Shared Autocorrelation Property of Sequences | IEEE Journals & Magazine | IEEE Xplore

Shared Autocorrelation Property of Sequences


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 us...Show More

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.
Published in: IEEE Transactions on Information Theory ( Volume: 57, Issue: 6, June 2011)
Page(s): 3805 - 3809
Date of Publication: 23 May 2011

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