A unified algorithm for subband-based discrete cosine transform

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

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


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(log 2 n)-1 -1) and (4 (log 2 n)-1 -1)/3 multiplication time for n -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.

Original languageEnglish
Article number912194
JournalMathematical Problems in Engineering
StatePublished - 2012


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