A Unified Algorithm for Subband-Based Discrete Cosine Transform

Lu-Ting Ko, Jwu-E Chen, Hsi-Chin Hsin, Yaw-Shih Shieh and Tze-Yun Sung

Mathematical Problems in Engineering, 2012, vol. 2012, 1-31

Abstract:

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 and 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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:912194

DOI: 10.1155/2012/912194

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