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This paper aims to address the problem of inter-cell interference fluctuation, which is inherent on the uplink direction of future cellular systems employing OFDMA or single carrier as multiple access technology. We present here a novel uplink adaptive resource allocation algorithm based on inter-cell interference measurement to achieve both multi-user diversity gain and the cancellation of inter-cell interference fluctuation. The phenomenon of inter-cell interference fluctuation in future cellular systems is explained and its negative effect on traditional resource allocation methods is analyzed. The proposed algorithm includes two independent sub-algorithms: 1) user grouping based resource allocation scheme, in which radio resource is limited to be reallocated within a group of users generating close inter-cell interference; 2) power compensation based resource allocation scheme, in which inter-cell interference fluctuation is compensated by adjusting transmitting power of UE. And performance evaluation results show that our algorithms smooth the inter-cell interference successfully and can improve system spectrum efficiency by 10-15% compared with existing traditional adaptive resource allocation schemes.