Watermarking Parameters Feasible Region Model

In this paper, the effectiveness and the parameters space of the public watermark algorithm based on modulus of congruence are considered, and the model of the watermark effectiveness feasible region is proposed. The main contributions of the paper are as follows: (1) by distinction parameter, the relations of embedding, extracting watermark and distinction parameter are established, and the necessary and sufficient conditions of lossless watermark detecting or extracting and its parameters feasible region are presented, (2) by parameters feasible region, the control conditions of the watermark robustness and fragileness are given, and the optimality of distinction parameter of the algorithm is proved, (3) under Gaussian noises attack, the mathematical model of the relations of the lossy watermark BER (bit error rate), attack strength and embedding strength is proposed