Conversion between DCT coefficients of blocks and their sub-blocks

Zhihua He; Maja Bystrom; S. Hamid Nawab

doi:10.1117/12.633370

24 June 2005 Conversion between DCT coefficients of blocks and their sub-blocks

Zhihua He, Maja Bystrom, S. Hamid Nawab

Proceedings Volume 5960, Visual Communications and Image Processing 2005; 59605S (2005) https://doi.org/10.1117/12.633370
Event: Visual Communications and Image Processing 2005, 2005, Beijing, China

Abstract

In this paper, we present a fast algorithm for bi-directional conversion between discrete cosine transform (DCT) coefficients of a signal block and its sub-blocks. Specifically, we show that a DCT of a block of size N x N can be efficiently obtained from the N/2 x N/2 DCT coefficients of its sub-blocks, and vice versa. The algorithms are obtained by formulating each unidirectional conversion as a relatively simple combination of N/2 x N/2 DCT calculations. For typical DCT block sizes our algorithms result in a 20% savings in multiplications over the fastest existing methods. Simulation results also suggest high accuracy using the proposed conversion scheme.

Citation Download Citation

Zhihua He, Maja Bystrom, and S. Hamid Nawab "Conversion between DCT coefficients of blocks and their sub-blocks", Proc. SPIE 5960, Visual Communications and Image Processing 2005, 59605S (24 June 2005); https://doi.org/10.1117/12.633370

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