IEICE TRANSACTIONS on Fundamentals
Pairs of Ternary Perfect Sequences with Three-Valued Cross-Correlation
Summary :
The calculation of cross-correlation between a sequence with good autocorrelation and its decimated sequence is an interesting problem in the field of sequence design. In this letter, we consider a class of ternary sequences with perfect autocorrelation, proposed by Shedd and Sarwate (IEEE Trans. Inf. Theory, 1979, DOI: 10.1109/TIT.1979.1055998), which is generated based on the cross-correlation between m-sequence and its d-decimation sequence. We calculate the cross-correlation distribution between a certain pair of such ternary perfect sequences and show that the cross-correlation takes three different values.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E106-A No.12 pp.1521-1524
- Publication Date
- 2023/12/01
- Publicized
- 2023/08/08
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.2023SDL0003
- Type of Manuscript
- Special Section LETTER (Special Section on Signal Design and Its Applications in Communications)
- Category
- Communication Theory and Signals
Authors
Chenchen LIU
University of Science and Technology of China
Wenyi ZHANG
University of Science and Technology of China
Xiaoni DU
Northwest Normal University
Keyword
Latest Issue
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Chenchen LIU, Wenyi ZHANG, Xiaoni DU, "Pairs of Ternary Perfect Sequences with Three-Valued Cross-Correlation" in IEICE TRANSACTIONS on Fundamentals,
vol. E106-A, no. 12, pp. 1521-1524, December 2023, doi: 10.1587/transfun.2023SDL0003.
Abstract: The calculation of cross-correlation between a sequence with good autocorrelation and its decimated sequence is an interesting problem in the field of sequence design. In this letter, we consider a class of ternary sequences with perfect autocorrelation, proposed by Shedd and Sarwate (IEEE Trans. Inf. Theory, 1979, DOI: 10.1109/TIT.1979.1055998), which is generated based on the cross-correlation between m-sequence and its d-decimation sequence. We calculate the cross-correlation distribution between a certain pair of such ternary perfect sequences and show that the cross-correlation takes three different values.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.2023SDL0003/_p
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@ARTICLE{e106-a_12_1521,
author={Chenchen LIU, Wenyi ZHANG, Xiaoni DU, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Pairs of Ternary Perfect Sequences with Three-Valued Cross-Correlation},
year={2023},
volume={E106-A},
number={12},
pages={1521-1524},
abstract={The calculation of cross-correlation between a sequence with good autocorrelation and its decimated sequence is an interesting problem in the field of sequence design. In this letter, we consider a class of ternary sequences with perfect autocorrelation, proposed by Shedd and Sarwate (IEEE Trans. Inf. Theory, 1979, DOI: 10.1109/TIT.1979.1055998), which is generated based on the cross-correlation between m-sequence and its d-decimation sequence. We calculate the cross-correlation distribution between a certain pair of such ternary perfect sequences and show that the cross-correlation takes three different values.},
keywords={},
doi={10.1587/transfun.2023SDL0003},
ISSN={1745-1337},
month={December},}
Copy
TY - JOUR
TI - Pairs of Ternary Perfect Sequences with Three-Valued Cross-Correlation
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1521
EP - 1524
AU - Chenchen LIU
AU - Wenyi ZHANG
AU - Xiaoni DU
PY - 2023
DO - 10.1587/transfun.2023SDL0003
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E106-A
IS - 12
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - December 2023
AB - The calculation of cross-correlation between a sequence with good autocorrelation and its decimated sequence is an interesting problem in the field of sequence design. In this letter, we consider a class of ternary sequences with perfect autocorrelation, proposed by Shedd and Sarwate (IEEE Trans. Inf. Theory, 1979, DOI: 10.1109/TIT.1979.1055998), which is generated based on the cross-correlation between m-sequence and its d-decimation sequence. We calculate the cross-correlation distribution between a certain pair of such ternary perfect sequences and show that the cross-correlation takes three different values.
ER -
English
