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A class of cognitive interference channel with state is investigated, inwhich two transmitters (transmitters 1 and 2) communicate with two receivers(receivers 1 and 2) over an interference channel. The two transmitters jointlytransmit a common message to the two receivers, and transmitter 2 also sends aseparate message to receiver 2. The channel is corrupted by an independent andidentically distributed (i.i.d.) state sequence. The scenario in which thestate sequence is noncausally known only at transmitter 2 is first studied. Forthe discrete memoryless channel and its degraded version, inner and outerbounds on the capacity region are obtained. The capacity region ischaracterized for the degraded semideterministic channel and channels thatsatisfy a less noisy condition. The Gaussian channels are further studied,which are partitioned into two cases based on how the interference compareswith the signal at receiver 1. For each case, inner and outer bounds on thecapacity region are derived, and partial boundary of the capacity region ischaracterized. The full capacity region is characterized for channels thatsatisfy certain conditions. The second scenario in which the state sequence isnoncausally known at both transmitter 2 and receiver 2 is further studied. Thecapacity region is obtained for both the discrete memoryless and Gaussianchannels. It is also shown that this capacity is achieved by certain Gaussianchannels with state noncausally known only at transmitter 2.

Bounds and Capacity Theorems for Cognitive Interference Channels with State