The search functionality is under construction.
The search functionality is under construction.

Several Families of Sequences with Low Correlation and Large Linear Span

Fanxin ZENG, Zhenyu ZHANG

  • Full Text Views

    0

  • Cite this

Summary :

In DS-CDMA systems and DS-UWB radios, low correlation of spreading sequences can greatly help to minimize multiple access interference (MAI) and large linear span of spreading sequences can reduce their predictability. In this letter, new sequence sets with low correlation and large linear span are proposed. Based on the construction Tr1m[Trmnbtiαdt)]r for generating p-ary sequences of period pn-1, where n=2m, d=upm v, b=u v, γi GF(pn), and p is an arbitrary prime number, several methods to choose the parameter d are provided. The obtained sequences with family size pn are of four-valued, five-valued, six-valued or seven-valued correlation and the maximum nontrivial correlation value is (u+v-1)pm-1. The simulation by a computer shows that the linear span of the new sequences is larger than that of the sequences with Niho-type and Welch-type decimations, and similar to that of [10].

Publication
IEICE TRANSACTIONS on Fundamentals Vol.E91-A No.8 pp.2263-2268
Publication Date
2008/08/01
Publicized
Online ISSN
1745-1337
DOI
10.1093/ietfec/e91-a.8.2263
Type of Manuscript
LETTER
Category
Information Theory

Authors

Keyword