Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Watermarking Systems Engineering (Signal Processing and Communications, 21)
Watermarking Systems Engineering (Signal Processing and Communications, 21)
IEEE Transactions on Signal Processing
Optimum decoding and detection of multiplicative watermarks
IEEE Transactions on Signal Processing
Asymptotically dense spherical codes. I. Wrapped spherical codes
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
Gaussian source coding with spherical codes
IEEE Transactions on Information Theory
A logarithmic quantization index modulation for perceptually better data hiding
IEEE Transactions on Image Processing
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In this paper we initially provide a new geometric interpretation of additive and multiplicative spread-spectrum (SS) watermarking with repetition coding and ML decoding. The interpretation gives an intuitive rationale on why the multiplicative scheme performs better in front of additive independent attacks, and it is also used to produce a novel quantitative performance analysis. Furthermore, the geometric considerations which explain the advantages of multiplicative SS with repetition afford the proposal of a novel side-informed STDM-like method, which we name Sphere-hardening Dither Modulation (SHDM). This method is the side-informed counterpart of multiplicative SS with repetition coding, in the same sense that STDM is the side-informed counterpart of additive SS with repetition coding.