Properties and crosscorrelation of decimated sidelnikov sequences

Young Tae Kim, Min Kyu Song, Dae San Kim, Hong Yeop Song

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

In this paper, we show that if the d-decimation of a (q-1)- ary Sidelnikov sequence of period q - 1 = pm - 1 is the d-multiple of the same Sidelnikov sequence, then d must be a power of a prime p. Also,we calculate the crosscorrelation magnitude between some constant multiples of d- and d′-decimations of a Sidelnikov sequence of period q - 1 to be upper bounded by (d + d′ - 1) √q + 3.

Original languageEnglish
Pages (from-to)2562-2566
Number of pages5
JournalIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
VolumeE97A
Issue number12
DOIs
Publication statusPublished - 2014 Dec 1

Fingerprint

Cross-correlation
Decimation
p.m.
Calculate

All Science Journal Classification (ASJC) codes

  • Signal Processing
  • Computer Graphics and Computer-Aided Design
  • Electrical and Electronic Engineering
  • Applied Mathematics

Cite this

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Properties and crosscorrelation of decimated sidelnikov sequences. / Kim, Young Tae; Song, Min Kyu; Kim, Dae San; Song, Hong Yeop.

In: IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, Vol. E97A, No. 12, 01.12.2014, p. 2562-2566.

Research output: Contribution to journalArticle

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AB - In this paper, we show that if the d-decimation of a (q-1)- ary Sidelnikov sequence of period q - 1 = pm - 1 is the d-multiple of the same Sidelnikov sequence, then d must be a power of a prime p. Also,we calculate the crosscorrelation magnitude between some constant multiples of d- and d′-decimations of a Sidelnikov sequence of period q - 1 to be upper bounded by (d + d′ - 1) √q + 3.

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