By Husrev T Sencar; Ramkumar Mahalingam.; Ali N Akansu
Cutting-edge assurance of electronic content material defense strategies! Preliminaries; Contents; 1. creation; 2. Frameworks for facts Hiding; three. verbal exchange with aspect details and knowledge Hiding; four. sort I (Linear) facts Hiding; five. style II and kind III (Nonlinear) info Hiding equipment; 6. complex Implementations; 7. significant layout concerns; eight. information Hiding purposes; Appendices; Bibliography; Index
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It should be noted that in order to achieve capacity, Xt is a linear function of X. Therefore, the codeword √ Xn is readily obtained from the encoder output X by the relation Xn = ( P/σX )X. On the decoder side, the sent message is decoded as the index of the bin that contains the U sequence, which is jointly typical with the received signal Y. 19) 34 CHAPTER 3 Communication with Side Information and Data Hiding where E[XXt ] = σX∗ σX∗t , Eq. 10) for ρ = 1, is used. The cancellation of the terms in Eq.
The ﬁrst modiﬁcation is by redeﬁning the channel input as Xn = X − Xt . We refer to Xt as the “processing distortion,” since it is by nature a “disturbance” to encoder output X. The processing distortion Xt may be a function of the encoder output X, and the nonzero correlation between X and Xt is denoted by ρ. Also, Xt , like X, is iid and independent of C. , N1 Xn 2 ≤ P. Consequently, the received signal at the decoder is expressed as Y = Xn + C + Z. The second modiﬁcation is by designing the shared variable as U = X + C, where the α value employed in codebook generation is set to 1 regardless of the channel’s noise level.
The preceding results show that the optimal codebook design in Costa’s framework based on a particular α ∗ can be equivalently achieved in the CAE-CID framework with the corresponding σX∗ when ρ = 1. Therefore, the two frameworks √ are equivalent, and they can be translated into each other through σX∗ = P/α ∗ at the same transmission rate. The corresponding channel model for the proposed CAE-CID framework is displayed in Fig. 3-2. When compared with Fig. 3-1, the main difference is that α dependency of the (E, D) pair is replaced by the inclusion of Xt generated by the processing P at the encoder.