In order to evaluate the goodness of frequency hopping sequence design, the periodic Hamming correlation function is used as an important measure. Usually, the length of correlation window is shorter than the period of the chosen frequency hopping sequence, so the study of the partial Hamming correlation of frequency hopping sequence is particularly important. In this paper, the maximum partial Hamming correlation lower bounds of frequency hopping sequences with low hit zone, with respect to the size of the frequency slot set, the length of correlation window, the family size, the low hit zone, the maximum partial Hamming autocorrelation and the maximum partial Hamming crosscorrelation are established. It is shown that the new bounds include the known Lempel-Greenberger bound, Peng-Fan bounds, Eun-Jin-Hong-Song bound and Peng-Fan-Lee bounds as special cases.
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Xianhua NIU, Daiyuan PENG, Fang LIU, Xing LIU, "Lower Bounds on the Maximum Partial Correlations of Frequency Hopping Sequence Set with Low Hit Zone" in IEICE TRANSACTIONS on Fundamentals,
vol. E93-A, no. 11, pp. 2227-2231, November 2010, doi: 10.1587/transfun.E93.A.2227.
Abstract: In order to evaluate the goodness of frequency hopping sequence design, the periodic Hamming correlation function is used as an important measure. Usually, the length of correlation window is shorter than the period of the chosen frequency hopping sequence, so the study of the partial Hamming correlation of frequency hopping sequence is particularly important. In this paper, the maximum partial Hamming correlation lower bounds of frequency hopping sequences with low hit zone, with respect to the size of the frequency slot set, the length of correlation window, the family size, the low hit zone, the maximum partial Hamming autocorrelation and the maximum partial Hamming crosscorrelation are established. It is shown that the new bounds include the known Lempel-Greenberger bound, Peng-Fan bounds, Eun-Jin-Hong-Song bound and Peng-Fan-Lee bounds as special cases.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E93.A.2227/_p
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@ARTICLE{e93-a_11_2227,
author={Xianhua NIU, Daiyuan PENG, Fang LIU, Xing LIU, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Lower Bounds on the Maximum Partial Correlations of Frequency Hopping Sequence Set with Low Hit Zone},
year={2010},
volume={E93-A},
number={11},
pages={2227-2231},
abstract={In order to evaluate the goodness of frequency hopping sequence design, the periodic Hamming correlation function is used as an important measure. Usually, the length of correlation window is shorter than the period of the chosen frequency hopping sequence, so the study of the partial Hamming correlation of frequency hopping sequence is particularly important. In this paper, the maximum partial Hamming correlation lower bounds of frequency hopping sequences with low hit zone, with respect to the size of the frequency slot set, the length of correlation window, the family size, the low hit zone, the maximum partial Hamming autocorrelation and the maximum partial Hamming crosscorrelation are established. It is shown that the new bounds include the known Lempel-Greenberger bound, Peng-Fan bounds, Eun-Jin-Hong-Song bound and Peng-Fan-Lee bounds as special cases.},
keywords={},
doi={10.1587/transfun.E93.A.2227},
ISSN={1745-1337},
month={November},}
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TY - JOUR
TI - Lower Bounds on the Maximum Partial Correlations of Frequency Hopping Sequence Set with Low Hit Zone
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2227
EP - 2231
AU - Xianhua NIU
AU - Daiyuan PENG
AU - Fang LIU
AU - Xing LIU
PY - 2010
DO - 10.1587/transfun.E93.A.2227
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E93-A
IS - 11
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - November 2010
AB - In order to evaluate the goodness of frequency hopping sequence design, the periodic Hamming correlation function is used as an important measure. Usually, the length of correlation window is shorter than the period of the chosen frequency hopping sequence, so the study of the partial Hamming correlation of frequency hopping sequence is particularly important. In this paper, the maximum partial Hamming correlation lower bounds of frequency hopping sequences with low hit zone, with respect to the size of the frequency slot set, the length of correlation window, the family size, the low hit zone, the maximum partial Hamming autocorrelation and the maximum partial Hamming crosscorrelation are established. It is shown that the new bounds include the known Lempel-Greenberger bound, Peng-Fan bounds, Eun-Jin-Hong-Song bound and Peng-Fan-Lee bounds as special cases.
ER -