中文摘要：

多普勒频移对现代扩频通信系统性能有着重要影响,设计跳频序列时需考虑具有时延和多普勒频移情形下序列的相关性。研究了跳频序列集时频最大周期汉明相关值的理论界,计算了Cai跳频序列集的时频二维周期汉明相关值,用该理论界检验了这类跳频序列集的二维周期汉明相关值,并进一步得到了部分达到最优的跳频序列;最后对多项式同余跳频序列集的二维周期汉明相关值进行了分析。

英文摘要：

Doppler frequency shift has an important influence on modern spread spectrum communication systems,and correlations with time delay and Doppler frequency shift should be considered when designing frequency hopping sequence（FHS）.The theoretical limit to time-frequency two-dimensional（2D）Hamming correlation of FHS is studied.The time-frequency 2D Hamming correlation of Cai FHS sets is calculated.Under the guidance of the theoretic bound,the 2DHamming correlations of Cai FHS sets are discussed and some optimal FHSs are obtained.Finally,the 2D Hamming correlations of polynomial FHS sets are analyzed.