Treffer: Performance improvement of spatial watermarking through efficient non-binary channel coding
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Telecommunications and information theory
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Many of the proposed image watermarking algorithms belong to the class of spread-spectrum techniques, in which a pseudo-noise signal (itself a function of the mark) is added to the host signal, either in space or frequency domains. Under these approaches, several results and concepts from digital communication theory, such as M-ary digital modulation, channel coding and optimum detection, are easily applicable. Previous work showed that M-ary modulation may result in a significant performance improvement for values of M higher than 4. It was also demonstrated that binary error protection techniques, such as binary BCH and convolutional codes, might be used advantageously in watermarking. Non-binary error-correcting codes, such as Reed-Solomon (RS) codes, are naturally suited for application with non-binary modulation alphabets. In this paper, we combine M-ary modulation with shortened RS codes. Analytical expressions and bounds for the bit error rate are derived and compared with empirical results for several types of images. The effectiveness of concatenating M-ary modulation with RS codes is also assessed under JPEG compression. It is shown that, for low output error rates, there exists an improvement in performance using both concepts simultaneously. It will be also demonstrated that, in general, their efficiency in watermarking detection outperforms binary BCH codes used in conjunction with binary signaling.