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The authors consider a wireless communication network with a fixed number u of frequency sub-bands to be shared among N transmitter-receiver pairs. In traditional Frequency Division (FD) systems, the available band is partitioned into disjoint clusters (frequency sub-bands) and assigned to different users (each user transmits only in its own cluster). If the number of users sharing the spectrum is random, this technique may lead to inefficient spectrum utilization (a considerable fraction of the sub-bands may remain empty most of the time). In addition, this approach inherently requires either a central network controller for frequency allocation, or cognitive radios which sense and occupy the empty sub-bands in a dynamic fashion.
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