Skip to main content

A Novel Construction of Asymmetric Sequence Pairs Set with Zero-Correlation Zone

  • Conference paper
  • First Online:
Sequences and Their Applications - SETA 2014 (SETA 2014)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8865))

Included in the following conference series:

Abstract

An asymmetric zero-correlation zone (A-ZCZ) sequence pairs set is a zero-correlation zone (ZCZ) pairs set consisting of multiple ZCZ sequence pairs subsets, where two arbitrary sequence pairs which belong to different subsets should have a large zero cross-correlation zone (ZCCZ). Additionally, each subset is a typical ZCZ sequence pairs set. The new proposed A-ZCZ sequence pairs sets can be generated based on interleaved technique and perfect sequence pairs of length \(P= Nmk\) with \(N>1\), \(m\ge 1\), \(k>1\). The proposed A-ZCZ sequence pairs sets are applied to quasi-synchronous code-division multiple-access (QS-CDMA) systems and it can hypothetically achieve larger ZCCZ than typical ZCZ sequence pairs set, as well as eliminating both multiple access and multipath interference in the QS-CDMA system.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • 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

References

  1. Fan, P.Z., Hao, L.: Generalized orthogonal sequences and their applications in synchronous CDMA systems. IEICE Trans. Fundam. E83–A(11), 1–16 (2000)

    Google Scholar 

  2. Deng, X.M., Fan, P.Z.: Spreading sequence sets with zero correlation zone. Electron. Lett. 36(11), 982–983 (2000)

    Article  Google Scholar 

  3. Gong, G.: New designs for signal sets with low cross correlation, balance property, and large linear span: GF(p) case. IEEE Trans. Inf. Theory 48(11), 2847–2867 (2002)

    Article  MATH  Google Scholar 

  4. Hayashi, T.: Zero-correlation zone sequence set constructed from a perfect sequence. IEICE Trans. Fundam. E90–A(5), 1–5 (2007)

    Google Scholar 

  5. Tang, X.H., Mow, W.H.: A new systematic construction of zero correlation zone sequences based on interleaved perfect sequences. IEEE Trans. Inf. Theory 54(12), 5729–5734 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  6. Matsufuji, S.: Two types polyphase sequence sets for approximately synchronized CDMA systems. IEICE Trans. Fundam. E86–A(1), 229–234 (2003)

    Google Scholar 

  7. Torii, H., Nakamura, M., Suehiro, N.: A new class of polyphase sequence sets with optimal zero-correlation zones. IEICE Trans. Fundam. E88–A(7), 1987–1994 (2005)

    Article  Google Scholar 

  8. Zhou, Z.C., Pan, Z., Tang, X.H.: New families of optimal zero correlation zone sequences based on interleaved technique and perfect sequences. IEICE Trans. Fundam. E91–A(12), 3691–3697 (2008)

    Article  Google Scholar 

  9. Wang, L.Y., Zeng, X.L.: A new class of sequences with zero correlation zone based on interleaving perfect sequence. In: 5th International Workshop on Signal Design and Its Applications in Communications, pp. 29–31. IEEE Press, New York (2011)

    Google Scholar 

  10. Gao, J.P., Li, Q., Dai, J.F.: A new construction technique of ZCZ sequence pairs set. In: 2nd IET International Communication Conference on Wireless, Mobile and Sensor Networks, pp. 970–973. IET, Stevenage (2007)

    Google Scholar 

  11. Shi, R.H., Zhao, X.Q., Li, L.Z.: Research on construction method of ZCZ sequence pairs set. J. Converg. Inf. Technol. 6(1), 15–23 (2011)

    Article  Google Scholar 

  12. Tang, X.H., Mow, W.H.: Design of spreading codes for quasi-synchronous CDMA with intercell interference. IEEE J. Sel. Areas Commun. 24(1), 84–93 (2006)

    Article  Google Scholar 

  13. Tang, X.H., Fan, P.Z., Lindner, J.: Multiple binary ZCZ sequence sets with good cross-correlation property based on complementary sequence sets. IEEE Trans. Inf. Theory 56(8), 4038–4045 (2010)

    Article  MathSciNet  Google Scholar 

  14. Hayashi, T., Maeda, T., Matsufuji, S., Okawa, S.: A ternary zero-correlation zone sequence set having wide inter-subset zero-correlation zone. IEICE Trans. Fundam. E94–A(11), 2230–2235 (2011)

    Article  Google Scholar 

  15. Hayashi, T., Maeda, T., Okawa, S.: A generalized construction of zero-correlation zone sequence set with sequence subsets. IEICE Trans. Fundam. E94–A(7), 1597–1602 (2011)

    Article  Google Scholar 

  16. Zhang, Z.Y., Zeng, F.X., Xuan, G.X.: A class of complementary sequences with multi-width zero cross-correlation zone. IEICE Trans. Fundam. E93–A(8), 1508–1517 (2010)

    Article  Google Scholar 

  17. Torii, H., Nakamura, M.: A study of asymmetric ZCZ sequence sets. In: 11th WSEAS International Conference on Multimedia Systems and Signal Processing, pp. 79–86, WSEAS, Athens (2011)

    Google Scholar 

  18. Torii, H., Matsumoto, T., Nakamura, M.: A new method for constructing asymmetric ZCZ sequence sets. IEICE Trans. Fundam. E95–A(9), 1577–1586 (2012)

    Article  Google Scholar 

  19. Li, G., Xu, C.Q., Liu, K., Liang, Q.M.: Some novel results on 1-dimension and 2-dimension sequence pairs with zero correlation zone. In: Proceedings of Global Mobile Congress, pp. 551–552. Delson Group Inc., Cupertino (2007)

    Google Scholar 

Download references

Acknowledgments

The authors gratefully acknowledgments very valuable comments given by anonymous reviewers. This work was supported by China Nation Natural Science Foundation of China (NSFC) under Grant No.61261021, 61032003, 61271172, Research Fund for the Doctoral Program of Higher Education of China(RFDP) under Grant No.20120185110030, 20130185130002, SRF for ROCS, SEM and Sichuan International Corporation Project under Grant No. 2013HH0005.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Longye Wang .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this paper

Cite this paper

Wang, L., Zeng, X., Wen, H. (2014). A Novel Construction of Asymmetric Sequence Pairs Set with Zero-Correlation Zone. In: Schmidt, KU., Winterhof, A. (eds) Sequences and Their Applications - SETA 2014. SETA 2014. Lecture Notes in Computer Science(), vol 8865. Springer, Cham. https://doi.org/10.1007/978-3-319-12325-7_24

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-12325-7_24

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-12324-0

  • Online ISBN: 978-3-319-12325-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics