In accordance with the Costa theorem, the interference which is independent of the channel input and known non-causally at the transmitter, does not affect the capacity of the Gaussian channel. In some applications, the known interference depends on the input and hence has some information. In this paper, we study the channel with input dependent interference and prove a capacity theorem that not only subsumes the Costa theorem but also explains interestingly interpretable impact of correlation between side information and channel input on the capacity.
Molavi Kakhki, M., Abed Hodtani, G., & S. Anzabi-Nezhad, N. (2016). A More General Version of the Costa Theorem. Journal of Communication Engineering, 2(4), 332-350.
MLA
Mohammad Molavi Kakhki; Ghosheh Abed Hodtani; Nima S. Anzabi-Nezhad. "A More General Version of the Costa Theorem". Journal of Communication Engineering, 2, 4, 2016, 332-350.
HARVARD
Molavi Kakhki, M., Abed Hodtani, G., S. Anzabi-Nezhad, N. (2016). 'A More General Version of the Costa Theorem', Journal of Communication Engineering, 2(4), pp. 332-350.
VANCOUVER
Molavi Kakhki, M., Abed Hodtani, G., S. Anzabi-Nezhad, N. A More General Version of the Costa Theorem. Journal of Communication Engineering, 2016; 2(4): 332-350.