IEICE TRANSACTIONS on Fundamentals
A Class of Optimal One-Coincidence Frequency-Hopping Sequence Sets with Composite Length
Summary :
In this letter, we first investigate some new properties of a known power residue frequency-hopping sequence (FHS) set which is established as an optimal one-coincidence frequency-hopping sequence (OC-FHS) set with near-optimal set size. Next, combining the mathematical structure of power residue theory with interleaving technique, we present a new class of optimal OC-FHS set, using the Chinese Remainder Theorem (CRT). As a result, one optimal OC-FHS set with prime length is extended to another optimal OC-FHS set with composite length in which the construction preserves the maximum Hamming correlation (MHC) and the set size as well as the optimality of the Lempel-Greenberger bound.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E100-A No.11 pp.2528-2533
- Publication Date
- 2017/11/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E100.A.2528
- Type of Manuscript
- LETTER
- Category
- Communication Theory and Signals
Authors
Wenli REN
Dezhou University
Fang-Wei FU
Nankai University
Feng WANG
Dezhou University
Jian GAO
the School of Science, Shandong University of Technology
Keyword
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Wenli REN, Fang-Wei FU, Feng WANG, Jian GAO, "A Class of Optimal One-Coincidence Frequency-Hopping Sequence Sets with Composite Length" in IEICE TRANSACTIONS on Fundamentals,
vol. E100-A, no. 11, pp. 2528-2533, November 2017, doi: 10.1587/transfun.E100.A.2528.
Abstract: In this letter, we first investigate some new properties of a known power residue frequency-hopping sequence (FHS) set which is established as an optimal one-coincidence frequency-hopping sequence (OC-FHS) set with near-optimal set size. Next, combining the mathematical structure of power residue theory with interleaving technique, we present a new class of optimal OC-FHS set, using the Chinese Remainder Theorem (CRT). As a result, one optimal OC-FHS set with prime length is extended to another optimal OC-FHS set with composite length in which the construction preserves the maximum Hamming correlation (MHC) and the set size as well as the optimality of the Lempel-Greenberger bound.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E100.A.2528/_p
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@ARTICLE{e100-a_11_2528,
author={Wenli REN, Fang-Wei FU, Feng WANG, Jian GAO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Class of Optimal One-Coincidence Frequency-Hopping Sequence Sets with Composite Length},
year={2017},
volume={E100-A},
number={11},
pages={2528-2533},
abstract={In this letter, we first investigate some new properties of a known power residue frequency-hopping sequence (FHS) set which is established as an optimal one-coincidence frequency-hopping sequence (OC-FHS) set with near-optimal set size. Next, combining the mathematical structure of power residue theory with interleaving technique, we present a new class of optimal OC-FHS set, using the Chinese Remainder Theorem (CRT). As a result, one optimal OC-FHS set with prime length is extended to another optimal OC-FHS set with composite length in which the construction preserves the maximum Hamming correlation (MHC) and the set size as well as the optimality of the Lempel-Greenberger bound.},
keywords={},
doi={10.1587/transfun.E100.A.2528},
ISSN={1745-1337},
month={November},}
Copy
TY - JOUR
TI - A Class of Optimal One-Coincidence Frequency-Hopping Sequence Sets with Composite Length
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2528
EP - 2533
AU - Wenli REN
AU - Fang-Wei FU
AU - Feng WANG
AU - Jian GAO
PY - 2017
DO - 10.1587/transfun.E100.A.2528
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E100-A
IS - 11
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - November 2017
AB - In this letter, we first investigate some new properties of a known power residue frequency-hopping sequence (FHS) set which is established as an optimal one-coincidence frequency-hopping sequence (OC-FHS) set with near-optimal set size. Next, combining the mathematical structure of power residue theory with interleaving technique, we present a new class of optimal OC-FHS set, using the Chinese Remainder Theorem (CRT). As a result, one optimal OC-FHS set with prime length is extended to another optimal OC-FHS set with composite length in which the construction preserves the maximum Hamming correlation (MHC) and the set size as well as the optimality of the Lempel-Greenberger bound.
ER -
English
