A Fast DCT Algorithm for Watermarking in Digital Signal Processor

S. E. Tsai, S. M. Yang

研究成果: Article同行評審

10 引文 斯高帕斯(Scopus)

摘要

Discrete cosine transform (DCT) has been an international standard in Joint Photographic Experts Group (JPEG) format to reduce the blocking effect in digital image compression. This paper proposes a fast discrete cosine transform (FDCT) algorithm that utilizes the energy compactness and matrix sparseness properties in frequency domain to achieve higher computation performance. For a JPEG image of 8×8 block size in spatial domain, the algorithm decomposes the two-dimensional (2D) DCT into one pair of one-dimensional (1D) DCTs with transform computation in only 24 multiplications. The 2D spatial data is a linear combination of the base image obtained by the outer product of the column and row vectors of cosine functions so that inverse DCT is as efficient. Implementation of the FDCT algorithm shows that embedding a watermark image of 32 × 32 block pixel size in a 256 × 256 digital image can be completed in only 0.24 seconds and the extraction of watermark by inverse transform is within 0.21 seconds. The proposed FDCT algorithm is shown more efficient than many previous works in computation.

原文English
文章編號7401845
期刊Mathematical Problems in Engineering
2017
DOIs
出版狀態Published - 2017

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Engineering(all)

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