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A class of state-dependent parallel networks with a common state-cognitivehelper, in which $K$ transmitters wish to send $K$ messages to theircorresponding receivers over $K$ state-corrupted parallel channels, and ahelper who knows the state information noncausally wishes to assist thesereceivers to cancel state interference. Furthermore, the helper also has itsown message to be sent simultaneously to its corresponding receiver. Since thestate information is known only to the helper, but not to the correspondingtransmitters $1,\dots,K$, transmitter-side state cognition and receiver-sidestate interference are mismatched. Our focus is on the high state power regime,i.e., the state power goes to infinity. Three (sub)models are studied. Model Iserves as a basic model, which consists of only one transmitter-receiver (withstate corruption) pair in addition to a helper that assists the receiver tocancel state in addition to transmitting its own message. Model II consists oftwo transmitter-receiver pairs in addition to a helper, and only one receiveris interfered by a state sequence. Model III generalizes model I includemultiple transmitter-receiver pairs with each receiver corrupted by independentstate. For all models, inner and outer bounds on the capacity region arederived, and comparison of the two bounds leads to characterization of eitherfull or partial boundary of the capacity region under various channelparameters.

Parallel Gaussian Networks with a Common State-Cognitive Helper