%0 Journal Article
%T A Unified Algorithm for Subband-Based Discrete Cosine Transform
%A Lu-Ting Ko
%A Jwu-E Chen
%A Hsi-Chin Hsin
%A Yaw-Shih Shieh
%A Tze-Yun Sung
%J Mathematical Problems in Engineering
%D 2012
%I Hindawi Publishing Corporation
%R 10.1155/2012/912194
%X Discrete cosine transform (DCT) and inverse DCT (IDCT) have been widely used in many image processing systems and real-time computation of nonlinear time series. In this paper, the unified DCT/IDCT algorithm based on the subband decompositions of a signal is proposed. It is derived from the data flow of subband decompositions with factorized coefficient matrices in a recursive manner. The proposed algorithm only requires (4(log2)£¿1£¿1) and (4(log2)£¿1£¿1)/3 multiplication time for -point DCT and IDCT, with a single multiplier and a single processor, respectively. Moreover, the peak signal-to-noise ratio (PSNR) of the proposed algorithm outperforms the conventional DCT/IDCT. As a result, the subband-based approach to DCT/IDCT is preferable to the conventional approach in terms of computational complexity and system performance. The proposed reconfigurable architecture of linear array DCT/IDCT processor has been implemented by FPGA.
%U http://www.hindawi.com/journals/mpe/2012/912194/