By Trappe, Wu, Liu
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19] D. Kirovski, H. Malvar, and Y. Yacobi, “A dual watermarking and ﬁngerprinting system,” Tech. Rep. MSR-TR-2001-57, Microsoft Research Laboratories, 2001.  M. Wu and B. Liu, “Modulation and multiplexing techniques for multimedia data hiding,” in Proc. of SPIE ITcom’01, SPIE vol 4518, Aug. 2001.  M. D. thesis, Princeton University, 2001.  H. V. Poor, An Introduction to Signal Detection and Estimation, Springer Verlag, 2nd edition, 1994.  M. Wu, H. Yu, and A. Gelman, “Multi-level data hiding for digital image and video,” in Proceedings of SPIE, Photonics East Conference on Multimedia Systems and Applications, 1999, vol.
At the initial calling of Algorithm 1, two correlations are performed to calculate ρ0 and ρ1 . We expand the left side of the tree when the statistic ρ0 is greater than the threshold. This occurs with probability PD , and incurs 2PD correlations to the total. On the other hand, the right hand side of the tree will be expanded with probability PF A,1 , where PF A,b represents the probability of false alarm for a node and the binary representation describing the path from the root to this node is b.
32] D. Z. Du and H. Park, “On competitive group testing,” SIAM Journal of Computing, vol. 23, pp. 1019–1025, Oct. 1994.  J. Dittmann, P. Schmitt, E. Saar, J. Schwenk, and J. Ueberberg, “Combining digital watermarks and collusion secure ﬁngerprints for digital images,” SPIE Journal of Electronic Imaging, vol. 9, pp. 456–467, 2000.  T. W. Hungerford, Algebra, Springer-Verlag, 1974.  J. H. Dinitz and D. R. Stinson, Contemporary Design Theory: A Collection of Surveys, John Wiley and Sons, 1992.