Shared Autocorrelation Property of Sequences

Author

Bodea, Corneliu ; Copos, Calina ; Der, Matt ; Neal, David O. ; Davis, James A.

Author_Institution

Dept. of Math. & Comput. Sci., Univ. of Richmond, Richmond, VA, USA

Volume

57

Issue

6

fYear

2011

fDate

6/1/2011 12:00:00 AM

Firstpage

3805

Lastpage

3809

Abstract

Due to the low peak-to-mean envelope power ratio (PMEPR) of Golay sequences together with their connection to generalized Reed-Muller codes, many authors have proposed using Golay sequences as codewords in orthogonal frequency-division multiplexing (OFDM). Golay sequences that unexpectedly share the same aperiodic autocorrelation function can be used to construct longer Golay sequences. We study the shared autocorrelation property of general sequences with the ultimate goal of using those results to find other low power sequences. In this paper, we provide several new constructions of families of pairs of sequences with the shared autocorrelation property that enable us to explain nearly all of the binary shared autocorrelation property for sequences of lengths up to 24.

Keywords

Golay codes; OFDM modulation; Reed-Muller codes; sequences; Golay sequences; Reed-Muller codes; orthogonal frequency-division multiplexing; peak-to-mean envelope power ratio; shared autocorrelation property; Computers; Correlation; OFDM; Polynomials; Power control; Tensile stress; Aperiodic autocorrelation function; Golay sequence; quaternary; shared autocorrelation property;

fLanguage

English

Journal_Title

Information Theory, IEEE Transactions on

Publisher

ieee

ISSN

0018-9448

Type

jour

DOI

10.1109/TIT.2011.2136250

Filename

5773018