New designs of frequency hopping sequences with low hit zone

Ma, Wenping; Sun, Shaojun

doi:10.1007/s10623-010-9422-8

Cited by 41 publications

(26 citation statements)

References 12 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…LHZ FHS sets with low Hamming correlation within the fixed zone are useful in quasi-synchronous frequency hopping multiple-access (FHMA) systems wherein relative delays between distinct users are restricted within a zone around the origin [9]. Several optimal LHZ FHS sets with respect to the Peng-Fan-Lee bound [20] have been constructed in literature [4,13,15,18].…”

Section: Introductionmentioning

confidence: 99%

New classes of strictly optimal low hit zone frequency hopping sequence sets

Han¹,

Zhang²

2020

Advances in Mathematics of Communications

View full text Add to dashboard Cite

Low hit zone frequency hopping sequences (LHZ FHSs) with favorable partial Hamming correlation properties are desirable in quasi-synchronous frequency hopping multiple-access systems. An LHZ FHS set is considered to be strictly optimal when it has optimal partial Hamming correlation for all correlation windows. In this study, an interleaved construction of new sets of strictly optimal LHZ FHSs is proposed. Strictly optimal LHZ FHS sets with new and flexible parameters are obtained by selecting suitable known optimal FHSs and appropriate shift sequences.

show abstract

Section: Introductionmentioning

confidence: 99%

New classes of strictly optimal low hit zone frequency hopping sequence sets

Han¹,

Zhang²

2020

Advances in Mathematics of Communications

View full text Add to dashboard Cite

show abstract

“…The first construction of (near) optimal LHZ FHS sets was presented by Ma et al [12] in 2011. Then, Niu et al [14] proposed constructions of optimal LHZ FHS sets with interleaving technique in 2012.…”

Section: Introductionmentioning

confidence: 99%

Construction of optimal low-hit-zone frequency hopping sequence sets under periodic partial Hamming correlation

Zhou¹,

Peng²,

Han³

et al. 2018

Advances in Mathematics of Communications

View full text Add to dashboard Cite

In practice, when a frequency-hopping sequence (FHS) set is applied in a frequency-hopping multiple-access (FHMA) system, its periodic partial Hamming correlation (PPHC) rather than its periodic Hamming correlation (PHC) within the whole period is used to evaluate the system performance. Moreover, FHS sets with low hit zone (LHZ) can be well applied in quasisynchronous (QS) FHMA systems in which some relative time delay among different users within a zone around the origin can be allowed. Therefore, it is very urgent to conduct research on LHZ FHS sets with optimal PPHC property in depth. In this paper, we first derive a new tighter lower bound on the maximum PPHC of an LHZ FHS set. Then we present a new class of optimal one-coincidence FHS sets. Finally we have a construction of LHZ FHS sets which can be optimal with respect to our new lower bound.2010 Mathematics Subject Classification: Primary: 94A55; Secondary: 94B05.

show abstract

“…The significance of LHZ FHS set is that, even there are relative delays between the transmitted FHSs, the number of hits will be kept at a very low level between different sequences as long as the relative delays do not exceed certain limit, thus reducing or eliminating the mutual interference. Now, several optimal LHZ FHS sets meeting the Peng-Fan-Lee bounds [5] have been covered in the literature [5][6][7][8][9][10][11].…”

Section: Introductionmentioning

confidence: 99%