Performance of Differential Frequency Hopping Systems in a Fading Channel with Partial-Band Noise Jamming

In this paper, an error probability analysis is performed for the differential frequency hopping (DFH) communication system in a frequency-nonselective, slowly fading channel with partial-band noise jamming. Each transmitted hop is assumed to fade independently according to a Rician process. The partial-band noise jamming is modeled as a Gaussian process. Thermal noise is neglected in the analysis. In the DFH receiver, the noncoherent square-law energy detector is combined with the Viterbi decoder to determine a soft-decision estimate of the transmitted data. The DFH bit error probability is obtained via Union-Chernoff bounds. Results show that the inherent dependence of adjacent transmitted frequencies provides good partial-band jamming rejection capability for DFH systems