Information Embedding with Distortion Side Information

We use the distortion side information (DSI) framework to study the gains in information embedding when the encoder exploits sensitivity of the source samples. Our study for the Gaussian source model extends the dirty paper coding result by Costa to the case of a weighted power constraint with the weights only known to the transmitter. A coding scheme based on fixed codebook variable-partition codes is presented for this problem. We also present another coding scheme that exploits the knowledge of DSI and is robust against intentional attacks. Finally, we study a related problem of Wyner-Ziv coding with reliability side information (RSI) at the decoder. This latter setup illustrates that fixed codebook variable-partition codes could also be fundamental in systems that rely on conventional distortion measures