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Partial-band jamming and multitone jamming have severe effect on acquisition of frequency-hopping (FH) signal in adverse environments. In this paper, an anti-jamming FH signal acquisition scheme based on cognitive correlation process is proposed and analyzed. The main idea of this scheme is make full use of a priori knowledge about FH speed and FH pattern. Theoretic analysis in detection probability and false probability is given to demonstrate the robust performance of the FH signal acquisition method compared to conventional acquisition scheme without any prior information on FH speed and pattern.