The application of fountain code in differential frequency hopping systems

Based on the anti-jamming performance of differential frequency hopping (DFH) systems in Additive White Gaussian Noise (AWGN) channel, Fountain code is introduced to the DFH systems as the outer error correcting code in this paper to investigate the improvements against partial-band jamming over AWGN channel. The performance of Fountain coded DFH is theoretically analyzed and numerically simulated. The total frequencies of hopping in the simulation is 16, and results show that, on one hand, when exact jamming state information (JSI) is available, and the number of jamming frequency is n=16, the bit error rate (BER) of 10^-3 is achieved with the signal to interference ratio (SIR) approximately 7.5 dB over AWGN channel, and the performance improves about 1-1.5dB compared with the no-coded system. When the number of jamming frequency is n=2, the performance increases 15-17dB. The anti-jamming performance of Fountain coded DFH systems is obviously superior to no-coded DFH systems.