基于笛卡尔积构造时频二维部分周期低碰撞区跳频序列集

Constructing time-frequency two-dimensional partially periodic low hit zone frequency hopping sequence based on Cartesian product

为了控制跳频通信系统中时延和多普勒频移引起的信号传输错误,提出序列时频移位不等价概念和基于笛卡尔积数学理论构造长度更长、数量更多的时频二维部分周期低碰撞区跳频序列集的方法。通过定义频域非周期移位时频二维部分周期Hamming相关函数对得到的笛卡尔积跳频序列集进行了分析。给出具有时频移位不等价性质的一类Cai跳频序列集并对其进行了频域非周期移位的时频二维部分周期Hamming相关性分析。

In order to control the signal transmission errors caused by time delay and Doppler shift in frequency hopping communication system, the concept of time-frequency shift unequivalence of sequence and the method of constructing time-frequency two-dimensional partially periodic low hit zone frequency hopping sequences with longer length and more number based on Cartesian product theory are proposed.The Cartesian product frequency hopping sequence set is analyzed by defining the time-frequency two-dimensional partial periodic Hamming correlation function of aperiodic shift in frequency domain.A class of Cai frequency hopping sequence sets with time-frequency shift unequivalence is given and the time-frequency two-dimensional partial periodic Hamming correlation analysis of aperiodic shift in frequency domain is carried out.