具有最佳汉明相关性能的跳频序列族

在非正交跳频扩展频谱多址通信系统中用作跳频图样的P~k进制序列族要求具有小的汉明互相关。文[1]中得到了给定长度和字母表大小的序列的异相自相关及互相关的下限,并构造了具有最佳汉明相关性能的序列族。本文中提出一种更一般的构造方法,文[1]的构造是它的一个特例。构造出的序列族具有最佳汉明相关性能,并且可部分解决Hop—and—Stay问题。

Families of Frequency-Hopping Sequences with Optimal Hamming Correlation Properties

Families of p~k-ary sequences with small Hamming crosscorrelation arerequired for hopping patterns in asynchronous frequency-hopping spread-spectrum multiple-access communication systems. Lower bounds on the out-of-phase auto correlation and on the crosscorrelation of sequences of given lengthand alphabet size are derived in [1], and a method of constructing families ofsequences that uniformly realize these bounds is presented as well. In thispaper, a commonest method of constructing families of frequencyhoppingsequences with optimal Hamming correlation properties is presented, taking themethod in [1] as its special case. By driving the frequency synthesizer from kinconsecutive stages Tather than from k consecutive stages, we can partiallysolve the Hop-and-Stay problem existing in [1].