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In cognitive multiple access networks, feedback is an important mechanism toconvey secondary transmitter primary base station (STPB) channel gains from theprimary base station (PBS) to the secondary base station (SBS). This paperinvestigates the optimal sum-rate capacity scaling laws for cognitive multipleaccess networks in feedback limited communication scenarios. First, anefficient feedback protocol called $K$-smallest channel gains ($K$-SCGs)feedback protocol is proposed in which the PBS feeds back the $\K$ smallest outof $N$ STPB channel gains to the SBS. Second, the sum-rate performance of the$K$-SCG feedback protocol is studied for three network types when transmissionpowers of secondary users (SUs) are optimally allocated. The network typesconsidered are total-power-and-interference-limited (TPIL),interference-limited (IL) and individual-power-and-interference-limited (IPIL)networks. For each network type studied, we provide a sufficient condition on$\K$ such that the $K$-SCG feedback protocol is {\em asymptotically} optimal inthe sense that the secondary network sum-rate scaling behavior under the$K$-SCG feedback protocol is the same with that under the full-feedbackprotocol. We allow distributions ofsecondary-transmitter-secondary-base-station (STSB), and STPB channel powergains to belong to a fairly general class of distributions called class$\mathcal{C}$-distributions that includes commonly used fading models.

Multiuser Diversity for the Cognitive Uplink with Generalized Fading and Reduced Primary's Cooperation