基于有符号移位序列的零相关区互补序列集交织构造方法

提出有符号的移位序列,将移位序列分为移位和符号两部分,并基于此提出一种零相关区互补序列集的交织构造方法.该方法利用完备互补序列对作为初始序列,根据初始序列与移位序列长度的关系分2种情况构造移位序列.第1种情况,二者长度互素,分析并证明移位序列中未引入与引入1个、2个负号后新序列对相关函数的分布情况,提出当移位序列长度为3时,获得完备互补序列集的方法;第2种情况,移位序列长度被初始序列长度整除,当移位序列长度为偶数时,提出获得完备互补序列集的方法.实例仿真证明了以上构造的有效性.

Interleaving construction method of zero correlation zone complementary sequence set based on signed shift sequence

Signed shift sequence which constitutes of shift and sign is derived and based on which an interleaving construction method of zero correlation zone (ZCZ) complementary sequence set is proposed in this paper. It employs complete complementary sequence pair as the original sequence and designs shift sequences for two different situations according to the lengths of the original sequence and the shift sequence. In the former''the lengths are coprime; the distribution of the correlation function when shift sequence has no negative; one negative and two negatives are analyzed and validated and a complete complementary sequence set construction method is derived as the length of the shift sequence is 3. In the latter, the length of the original sequence is dividable by the length of the shift sequence ; when the length of the shift sequence is even, a complete complementary sequence set construction method is derived. Example simulation validates the effectiveness of the construction.