Information Rates Subject to State Masking

• Published in: IEEE transactions on information theory Vol. 53; no. 6; pp. 2254 - 2261
• Main Authors: Merhav, N., Shamai, S.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.06.2007; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Applied sciences; Binning; Broadcasting; causal side information; Channel coding; Channels; Coding; Coding standards; Coding, codes; Decoding; dirty- paper channel; Electronics; equivocation; Exact sciences and technology; Gaussian; Gaussian channels; Gel'fand-Pinsker channel; Information rates; Information systems; Information technology; Information theory; Information, signal and communications theory; Masking; MIMO; Mutual information; noncausal side information; Radiocommunications; secrecy; Secret; Signal and communications theory; Source coding; Systems, networks and services of telecommunications; Telecommunications; Telecommunications and information theory; Transmitters; Transmitters. Receivers; Watermarking; noncausal side information; Information rate; Transmitter; causal side information; Channel coding; Information transmission; equivocation; dirty- paper channel; Binning; Gel'fand-Pinsker channel; Masking; Causality; Secrecy; Mutual information
• ISSN: 0018-9448; 1557-9654
• DOI: 10.1109/TIT.2007.896860

We consider the problem of rate-R, channel coding with causal/noncausal side information at the transmitter, under an additional requirement of minimizing the amount of information that can be learned from the channel output about the state sequence, which is defined in terms of the mutual information between the state sequence and the channel output sequence. A single-letter characterization is provided for the achievable region of pairs {(R, E)}. Explicit results for the Gaussian case (Costa's dirty-paper channel) are derived in full detail.