With continued scaling of technology into nanometer regimes, the impact of coupling induced delay variations is significant. While several coupling-aware static timers have been proposed, the results are often pessimistic with many false failures. We present an integrated iterative timing filtering and logic filtering based approach to reduce pessimism. We use a realistic coupling model based on arrival times and slews and show that non-iterative pessimism reduction algorithms proposed in previous research may give potentially non-conservative timing results. On a functional block from an industrial 65nm microprocessor, our algorithm produced a maximum pessimism reduction of 11.18% of cycle time over converged timing filtering analysis that does not consider logic constraints.