On optimal detection for matrix multiplicative data hiding

  • Authors:
  • Babak Moussakhani;Mohammad Ali Sedaghat;John T. Flam;Tor Ramstad

  • Affiliations:
  • NTNU, Trondheim, Norway;NTNU, Trondheim, Norway;NTNU, Trondheim, Norway;NTNU, Trondheim, Norway

  • Venue:
  • Proceedings of the first ACM workshop on Information hiding and multimedia security
  • Year:
  • 2013

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Abstract

This paper analyzes a multiplicative data hiding scheme, where the watermark bits are embedded within frames of a Gaussian host signal by two different, but arbitrary, embedding matrices. A closed form expression for the bit error rate (BER) of the optimal detector is derived when the frame sizes tend to infinity. Furthermore, a structure is proposed for the optimal detector which divides the detection process into two main blocks: host signal estimation and decision making. The proposed structure preserves optimality, and allows for a great deal of flexibility: The estimator can be selected according to the a priori knowledge about host signal. For example, if the host signal is an Auto-Regressive (AR) process, we argue that a Kalman filter may serve as the estimator. Compared to a direct implementation of the Neyman-Pearson detector, this approach results in significantly reduced complexity while keeping optimal performance.