Method for Predicting the Correlation Properties of Marker Bipolar Sequences in Digital Watermarking Using the Patchwork Method

This paper develops theoretical justifications and presents simulation results confirming the key influence of spreading bipolar sequences on the correlation properties of marker (spread) bipolar sequences. This study develops a method to predict the values of the normalized autocorrelation function of the marker sequence and also specifies the conditions for obtaining accurate predictions. This article also proves the existence of a relationship between the properties and characteristics of the cross-correlation function between the target (embedded) marker sequence and the tested sequence (distorted by noise or attacks) and the properties of the autocorrelation function of the embedded marker sequence. Finally, in the concluding part of the article, the indicators and criteria of robustness of spreading and marker bipolar sequences are formulated.