT with block size M×N into four 2-D discrete cosine transforms (DCTs) with block size (M/4)×(N/4). It is based on an algorithm recently presented by Cho et al. [An optimized algorithm for computing the modified discrete cosine transform and its inverse transform, in: Proceedings of the IEEE TENCON, vol. A, 21–24 November 2004, pp. 626–628] for the efficient calculation of one-dimensional MDCT and IMDCT. Comparison of the computational complexity with the traditional row–column method shows that the proposed algorithm reduces significantly the number of arithmetic operations.
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References in zbMATH (referenced in 3 articles , 1 standard article )
Showing results 1 to 3 of 3.
- Britanak, Vladimir: New universal rotation-based fast computational structures for an efficient implementation of the DCT-IV/DST-IV and analysis/synthesis MDCT/MDST filter banks (2009)
- Britanak, Vladimir; Arriëns, Huibert J.Lincklaen: Fast computational structures for an efficient implementation of the complete TDAC analysis/synthesis MDCT/MDST filter banks (2009)
- Wu, J.S.; Shu, H.Z.; Senhadji, L.; Luo, L.M.: A fast algorithm for the computation of 2-D forward and inverse MDCT (2008)