基于m-序列的跳频序列集的构造与二维相关性分析

在雷达等高速移动的通信系统中，由于传输过程中的时延和多普勒频移，在分析跳频序列的性能时，需要对其时频2维汉明相关性进行分析。线性移位寄存器序列(m-序列)具有良好的随机、平衡等性质，因此m-序列已被广泛应用到跳频序列的构造中。该文对基于m-序列的跳频序列集的时频2维汉明相关性进行分析，计算了其时频2维汉明相关值的分布；构造了具有新参数的跳频序列集。在相同多普勒频移下，新序列集的2维相关性与已有基于m-序列的跳频序列集的2维相关性相比较更稳定。

Construction and Two-dimensional Correlation Analysis of Frequency Hopping Sequences Based on m-Sequence

In the high-speed mobile communication system such as the radar, due to time delay and Doppler shift in the transmission process, it is needed to analyze Time-Frequency (TF) two-dimensional (2-D) Hamming correlation of the Frequency Hopping Sequence (FHS). Linear feedback shift register sequence (m-sequence) has good random and balance properties, so it is widely used to the construction of FHSs. In this paper, the TF 2-D Hamming correlation of FHS set constructed by m-sequence is analyzed, the distribution of its TF 2-D Hamming correlation is calculated, and an FHS set with new parameters is constructed. Under the same Doppler shift, the 2-D correlation of the new sequence set is more stable than the 2-D correlation of the existing ones.