Dither modulation with distortion compensation is a quantization watermarking algorithm that can achieve high capacity

and it uses the quantization error as the compensation to improve the performances of dither modulation

while the compensation factor is one of the key factors that affect its performances.This paper establishes a common model measuring the robustness of the algorithm from the principle of the minimum distance decoder in quantization watermarking algorithms.Then

this paper uses rate distortion theory to model the lossy compression channel

and obtains the method that can get the minimum bit error rate under lossy compression.The theoretical result shows that the larger the compression strength is

the smaller the compensation factor should be.The experimental result confirms the validity of the theoretical result.