On The Average Partial Hamming Correlation of Frequency-Hopping Sequences
Summary :
The average Hamming correlation is an important performance indicator of frequency-hopping sequences (FHSs). In this letter, the average partial Hamming correlation (APHC) properties of FHSs are discussed. Firstly, the theoretical bound on the average partial Hamming correlation of FHSs is established. It works for any correlation window with length 1≤ω≤υ, where υ is the sequence period, and generalizes the bound developed by Peng et al which is valid only when ω=υ. A sufficient and necessary condition for a set of FHSs having optimal APHC for any correlation window is then given. Finally, sets of FHSs with optimal APHC are presented.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E96-A No.5 pp.1010-1013
- Publication Date
- 2013/05/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E96.A.1010
- Type of Manuscript
- LETTER
- Category
- Communication Theory and Signals
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Keyword
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Wenli REN, Fang-Wei FU, Zhengchun ZHOU, "On The Average Partial Hamming Correlation of Frequency-Hopping Sequences" in IEICE TRANSACTIONS on Fundamentals,
vol. E96-A, no. 5, pp. 1010-1013, May 2013, doi: 10.1587/transfun.E96.A.1010.
Abstract: The average Hamming correlation is an important performance indicator of frequency-hopping sequences (FHSs). In this letter, the average partial Hamming correlation (APHC) properties of FHSs are discussed. Firstly, the theoretical bound on the average partial Hamming correlation of FHSs is established. It works for any correlation window with length 1≤ω≤υ, where υ is the sequence period, and generalizes the bound developed by Peng et al which is valid only when ω=υ. A sufficient and necessary condition for a set of FHSs having optimal APHC for any correlation window is then given. Finally, sets of FHSs with optimal APHC are presented.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E96.A.1010/_p
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@ARTICLE{e96-a_5_1010,
author={Wenli REN, Fang-Wei FU, Zhengchun ZHOU, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={On The Average Partial Hamming Correlation of Frequency-Hopping Sequences},
year={2013},
volume={E96-A},
number={5},
pages={1010-1013},
abstract={The average Hamming correlation is an important performance indicator of frequency-hopping sequences (FHSs). In this letter, the average partial Hamming correlation (APHC) properties of FHSs are discussed. Firstly, the theoretical bound on the average partial Hamming correlation of FHSs is established. It works for any correlation window with length 1≤ω≤υ, where υ is the sequence period, and generalizes the bound developed by Peng et al which is valid only when ω=υ. A sufficient and necessary condition for a set of FHSs having optimal APHC for any correlation window is then given. Finally, sets of FHSs with optimal APHC are presented.},
keywords={},
doi={10.1587/transfun.E96.A.1010},
ISSN={1745-1337},
month={May},}
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TY - JOUR
TI - On The Average Partial Hamming Correlation of Frequency-Hopping Sequences
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1010
EP - 1013
AU - Wenli REN
AU - Fang-Wei FU
AU - Zhengchun ZHOU
PY - 2013
DO - 10.1587/transfun.E96.A.1010
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E96-A
IS - 5
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - May 2013
AB - The average Hamming correlation is an important performance indicator of frequency-hopping sequences (FHSs). In this letter, the average partial Hamming correlation (APHC) properties of FHSs are discussed. Firstly, the theoretical bound on the average partial Hamming correlation of FHSs is established. It works for any correlation window with length 1≤ω≤υ, where υ is the sequence period, and generalizes the bound developed by Peng et al which is valid only when ω=υ. A sufficient and necessary condition for a set of FHSs having optimal APHC for any correlation window is then given. Finally, sets of FHSs with optimal APHC are presented.
ER -
English
