Abstract | ||
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In this paper, a novel class of element-wise inverse Jacket transforms (EIJT) with many parameters are proposed for signal length N = 3 × 2r. The EIJT has 2N-1 independent parameters. It is shown that the inverse transform of the proposed EIJT can be easily obtained by taking each reciprocal entry of the forward matrix of Jacket transform and then transposing the resulting matrix. Their fast transforms are also developed. Due to their simplicity, the proposed EIJT transforms may be used in many transform-based applications, where their independent parameters may provide more degrees of freedom such as affording an additional secret key in watermarking and encryption applications. |
Year | DOI | Venue |
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2012 | 10.1109/TCSI.2011.2177013 | IEEE Trans. on Circuits and Systems |
Keywords | Field | DocType |
signal processing,jacket matrix,signal length,degrees of freedom,center weighted hadamard matrix,reciprocal entry,matrix algebra,fast reciprocal jacket transform,element-wise inverse jacket transforms,element-wise inverse jacket transform,secret key,2n-1 independent parameters,eijt transforms,inverse transforms,forward matrix,watermarking applications,encryption applications,hadamard matrix,vectors,encryption,error correction,discrete fourier transform,error correction code,degree of freedom | Inverse,Signal processing,Reciprocal,Digital watermarking,Jacket matrix,Matrix (mathematics),Control theory,Arithmetic,Algorithm,Error detection and correction,Encryption,Mathematics | Journal |
Volume | Issue | ISSN |
59 | 7 | 1549-8328 |
Citations | PageRank | References |
6 | 0.51 | 12 |
Authors | ||
4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Moon Ho Lee | 1 | 765 | 107.66 |
Xiao-Dong Zhang | 2 | 38 | 4.97 |
Wei Song | 3 | 6 | 0.51 |
Xiang-gen Xia | 4 | 5167 | 410.80 |