Abstract
In this paper, we analyze the bit error ratio (BER) of fast frequency hopping (FFH) system with binary phase shift keying (BPSK) in high-mobility wireless channels. By taking into account partial band noise jamming and channel estimation errors as Gaussian noise, both of maximal-ratio combining (MRC) and equal-gain combining (EGC) schemes are considered, and exact analytical BER expressions for MRC and EGC schemes are obtained. Especially, a closed-form BER expression for the MRC scheme is also presented in high signal-to-noise ratio region. Analytical and simulation results demonstrate that, the FFH/BPSK schemes suffer from performance degradation in the presence of channel estimation errors. The worst case jamming factor is shown to be inversely proportional to the signal to jamming ratio. With properly designed frequency hopping schemes and channel estimation schemes, the performance improvement is also observed as compared with the traditional noncoherent FFH/BFSK system.
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