On PPM sequences with good autocorrelation properties

Author

Georghiades, Costas N.

Author_Institution

Dept. of Electr. Eng., Texas A&M Univ., College Station, TX, USA

Volume

34

Issue

3

fYear

1988

fDate

5/1/1988 12:00:00 AM

Firstpage

571

Lastpage

576

Abstract

The problem of designing sequences of Q-ary pulse-position-modulation (PPM) symbols that have good periodic autocorrelation properties is investigated. Two cases are considered. In the first it is assumed that only slot synchronization is present and thus cyclic shifts are one slot at a time; in the second PPM symbol synchronization is present, in which case cyclic shifts are by one symbol (Q slots) at a time. In both cases, upper bounds are derived on the maximum peak-to-sidelobe distance, which are shown through a computer search to be nearly tight. When symbol synchronization is present, the bound reduces to the Plotkin bound, but it is slightly tighter in general

Keywords

pulse position modulation; synchronisation; PPM sequences; Plotkin bound; Q-ary pulse position modulation symbols; autocorrelation properties; cyclic shifts; maximum peak-to-sidelobe distance; slot synchronization; symbol synchronization; upper bounds; Autocorrelation; Boolean functions; Communications technology; Cryptography; Laboratories; Microelectronics; Propulsion; Random variables;

fLanguage

English

Journal_Title

Information Theory, IEEE Transactions on

Publisher

ieee

ISSN

0018-9448

Type

jour

DOI

10.1109/18.6038

Filename

6038