Performance of a Compressed Spectrum Differential Frequency Hopping Signal over Rician Fading Channel

Differential Frequency Hopping (DFH) signal can be used in the High Frequency (HF) and underwater acoustic communications because it has good resistance to multipath fading and jamming, at the same time with a high-speed data transmission capacity. However, taking into account the coding gain is limited within a finite transmission bandwidth, especially multiple Bit Per Hop (BPH), a Compressed Spectrum DFH (CS-DFH) method is proposed to increase the coding gain of DFH signal for the same BPH and bandwidth. This paper develops an upper bound on the Bit Error Rate (BER) of CS-DFH signal in Rician channel, and its tightness is proved by simulations. For the same BPH and bandwidth, the results indicate that the CS-DFH is an efficient mean for obtaining higher coding gain than the existing DFH over the Rician channel, especially when the Rician factor K is small.