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A new AFC algorithm is presented in this paper for correcting the sizable carrier frequency offset of a fully-digital MDPSK DSXDMA receiver, which explores the power degradation at the correlator output and has an acquisition range of twice the symbol rate. To achieve fast frequency acquisition, the momentum steepest descent method and modified S-curve are employed in the algorithm. The simplicity of the algorithm makes it desirable for VLSI implementation. The performance of the proposedfatcat:wefoc4jzknaszdx2caravcl754