中文摘要：

差分跳频系统能实现高速数据传输。G函数有机的将跳频控制与调制相结合,是差分跳频系统中的一项关键技术。传统差分跳频G函数的最小自由距离受限于跳频频点个数,若要改善系统性能,必须增大系统带宽;提出了一种新型差分跳频G函数,该G函数的最小自由距离不再受跳频点个数的限制,给出了一种构造该G函数的方法,并对其最小自由距离进行了分析,结果表明,它能增大G函数的最小自由距离。给出了该类型G函数在Nakagami-m衰落信道模型下的理论误码率界及仿真验证。最后在Nakagami-m衰落信道下对其进行了性能仿真,结果表明它能提高差分跳频通信系统性能。

英文摘要：

Differential frequency hopping（DFH） is a kind of system for reliable high data rate transmission.The frequency transition function which combines frequency hopping pattern controlling and modulation is one of the key technologies in DFH.The free distance of traditional frequency transition function is confined to the number of fre-quencies in the hopping pattern.The improvement of the system performance is at the price of system band.In this pa-per,an innovative frequency transition function is proposed.The free distance of the new frequency transition function was analyzed and it is no longer confined to the frequency number.The upper bound of bit-error-rate over Nakagami-m channels was analyzed and validated by simulation.Meanwhile the performance comparison between the improved frequency transition function and the traditional one was investigated by simulation which shows that considerable im-provement can be achieved.