Most current image watermarking schemes determine the detection threshold in experience

and test the algorithm performance only by experimental results.In this paper

we analyzed the stochastic process models of image and watermark

present the statistical property of watermark correlation detection

and describe the connection of watermark energy

decision variable and watermark correlator.Probabilities of incorrect detections are expressed in terms of watermark-to-image power ratio statistical properties.With the result of this paper

we can determine the watermark energy given the permitted bit error rate

and adaptively determine the threshold of the corrupted watermarked images.