A Class of Zero-Correlation Zone Sequence Set Using a Perfect Sequence

Author

Hayashi, Takafumi

Author_Institution

Comput. Sci. Div., Univ. of Aizu, Aizu-Wakamatsu

Volume

16

Issue

4

fYear

2009

fDate

4/1/2009 12:00:00 AM

Firstpage

331

Lastpage

334

Abstract

This letter introduces a novel method of sequence construction having a zero-correlation zone. The cross-correlation function and the side-lobe of the auto-correlation function of the proposed sequence set is zero for the phase shifts within the zero-correlation zone. The proposed zero-correlation zone sequence set can be generated from an arbitrary perfect ternary sequence, the length of which is the product of a pair of odd integers ( (2k+1)(2n+1) for k ges 1 and n ges 0). The width of the zero-correlation zone of the proposed sequence set can be longer than the length of the perfect sequence that is used for constructing the proposed sequence set. The proposed sequence construction can generate an optimal zero-correlation zone sequence set that satisfies the theoretical bound of the sequence member size for the zero-correlation zone and the sequence period.

Keywords

correlation methods; sequences; set theory; arbitrary perfect ternary sequence; auto-correlation function; cross-correlation function; odd integer; optimal zero-correlation zone sequence set; perfect sequence construction; phase shift; sequence member size; Autocorrelation; Cities and towns; Communication systems; Computer science; Equations; Radar applications; Radar detection; Radar imaging; Radar theory; Ultrasonic imaging; CDMA communication; optimal zero-correlation zone sequence; perfect sequence; zero-correlation zone;

fLanguage

English

Journal_Title

Signal Processing Letters, IEEE

Publisher

ieee

ISSN

1070-9908

Type

jour

DOI

10.1109/LSP.2009.2014115

Filename

4799248