The game of embedding and detecting spread spectrum watermarks under the estimation attack

We show the theory behind the interaction of parameters involved in the game of marking and detecting direct sequence spread-spectrum (SS) watermarks (WM) under the assumption that the WM estimation attack is carried out prior to WM detection. As an important contribution, we define a modification to the traditional SS WM detector that enforces the adversary to add amount of noise proportional in amplitude to the recorded signal in order to successfully remove a SS WM.