Title :
A formula for the capacity of the general Gel´fand-Pinsker channel
Author :
Tan, Vincent Y. F.
Author_Institution :
Inst. for Infocomm Res. (IR), A*STAR, Singapore, Singapore
Abstract :
We consider the Gel´fand-Pinsker problem in which the channel and state are general, i.e., possibly non-stationary, non-memoryless and non-ergodic. Using Verdú-Han´s information spectrum method and a non-trivial modification of Wyner´s piggyback coding lemma, we prove that the capacity can be expressed as an optimization over the difference of a spectral infand a spectral sup-mutual information rate. We consider various specializations including the case where the channel and state are memoryless but non-stationary. We then extend our result to obtain the capacity region of the general Gel´fand-Pinsker problem with rate-limited state information at the decoder.
Keywords :
channel capacity; channel coding; decoding; optimisation; Gel´fand-Pinsker channel; Verdu-Han´s information spectrum method; Wyner piggyback coding lemma; channel capacity; decoder; nontrivial modification; rate-limited state information; spectral sup-mutual information rate; Decoding; Encoding; Error probability; Information rates; Manganese; Tin; Gel´fand-Pinsker; General channel; General sources; Information spectrum method;
Conference_Titel :
Information Theory Proceedings (ISIT), 2013 IEEE International Symposium on
Conference_Location :
Istanbul
DOI :
10.1109/ISIT.2013.6620668