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Lower Bounds on the Maximum Partial Correlations of Frequency Hopping Sequence Set with Low Hit Zone

Xianhua NIU, Daiyuan PENG, Fang LIU, Xing LIU

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Summary :

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

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