Mathematical formula of performance of watermarking system with repetition of bits of watermark

Abstract

The performance of a watermarking system depends on all of its factors, such as watermark embedding strength, size of watermark and repetition of watermark bits. In this paper, a mathematical formula is designed, that governs the relation of performance of watermarking system with amount of the repetition of watermark bits. Performance of the watermarking system is measured by using the extracted watermark bit accuracy rate. The designed formula is verified experimentally. A spatial domain watermarking scheme is used for experimental verification. Further, verification is done for different kind of attacks such as cropping, Gaussian filter, Gaussian noise and salt & pepper noise. Accuracy rate by using the mathematical formula and experimental observations are very near. This supports that the designed mathematical formula is reliable.