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A Unified Algorithm for Subband-Based Discrete Cosine Transform

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Listed:
  • Lu-Ting Ko
  • Jwu-E Chen
  • Hsi-Chin Hsin
  • Yaw-Shih Shieh
  • Tze-Yun Sung

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.

Suggested Citation

  • Lu-Ting Ko & Jwu-E Chen & Hsi-Chin Hsin & Yaw-Shih Shieh & Tze-Yun Sung, 2012. "A Unified Algorithm for Subband-Based Discrete Cosine Transform," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-31, August.
    • Handle: RePEc:hin:jnlmpe:912194
    DOI: 10.1155/2012/912194
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