Multiple <I>L</I>-Shift Complementary Sequences

Yan XIN; Ivan J. FAIR

doi:10.1093/ietfec/e89-a.10.2640

Multiple L-Shift Complementary Sequences

Yan XIN, Ivan J. FAIR

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We introduce an extension of Golay complementary sequences in which, for each sequence, there exists another sequence such that the sum of aperiodic autocorrelation functions of these two sequences for a given multiple L-shift (L≥1) is zero except for the zero shift. We call these sequences multiple L-shift complementary sequences. It is well-known that the peak-to-average power ratio (PAPR) value of any Golay complementary sequence is less than or equal to 2. In this paper, we show that the PAPR of each multiple L-shift complementary sequence is less than or equal to 2L. We also discuss other properties of the sequences and consider their construction.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E89-A No.10 pp.2640-2648

Publication Date: 2006/10/01

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Online ISSN: 1745-1337

DOI: 10.1093/ietfec/e89-a.10.2640

Type of Manuscript: Special Section PAPER (Special Section on Information Theory and Its Applications)

Category: Sequences

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Yan XIN, Ivan J. FAIR, "Multiple L-Shift Complementary Sequences" in IEICE TRANSACTIONS on Fundamentals, vol. E89-A, no. 10, pp. 2640-2648, October 2006, doi: 10.1093/ietfec/e89-a.10.2640.
Abstract: We introduce an extension of Golay complementary sequences in which, for each sequence, there exists another sequence such that the sum of aperiodic autocorrelation functions of these two sequences for a given multiple L-shift (L≥1) is zero except for the zero shift. We call these sequences multiple L-shift complementary sequences. It is well-known that the peak-to-average power ratio (PAPR) value of any Golay complementary sequence is less than or equal to 2. In this paper, we show that the PAPR of each multiple L-shift complementary sequence is less than or equal to 2L. We also discuss other properties of the sequences and consider their construction.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e89-a.10.2640/_p

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@ARTICLE{e89-a_10_2640,
author={Yan XIN, Ivan J. FAIR, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Multiple L-Shift Complementary Sequences},
year={2006},
volume={E89-A},
number={10},
pages={2640-2648},
abstract={We introduce an extension of Golay complementary sequences in which, for each sequence, there exists another sequence such that the sum of aperiodic autocorrelation functions of these two sequences for a given multiple L-shift (L≥1) is zero except for the zero shift. We call these sequences multiple L-shift complementary sequences. It is well-known that the peak-to-average power ratio (PAPR) value of any Golay complementary sequence is less than or equal to 2. In this paper, we show that the PAPR of each multiple L-shift complementary sequence is less than or equal to 2L. We also discuss other properties of the sequences and consider their construction.},
keywords={},
doi={10.1093/ietfec/e89-a.10.2640},
ISSN={1745-1337},
month={October},}

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TY - JOUR
TI - Multiple L-Shift Complementary Sequences
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2640
EP - 2648
AU - Yan XIN
AU - Ivan J. FAIR
PY - 2006
DO - 10.1093/ietfec/e89-a.10.2640
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E89-A
IS - 10
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - October 2006
AB - We introduce an extension of Golay complementary sequences in which, for each sequence, there exists another sequence such that the sum of aperiodic autocorrelation functions of these two sequences for a given multiple L-shift (L≥1) is zero except for the zero shift. We call these sequences multiple L-shift complementary sequences. It is well-known that the peak-to-average power ratio (PAPR) value of any Golay complementary sequence is less than or equal to 2. In this paper, we show that the PAPR of each multiple L-shift complementary sequence is less than or equal to 2L. We also discuss other properties of the sequences and consider their construction.
ER -