The Cross Product of Interconnection Networks
IEEE Transactions on Parallel and Distributed Systems
Discrete-time signal processing (2nd ed.)
Discrete-time signal processing (2nd ed.)
ICASSP '01 Proceedings of the Acoustics, Speech, and Signal Processing, 2001. on IEEE International Conference - Volume 03
EURASIP Journal on Applied Signal Processing
Journal of Signal Processing Systems
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The three dimensional discrete cosine transform (3D DCT) has been widely used in many applications such as video compression. On the other hand, the kary n-cube is one of the most popular interconnection networks used in many recent multicomputers. As direct calculation of 3D DCT is very time consuming, many researchers have been working on developing algorithms and special-purpose architectures for fast computation of 3D DCT. This paper proposes a parallel algorithm for efficient calculation of 3D DCT on the k-ary n-cube multicomputers. The time complexity of the proposed algorithm is of O(N) for an N x N x N input data cube while direct calculation of 3D DCT has a complexity of O(N^6).