Digital Watermarking under a Filtering and Additive Noise Attack Condition

  • Valery Korzhik
  • Guillermo Morales-Luna
  • Irina Marakova
  • Carlos Patiño-Ruvalcaba
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2776)


We consider a private zero-bit watermark (WM) system in which an unauthorized removal of the WM is restricted by a linear filtering of the watermarked message combined with additive noise attack. It is assumed that a WM detector knows both the original cover message (CM) and the pulse (or frequency) response of the attack filter. The formulas to calculate the WM-missing and WM-false alarm probabilities are developed and proved. We conclude that whenever some filtering of the watermarked message is yet acceptable with respect to CM quality then there results in a degradation of the WM system even if the designer of the WM uses an optimal signal. This fact is different than most that can be found at current WM literature. The main properties of a WM system under a filtering and additive noise attack condition are confirmed by simulations of the watermarked images.


Watermark Linear Filtering Correlation Detector Error Probability White and Colored Additive Noise 


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  1. 1.
    Cox, I.J., Miller, M.L., Bloom, J.A.: Digital Watermarking. Morgan-Kaufmann Publishers, San Francisco (2002)Google Scholar
  2. 2.
    Korjik, V., Morales-Luna, G., Marakov, D., Marakova, I.: A performance evaluation of digital private watermarking under an additive noise condition. In: Proc. VII Spanish Conf. on Cryptology and Information Security, U. Oviedo, pp. 461–470 (2002)Google Scholar
  3. 3.
    Proakis, J.: Digital Communications, 4th edn. Mc Graw Hill, New York (2001)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Valery Korzhik
    • 1
  • Guillermo Morales-Luna
    • 2
  • Irina Marakova
    • 3
  • Carlos Patiño-Ruvalcaba
    • 4
  1. 1.Specialized Center of Program System “SPECTR”St. PetersburgRussia
  2. 2.Computer ScienceCINVESTAV-IPNMexico CityMexico
  3. 3.Institute of Radio Electronics and Telecommunication SystemsOdessa National Polytechnic UniversityUkraine
  4. 4.Computer ScienceCINVESTAV-IPNGuadalajaraMexico

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