一类最优跳频序列族的代数构造

AN ALGEBRAIC CONSTRUCTION OF OPTIMAL FREQUENCY-HOPPING SEQUENCES SET

在通信系统中,直接序列扩频和跳频扩频是两种最主要的扩散编码技术.而在FHCDMA系统中,跳频序列被广泛使用.利用分圆法和离散对数函数,首先构造了一类具有新参数的跳频序列族,并给出了各类汉明相关值的计算公式.其次,证明了所构造的跳频序列(族)所具有的最优性.

Direct-sequence spread spectrum and frequency-hopping spread spectrum are two main spread coding technologies in communication systems. Frequency- hopping sequences are widely needed in FH-CDMA systems. Firstly, a new frequency- hopping sequences set with new parameters is constructed, the calculation formulas of all kinds of Hamming correlation values of which are given. Secondly, the proposed frequency-hopping sequences （set） are shown to be optimal.