MDCT swMATH ID: 3503 Software Authors: J.S. Wua, d, H.Z. Shua, d, L. Senhadjib, c, d, L.M. Luo Description: 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. Homepage: http://www.sciencedirect.com/science/article/pii/S0165168407004082 Keywords: 2-D MDCT; 2-D DCT; Fast algorithm; Image coding Related Software: MDCT/MDST Cited in: 3 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year A fast algorithm for the computation of 2-D forward and inverse MDCT. Zbl 1186.94016Wu, J. S.; Shu, H. Z.; Senhadji, L.; Luo, L. M. 2008 all top 5 Cited by 6 Authors 2 Britaňák, Vladimír 1 Arriëns, Huibert J. Lincklaen 1 Luo, Limin 1 Senhadji, Lotfi 1 Shu, Huazhong 1 Wu, Jiasong Cited in 1 Serial 3 Signal Processing Cited in 3 Fields 3 Numerical analysis (65-XX) 3 Information and communication theory, circuits (94-XX) 1 Systems theory; control (93-XX) Citations by Year