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Performance of a Compressed Spectrum Differential Frequency Hopping System over Rayleigh Fading Channels

Differential frequency hopping (DFH) has been used in military communication system, because it provides both good resistance to jamming and high-speed data transmission. However, taking into account the coding gain is limited within a finite transmission bandwidth, especially multiple bits per hop, a compressed spectrum DFH (CS-DFH) system is proposed in this paper. We develop an upper bound on the bit error rate (BER) of CS-DFH system in Rayleigh fading channels, and its tightness is proved by simulations. Numerical and simulation results demonstrate that CS-DFH improves performance by improving the coding redundancy, compared with the existing DFH techniques, for the same bits per hop (BPH) and bandwidth.