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We consider blind equalization and carrier recovery under high-order QAM modulation, which presents more difficult operating requirements than lower-order QAM modulation. We base our design on two stages: The first is the LTE-CMA and the second is the DFE-MMA. To attain large carrier acquisition range and fast carrier recovery we first use LTE-CMA. And after that we switch to DFE-MMA to get a better blind equalization performance to combat ISI. Simulation results demonstrate the effectiveness of the proposed scheme compared with the one-stage DFE-MMA scheme.