This　paper　investigates　the　effect　of　imperfect　channel　state　information　(CSI)　on　the　performance　of　radio　resource　management　for　the　uplink　OFDMA　system.　First,　we　prove　that　the　imperfect　CSI　introduces　a　constellation-point　dependent　and　error-floor　symbol　error　rate　(SER),　which　correspondingly　yields　the　nonconvex　and　nondifferentiable　throughput　function　in　real　communication　systems.　Then,　in　the　uplink　OFDMA　system,　a　bisection　algorithm　and　BA-based　algorithm　are　proposed　for　single-user　and　multi-user　cases,　respectively,　for　the　adaptive　resource　allocation　to　minimize　the　total　transmit　power.　©　2015　IEEE.