Abstract
In this paper, we first present a stable computation of high-order discrete orthonormalized Shmaliy polynomials (SPs). Then, based on SPs we introduce a new type of color image descriptor called Quaternion Shmaliy Moments (QSMs). This descriptor is applied to the copyright protection of bio-signals after converting the latter into color spectrograms images using the Short-Time Fourier Transform (STFT). The proposed method for bio-signal copyright protection is implemented via a novel zero-watermarking scheme. The simulation and comparison results prove on one hand the numerical stability of the proposed computation of high-order SPs, and on the other hand, they demonstrate the robustness of the proposed zero-watermarking scheme against various signal-processing attacks (compression, filtering, noise, etc.).
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Daoui, A., Karmouni, H., Sayyouri, M. et al. New method for bio - signals zero - watermarking using quaternion shmaliy moments and short-time fourier transform. Multimed Tools Appl 81, 17369–17399 (2022). https://doi.org/10.1007/s11042-022-12660-2
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DOI: https://doi.org/10.1007/s11042-022-12660-2