A Fast DCT Algorithm for Watermarking in Digital Signal Processor
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-02-09
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Tsai, S. E.& Yang, S. M.. 2017. A Fast DCT Algorithm for Watermarking in Digital Signal Processor. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-7.
https://search.emarefa.net/detail/BIM-1191837
Modern Language Association (MLA)
Tsai, S. E.& Yang, S. M.. A Fast DCT Algorithm for Watermarking in Digital Signal Processor. Mathematical Problems in Engineering No. 2017 (2017), pp.1-7.
https://search.emarefa.net/detail/BIM-1191837
American Medical Association (AMA)
Tsai, S. E.& Yang, S. M.. A Fast DCT Algorithm for Watermarking in Digital Signal Processor. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-7.
https://search.emarefa.net/detail/BIM-1191837
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1191837