Abstract
The informed embedding data hiding problem with structured lattice codes is analyzed and the use of aliased probability density functions is proposed for analytical purposes. A formula for the capacity of distortion-compensated quantization index modulation with lattice partitioning is given for the case of equiprobable symbols. The scalar case is analyzed in detail and a novel approximation to the optimal distortion compensation parameter is provided. This approximation has its roots in a Fourier series expansion of the aliased pdf’s that is introduced here. Finally, the case of general additive attacks is studied, showing that for the scalar case with equiprobable (and possibly infinite) symbols, Gaussian noise does not minimize capacity.
Work partially funded by Xunta de Galicia under grants PGIDT01 PX132204PM and PGIDT02 PXIC32205PN; CYCIT, AMULET project, reference TIC2001-3697-C03-01; and FIS, IM3 Research Network, reference FIS-G03/185 .
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Pérez-González, F. (2004). The Importance of Aliasing in Structured Quantization Index Modulation Data Hiding. In: Kalker, T., Cox, I., Ro, Y.M. (eds) Digital Watermarking. IWDW 2003. Lecture Notes in Computer Science, vol 2939. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24624-4_1
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DOI: https://doi.org/10.1007/978-3-540-24624-4_1
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