
周期为合数长屏蔽二元互补序列偶构造方法研究
Study on the Construction Method of Punctured Binary Complementary Sequence Pairs with Composite Length
互补序列应用于多载波码分多址系统因理论上可同时消除多径干扰和多址干扰而备受关注.基于中国剩余定理,本文提出一种周期为合数长的屏蔽二元互补序列偶的构造方法.构造得到的屏蔽二元互补序列偶可扩展互补序列的存在范围.为了进一步研究屏蔽二元互补序列偶,本文提出一种新的区组设计——屏蔽差族偶,并将屏蔽差族偶与屏蔽二元互补序列偶建立了等价关系,为应用屏蔽差族偶这一新的区组设计研究屏蔽二元互补序列偶提供了理论依据.
Complementary sequences (CSs) have attracted more attention in application of multicarrier code-division multiple-access (MC-CDMA) communication system since they are able to remove multipath interference (MPI) and multi-access interference (MAI). Based on Chinese reminder theorem, a construction method of punctured binary complementary sequence pairs (PBCSPs) with composite length has been proposed. This result can greatly extend the range of complementary sequence. To further study PBCSPs, we present a new block design—punctured difference family pair (PDFP), and establish the equivalent relationship between PDFP and PBCSPs, which provides a theoretical basis for the study of PBCSPs by using the new block design of PDFP.
多载波码分多址 / 屏蔽序列 / 屏蔽二元互补序列偶 / 屏蔽差族偶 {{custom_keyword}} /
MC-CDMA / punctured sequence / punctured binary complementary sequence pairs / punctured difference family pair {{custom_keyword}} /
表1 |
| | | | |
---|---|---|---|---|
{1,2,4,5, 7,8,10,11, 13,14,16,17, 19,20,22,23} | 6 | 2 | 4 | 4 |
{3,21} | 10 | 2 | 2 | 2 |
{6,9,12,15,18} | 8 | 0 | 4 | 4 |
表2 已有周期二元互补序列对长度与本文可得二元互补序列偶对长度对比(100以内) |
PCS[4] | 2, 4, 8, 10, 16, 20, 26, 32, 34,40, 50, 52, 58, 64, 68, 72, 74, 80, 82 |
---|---|
定理2 | 6,12,14,22,24,28,30,38,44,46,48, 56,60,62,70,76,78,86,88,92,94,96 |
定理3 | 10,20,26,34,40,52,58,68,74,80,82,98 |
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