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Fractional Krawtchouk Transform With an Application to Image Watermarking.
- Source :
-
IEEE Transactions on Signal Processing . Apr2017, Vol. 65 Issue 7, p1894-1908. 15p. - Publication Year :
- 2017
-
Abstract
- This paper proposes a novel fractional transform, denoted as the fractional Krawtchouk transform (FrKT), a generalization of the Krawtchouk transform. The derivation of the FrKT uses the eigenvalue decomposition method. We determine the eigenvalues and the corresponding multiplicity of the Krawtchouk transform matrix. Moreover, the orthonormal eigenvectors of the transform matrix are derived. For validation purpose only and as a first illustration of the interest of FrKT, a watermarking example was chosen. Experimental results show that better watermark robustness and imperceptibility are achieved by adjusting the fractional orders in the FrKT. [ABSTRACT FROM PUBLISHER]
- Subjects :
- *FOURIER transforms
*POLYNOMIALS
*DIGITAL watermarking
*T-matrix
*SPECTRAL theory
Subjects
Details
- Language :
- English
- ISSN :
- 1053587X
- Volume :
- 65
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- IEEE Transactions on Signal Processing
- Publication Type :
- Academic Journal
- Accession number :
- 124146005
- Full Text :
- https://doi.org/10.1109/TSP.2017.2652383