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In this paper, a partial-band jamming suppression algorithm is proposed for a slow frequency hopping system with continuous phase modulation (CPM). The algorithm is based on a non-coherent iterative maximum a posteriori (MAP) detection and the jamming state information (JSI) estimation. The simulation results demonstrate that the algorithm performs well for the partial-band jamming suppression. Moreover, the differences of the performance due to varieties of demodulation parameters are discussed.