On the design of data hiding methods robust to lossy compression

The problem of efficient data hiding robust to lossy compression is divided into two subproblems. First is to maximize the resource - which is the permitted distortion of images. The second is the efficient use of the resource by means of sophisticated signaling techniques. We conclude that a good solution to the first problem is choosing magnitude discrete Fourier transform as the domain in which the message signal is embedded. For the signaling method we use a sophisticated signaling technique, using periodic functions to tile the space with signal constellations.