The search functionality is under construction.

The search functionality is under construction.

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.

- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E93-A No.11 pp.2227-2231

- Publication Date
- 2010/11/01

- Publicized

- Online ISSN
- 1745-1337

- DOI
- 10.1587/transfun.E93.A.2227

- Type of Manuscript
- Special Section PAPER (Special Section on Signal Design and its Application in Communications)

- Category
- Sequences

The copyright of the original papers published on this site belongs to IEICE. Unauthorized use of the original or translated papers is prohibited. See IEICE Provisions on Copyright for details.

Copy

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

Copy

@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},}

Copy

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 -