跳频序列的时频二维汉明相关理论界

Time-frequency Two-dimensional Hamming-correlated Theoretical Bound of Frequency Hopping Sequence

在高速移动环境中,传输时延和频率偏移是影响跳频信号的2大因素.因此,研究在传输时延和频率偏移同时存在下的时频二维跳频序列具有重大实用价值.时频二维汉明相关函数满足的理论界是判定跳频序列性能优劣的重要准则.因此,对时频二维汉明相关函数进行了研究,并给出了关于时频二维汉明相关函数、序列个数、频隙个数、序列长度和频移范围的新理论界,证明了刘元慧的理论界以及Peng-Fan界为新理论界的特殊情况.

In high-speed mobile environment,transmission delay and frequency offset are two major factors affecting frequency hopping signal.Therefore,it is of great practical value to study the time-frequency two-dimensional frequency hopping sequence in the presence of transmission delay and frequency offset.The theoretical bound satisfied by the time-frequency two-dimensional Hamming correlation function is an important criterion to judge the performance of frequency hopping sequences.Therefore,the time-frequency two-dimensional Hamming correlation function is studied,and a new theoretical bound on the time-frequency two-dimensional Hamming correlation function,the number of sequences,the number of frequency gaps,sequence length and frequency shift range are given.It is proved that Liu Yuanhui's theoretical bound and Peng-Fan bound are special cases of new theoretical bound.