Optimal Low-Hit-Zone Frequency-Hopping Sequence Set via Cyclotomy | SpringerLink
Skip to main content
Springer Nature Link
Log in

Optimal Low-Hit-Zone Frequency-Hopping Sequence Set via Cyclotomy

  • Conference paper
  • First Online:
Computational Intelligence and Intelligent Systems (ISICA 2015)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 575))

  • 1712 Accesses

Abstract

Frequency-hopping sequence set with low Hamming correlation within the fixed zone around the origin is called LHZ FHS set. In the quasi-synchronous frequency-hopping code division multiple access systems, the LHZ FHS set is often used to eliminate multiple-access interference. In this paper, basing on the Cyclostomes theory, we present a class of LHZ FHS set. It points out that the sequence set possesses excellent performance, and is optimal with respect to the Peng-Fan-Lee bound. It can be widely used in the frequency-hopping communication systems.

H. Zhao—This work was supported partly by the general projects grant funded by the Education Department of Sichuan Province (No. 14ZB0350).

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Subscribe and save

Springer+ Basic
¥17,985 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
JPY 3498
Price includes VAT (Japan)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
JPY 5719
Price includes VAT (Japan)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
JPY 7149
Price includes VAT (Japan)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  1. Fan, P.Z., Darnell, M.: Sequence Design for Communications Applications. Research Studies Press (RSP), Wiley, London (1996)

    Google Scholar 

  2. Golomb, S.W., Gong, G.: Signal Design for Good Correlation: For Wireless Communication, Cryptography and Radar. Cambridge University Press, Cambridge (2005)

    Book  MATH  Google Scholar 

  3. Lempel, A., Greenberger, H.: Families of sequences with optimal Hamming correlation properties. IEEE Trans. Inf. Theory 20(1), 90–94 (1974)

    Article  MathSciNet  MATH  Google Scholar 

  4. Chung, J.H., Han, Y.K., Yang, K.: New classes of optimal frequency-hopping sequences by interleaving technique. IEEE Trans. Inf. Theory 55, 5783–5791 (2009)

    Article  MathSciNet  Google Scholar 

  5. Chung, J.H., Yang, K.: Optimal frequency-hopping sequences with new parameters. IEEE Trans. Inf. Theory 56, 1685–1693 (2010)

    Article  MathSciNet  Google Scholar 

  6. Chung, J.H., Yang, K.: Optimal frequency-hopping sequences with new parameters. IEEE Trans. Inf. Theory 56(4), 1685–1693 (2010)

    Article  MathSciNet  Google Scholar 

  7. Peng, D.Y., Fan, P.Z.: Low bounds on the Hamming auto and crosscorrelation of frequency hopping sequences. IEEE Trans. Inf. Theory 50, 2149–2154 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  8. 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)

    MathSciNet  MATH  Google Scholar 

  9. Ma, W., Sun, S.: New designs of frequency hopping sequences with low hit zone. Des. Codes Crypt. 62(2), 145–153 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  10. Niu, X., Peng, D.Y., Zhou, Z.C.: New classes of optimal frequency hopping sequences with low hit zone. Adv. Math. Commun. 7(2), 293–310 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  11. 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. Fundam. 55(11), 1835–1842 (2012)

    Article  MathSciNet  Google Scholar 

  12. Chung, J.-H., Yang, K.: Low-hit-zone frequency-hopping sequence sets with new parameters. In: Helleseth, T., Jedwab, J. (eds.) SETA 2012. LNCS, vol. 7280, pp. 202–211. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  13. Chung, J.H., Yang, K.: New classes of optimal low-hit-zone frequency-hopping sequence sets by cartesian product. IEEE Trans. Inf. Theory 59(1), 726–732 (2013)

    Article  MathSciNet  Google Scholar 

  14. Storer, T.: Cyclotomy and Difference Sets. Markham, Chicago (1967). Article in a Conference Proceedings

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Chengdu Neusoft University, Chengdu, 611844, China

    Haiyan Zhao, Xiangqian Dong, Changyuan Wang & Wenfei Chen

Authors
  1. Haiyan Zhao
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Xiangqian Dong
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Changyuan Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Wenfei Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Haiyan Zhao .

Editor information

Editors and Affiliations

  1. College of Mathematics and Informatics, The South China Agricultural University, Guangzhou, China

    Kangshun Li

  2. School of Computer Science, Guangzhou University, Guangzhou, China

    Jin Li

  3. School of Computer Science and Engineeri, The University of Aizu, Aizu-Wakamatsu, Fukushima, Japan

    Yong Liu

  4. Dept. of Informatics, University of Salerno, Fisciano, Italy

    Aniello Castiglione

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer Science+Business Media Singapore

About this paper

Cite this paper

Zhao, H., Dong, X., Wang, C., Chen, W. (2016). Optimal Low-Hit-Zone Frequency-Hopping Sequence Set via Cyclotomy. In: Li, K., Li, J., Liu, Y., Castiglione, A. (eds) Computational Intelligence and Intelligent Systems. ISICA 2015. Communications in Computer and Information Science, vol 575. Springer, Singapore. https://doi.org/10.1007/978-981-10-0356-1_74

Download citation

  • DOI: https://doi.org/10.1007/978-981-10-0356-1_74

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-0355-4

  • Online ISBN: 978-981-10-0356-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation