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The cognitive interference channel is an interference channel in which onetransmitter is non-causally provided with the message of the other transmitter.This channel model has been extensively studied in the past years and capacityresults for certain classes of channels have been proved. In this paper wepresent new inner and outer bounds for the capacity region of the cognitiveinterference channel as well as new capacity results. Previously proposed outerbounds are expressed in terms of auxiliary random variables for which nocardinality constraint is known. Consequently it is not possible to evaluatesuch outer bounds explicitly for a given channel model. The outer bound wederive is based on an idea originally devised by Sato for the broadcast channeland does not contain auxiliary random variables, allowing it to be more easilyevaluated. The inner bound we derive is the largest known to date and isexplicitly shown to include all previously proposed achievable rate regions.This comparison highlights which features of the transmission scheme - whichincludes rate-splitting, superposition coding, a broadcast channel-like binningscheme, and Gel'fand Pinsker coding - are most effective in approachingcapacity. We next present new capacity results for a class of discretememoryless channels that we term the "better cognitive decoding regime" whichincludes all previously known regimes in which capacity results have beenderived as special cases. Finally, we determine the capacity region of thesemi-deterministic cognitive interference channel, in which the signal at thecognitive receiver is a deterministic function of the channel inputs.

New inner and outer bounds for the discrete memoryless cognitive interference channel and some capacity results