Crosscorrelation between GMW and Dillon-Dobbertin Sequences
Summary :
Binary sequences with good autocorrelation and crosscorrelation properties are widely used in signal processing. If the autocorrelation properties are optimum, then the sequences are called perfect. In this paper we show, that the calculation of the crosscorrelation between Gordon-Mills-Welch sequences and Dillon-Dobbertin sequences is related to the crosscorrelation of m-sequences and their decimations. Furthermore, we give an upper bound for the maximum crosscorrelation coefficient (in absolute value) for certain perfect sequences.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E89-A No.9 pp.2264-2267
- Publication Date
- 2006/09/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1093/ietfec/e89-a.9.2264
- Type of Manuscript
- Special Section PAPER (Special Section on Sequence Design and its Application in Communications)
- Category
Authors
Keyword
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Doreen HERTEL, "Crosscorrelation between GMW and Dillon-Dobbertin Sequences" in IEICE TRANSACTIONS on Fundamentals,
vol. E89-A, no. 9, pp. 2264-2267, September 2006, doi: 10.1093/ietfec/e89-a.9.2264.
Abstract: Binary sequences with good autocorrelation and crosscorrelation properties are widely used in signal processing. If the autocorrelation properties are optimum, then the sequences are called perfect. In this paper we show, that the calculation of the crosscorrelation between Gordon-Mills-Welch sequences and Dillon-Dobbertin sequences is related to the crosscorrelation of m-sequences and their decimations. Furthermore, we give an upper bound for the maximum crosscorrelation coefficient (in absolute value) for certain perfect sequences.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e89-a.9.2264/_p
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@ARTICLE{e89-a_9_2264,
author={Doreen HERTEL, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Crosscorrelation between GMW and Dillon-Dobbertin Sequences},
year={2006},
volume={E89-A},
number={9},
pages={2264-2267},
abstract={Binary sequences with good autocorrelation and crosscorrelation properties are widely used in signal processing. If the autocorrelation properties are optimum, then the sequences are called perfect. In this paper we show, that the calculation of the crosscorrelation between Gordon-Mills-Welch sequences and Dillon-Dobbertin sequences is related to the crosscorrelation of m-sequences and their decimations. Furthermore, we give an upper bound for the maximum crosscorrelation coefficient (in absolute value) for certain perfect sequences.},
keywords={},
doi={10.1093/ietfec/e89-a.9.2264},
ISSN={1745-1337},
month={September},}
Copy
TY - JOUR
TI - Crosscorrelation between GMW and Dillon-Dobbertin Sequences
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2264
EP - 2267
AU - Doreen HERTEL
PY - 2006
DO - 10.1093/ietfec/e89-a.9.2264
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E89-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 2006
AB - Binary sequences with good autocorrelation and crosscorrelation properties are widely used in signal processing. If the autocorrelation properties are optimum, then the sequences are called perfect. In this paper we show, that the calculation of the crosscorrelation between Gordon-Mills-Welch sequences and Dillon-Dobbertin sequences is related to the crosscorrelation of m-sequences and their decimations. Furthermore, we give an upper bound for the maximum crosscorrelation coefficient (in absolute value) for certain perfect sequences.
ER -
English
