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We address the problem of resource allocation (RA) for spectrum underlay in acognitive radio (CR) communication system with multiple secondary operatorssharing resource with an incumbent primary operator. The multiple secondaryoperator RA problem is well known to be especially challenging because of theinter-operator coupling constraints arising in the optimization problem, whichrender impractical inter-operator information exchange necessary. In thispaper, we consider a satellite setting for multi-operator CR. In the CRmaturation regime, i.e., the period in which the secondary subscriber densityis growing yet remains much below that of incumbent users, we show that in factthe inter-operator mutual constraints can be neglected, thus making distributed(across secondary operators) optimization possible. Furthermore, we establishanalytically that the mutual constraints asymptotically vanish with the primaryuser density.

Decentralizing Multi-Operator Cognitive Radio Resource Allocation: An Asymptotic Analysis