Skip to main content
Erschienen in: Cryptography and Communications 6/2017

18.01.2017

Generalized methods to construct low-hit-zone frequency-hopping sequence sets and optimal constructions

verfasst von: Limengnan Zhou, Daiyuan Peng, Hongbin Liang, Changyuan Wang, Hongyu Han

Erschienen in: Cryptography and Communications | Ausgabe 6/2017

Einloggen

Aktivieren Sie unsere intelligente Suche um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

In a quasi-synchronous frequency-hopping multiple-access system, relative time delay between different users within a zone around the origin can be allowed. Therefore, frequency-hopping sequence (FHS) sets with low-hit-zone (LHZ) have attracted great interest of many related scholars. Moreover, on account of the limited synchronous time or hardware complexity, the periodic partial Hamming correlation (PPHC) plays a major role in determining the synchronization performance. In this paper, we first present three new generalized methods to construct LHZ-FHS sets via Cartesian product. Meanwhile, we pay our attention to the maximum periodic Hamming correlation (PHC) of the constructed LHZ-FHS sets in the first generalized method, and to the maximum PPHC of the constructed LHZ-FHS sets in the rest generalized methods. In addition, we also introduce five new classes of optimal LHZ-FHS sets based on these three generalized methods.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literatur
2.
Zurück zum Zitat Golomb, S.W., Gong, G.: Signal design for good correlation: For wireless communication, Cryptography and radar. Cambridge University Press, Cambridge (2005)CrossRefMATH Golomb, S.W., Gong, G.: Signal design for good correlation: For wireless communication, Cryptography and radar. Cambridge University Press, Cambridge (2005)CrossRefMATH
3.
Zurück zum Zitat Fan, P.Z., Darnell, M.: Sequence Design for Communications Applications. Research Studies Press (RSP). Wiley, London (1996) Fan, P.Z., Darnell, M.: Sequence Design for Communications Applications. Research Studies Press (RSP). Wiley, London (1996)
4.
Zurück zum Zitat Apostol, T.M.: Introduction to analytic number theory. Springer-Verlag, NY, USA (1976)MATH Apostol, T.M.: Introduction to analytic number theory. Springer-Verlag, NY, USA (1976)MATH
5.
Zurück zum Zitat Peng, D.Y., Fan, P.Z.: Lower bounds on the Hamming auto- and cross correlations of frequency-hopping sequences. IEEE Trans. Inf. Theory 50, 2149–2154 (2004)MathSciNetCrossRefMATH Peng, D.Y., Fan, P.Z.: Lower bounds on the Hamming auto- and cross correlations of frequency-hopping sequences. IEEE Trans. Inf. Theory 50, 2149–2154 (2004)MathSciNetCrossRefMATH
6.
Zurück zum Zitat Peng, D.Y., Fan, P.Z., Lee, M.H.: Lower bounds on the periodic Hamming correlations of frequency hopping sequences with low hit zone. Sci. China: Ser. F Inf. Sci. 49, 1–11 (2006)MathSciNetCrossRefMATH Peng, D.Y., Fan, P.Z., Lee, M.H.: Lower bounds on the periodic Hamming correlations of frequency hopping sequences with low hit zone. Sci. China: Ser. F Inf. Sci. 49, 1–11 (2006)MathSciNetCrossRefMATH
7.
Zurück zum Zitat Ye, W.X., Fan, P.Z.: Two classes of frequency hopping sequences with no-hit zone. In: Proceedings 7th International Symposium. on Communication Theory and Applications, pp. 304–306, Ambleside (2003) Ye, W.X., Fan, P.Z.: Two classes of frequency hopping sequences with no-hit zone. In: Proceedings 7th International Symposium. on Communication Theory and Applications, pp. 304–306, Ambleside (2003)
8.
Zurück zum Zitat Niu, X.H., Peng, D.Y., Liu, F., Liu, X.: Lower bounds on the maximum partial correlations of frequency hopping sequence set with low hit zone. IEICE Trans. Fund. E93-A, 2227–2231 (2010)CrossRefMATH Niu, X.H., Peng, D.Y., Liu, F., Liu, X.: Lower bounds on the maximum partial correlations of frequency hopping sequence set with low hit zone. IEICE Trans. Fund. E93-A, 2227–2231 (2010)CrossRefMATH
9.
10.
Zurück zum Zitat Niu, X.H., Peng, D.Y., Zhou, Z.C.: New classes of optimal low hit zone frequency hopping sequences with new parameters by interleaving technique. IEICE Trans. Fund. Electron. Commun. Comput. Sci. E95-A, 1835–1842 (2012)CrossRef Niu, X.H., Peng, D.Y., Zhou, Z.C.: New classes of optimal low hit zone frequency hopping sequences with new parameters by interleaving technique. IEICE Trans. Fund. Electron. Commun. Comput. Sci. E95-A, 1835–1842 (2012)CrossRef
11.
Zurück zum Zitat Chung, J.H., Yang, K.: New classes of optimal low-hit-zone frequency-hopping sequence sets by Cartesian product. IEEE Trans. Inf. Theory 59, 726–732 (2013)MathSciNetCrossRefMATH Chung, J.H., Yang, K.: New classes of optimal low-hit-zone frequency-hopping sequence sets by Cartesian product. IEEE Trans. Inf. Theory 59, 726–732 (2013)MathSciNetCrossRefMATH
12.
Zurück zum Zitat Zhou, L.M.N., Peng, D.Y., Wang, C.Y., Han, H.Y.: Construction of Optimal or Near Optimal Frequency-Hopping Sequence Set with Low Hit Zone. IEICE Trans. Fund. Electron. Commun. Comput. Sci. E99-A, 983–986 (2016)CrossRef Zhou, L.M.N., Peng, D.Y., Wang, C.Y., Han, H.Y.: Construction of Optimal or Near Optimal Frequency-Hopping Sequence Set with Low Hit Zone. IEICE Trans. Fund. Electron. Commun. Comput. Sci. E99-A, 983–986 (2016)CrossRef
13.
Zurück zum Zitat Liu, X., Peng, D.Y., Han, H.Y.: Low-hit-zone frequency hopping sequence sets with optimal partial Hamming correlation properties. Des. Codes Crypt. 73, 167–176 (2013)MathSciNetCrossRefMATH Liu, X., Peng, D.Y., Han, H.Y.: Low-hit-zone frequency hopping sequence sets with optimal partial Hamming correlation properties. Des. Codes Crypt. 73, 167–176 (2013)MathSciNetCrossRefMATH
14.
Zurück zum Zitat Wang, C.Y., Peng, D.Y., Han, H.Y., Zhou, L.M.N.: New sets of low-hit-zone frequency-hopping sequence with optimal maximum periodic partial Hamming correlation. Sci. China Inf. Sci. 58, 1–15 (2015) Wang, C.Y., Peng, D.Y., Han, H.Y., Zhou, L.M.N.: New sets of low-hit-zone frequency-hopping sequence with optimal maximum periodic partial Hamming correlation. Sci. China Inf. Sci. 58, 1–15 (2015)
15.
Zurück zum Zitat Cai, H., Yang, Y., Zhou, Z.C., Tang, X.H.: Strictly optimal frequency-hopping sequence sets with optimal family size. IEEE Trans. Inf. Theory 62, 1087–1093 (2016)MathSciNetCrossRefMATH Cai, H., Yang, Y., Zhou, Z.C., Tang, X.H.: Strictly optimal frequency-hopping sequence sets with optimal family size. IEEE Trans. Inf. Theory 62, 1087–1093 (2016)MathSciNetCrossRefMATH
16.
Zurück zum Zitat Zhou, Z., Tang, X., Niu, X., Udaya, P.: New classes of frequency-hopping sequences with optimal partial correlation. IEEE Trans. Inf. Theory 58, 453–458 (2012)MathSciNetCrossRefMATH Zhou, Z., Tang, X., Niu, X., Udaya, P.: New classes of frequency-hopping sequences with optimal partial correlation. IEEE Trans. Inf. Theory 58, 453–458 (2012)MathSciNetCrossRefMATH
17.
Zurück zum Zitat Solomon, G.: Optimall frequency hopping for multiple access. In: Proceedings in Symposium, pp. 33–35. Spread Spectrum Communication, San Diego (1977) Solomon, G.: Optimall frequency hopping for multiple access. In: Proceedings in Symposium, pp. 33–35. Spread Spectrum Communication, San Diego (1977)
18.
Zurück zum Zitat Kumar, P.V.: Frequency-hopping code designs having large linear span. IEEE Trans. Inf. Theory 34, 146–151 (1988)MathSciNetCrossRef Kumar, P.V.: Frequency-hopping code designs having large linear span. IEEE Trans. Inf. Theory 34, 146–151 (1988)MathSciNetCrossRef
Metadaten
Titel
Generalized methods to construct low-hit-zone frequency-hopping sequence sets and optimal constructions
verfasst von
Limengnan Zhou
Daiyuan Peng
Hongbin Liang
Changyuan Wang
Hongyu Han
Publikationsdatum
18.01.2017
Verlag
Springer US
Erschienen in
Cryptography and Communications / Ausgabe 6/2017
Print ISSN: 1936-2447
Elektronische ISSN: 1936-2455
DOI
https://doi.org/10.1007/s12095-017-0211-3

Weitere Artikel der Ausgabe 6/2017

Cryptography and Communications 6/2017 Zur Ausgabe