On correlation values of M-phase spreading sequences of Markov chains

Author

Fujisaki, Hiroshi

Author_Institution

Graduate Sch. of Natural Sci. & Technol., Kanazawa Univ., Ishikawa, Japan

Volume

49

Issue

12

fYear

2002

fDate

12/1/2002 12:00:00 AM

Firstpage

1745

Lastpage

1750

Abstract

There has recently been intense interest in spreading sequences of Markov chains. It is experimentally found that the autocorrelation values of M-phase spreading sequences of some Markov chains always take real numbers. In this paper, we theoretically give a necessary and sufficient condition that the autocorrelation values of M-phase spreading sequences of Markov chains always take real numbers. We also discuss time synchronization using these sequences.

Keywords

Markov processes; correlation theory; multi-access systems; pseudonoise codes; random sequences; spread spectrum communication; synchronisation; M-phase spreading sequences; Markov chains; asynchronous SSMA communication systems; autocorrelation values; correlation values; necessary sufficient condition; pseudonoise codes; real numbers; spread-spectrum multiple-access communication systems; time synchronization; Autocorrelation; Binary sequences; Chebyshev approximation; Communication systems; Feedback; Gold; Logistics; Piecewise linear techniques; Sufficient conditions; Vectors;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/TCSI.2002.805703

Filename

1159106