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Several Families of Sequences with Low Correlation and Large Linear Span
Fanxin ZENG Zhenyu ZHANG
Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Vol.E91A
No.8
pp.22632268 Publication Date: 2008/08/01
Online ISSN: 17451337
DOI: 10.1093/ietfec/e91a.8.2263
Print ISSN: 09168508 Type of Manuscript: LETTER Category: Information Theory Keyword: sequence, low correlation, linear span, Nihotype decimation, DSCDMA/UWB,
Full Text: PDF>>
Summary:
In DSCDMA systems and DSUWB 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 Tr_{1}^{m}[Tr_{m}^{n}(α^{bt}+γ_{i}α^{dt})]^{r} for generating pary sequences of period p^{n}1, where n=2m, d=up^{m} v, b=u v, γ_{i} GF(p^{n}), and p is an arbitrary prime number, several methods to choose the parameter d are provided. The obtained sequences with family size p^{n} are of fourvalued, fivevalued, sixvalued or sevenvalued correlation and the maximum nontrivial correlation value is (u+v1)p^{m}1. The simulation by a computer shows that the linear span of the new sequences is larger than that of the sequences with Nihotype and Welchtype decimations, and similar to that of [10].

