A general design of orthogonal sequences with alternate periodic correlation values equal to zero

Author

Zhang, Zhenyu ; Zeng, Fanxin ; Xuan, Guixin

Author_Institution

Coll. of Commun. Eng., Chongqing Univ., Chongqing, China

fYear

2009

fDate

13-15 Nov. 2009

Firstpage

1

Lastpage

4

Abstract

Based on the interleaving technique, a general design of orthogonal sequences with alternate periodic correlation values equal to zero is proposed. The proposed sequence set can be divided into two groups. In addition to traditional orthogonal properties, the periodic auto-correlation functions (ACFs) and intra-group cross-correlation functions (CCFs) of the designed sequences take zero at any odd shift while the inter-group CCFs take zero at any even shift. As a special case of the sequences with zero correlation zone (ZCZ), the designed sequences have the fixed ZCZ widths of 1 and 2, and can achieve the theoretical bound of set size for sequence length and ZCZ width.

Keywords

correlation methods; orthogonal codes; alternate periodic correlation values; even-shift orthogonal sequence; interleaving technique; intra-group cross-correlation functions; odd-shift orthogonal sequence; orthogonal sequences; periodic auto-correlation functions; sequence design; traditional orthogonal properties; zero correlation zone; Autocorrelation; Educational institutions; Equations; Error correction codes; Interleaved codes; Multiaccess communication; Radar applications; even-shift orthogonal sequences; odd-shift orthogonal sequences; sequence design; zero correlation zone;

fLanguage

English

Publisher

ieee

Conference_Titel

Wireless Communications & Signal Processing, 2009. WCSP 2009. International Conference on

Conference_Location

Nanjing

Print_ISBN

978-1-4244-4856-2

Electronic_ISBN

978-1-4244-5668-0

Type

conf

DOI

10.1109/WCSP.2009.5371472

Filename

5371472