Skip to main content
Log in

Near theoretical upper bound new loosely synchronous complementary spreading sequences

  • Research Article
  • Published:
Frontiers of Electrical and Electronic Engineering in China

Abstract

A new class of loosely synchronous (LS) spreading sequences with zero correlation window (ZCW) was presented. It was constructed by making Kronecker product of orthogonal matrix and ZCW complementary sequences. This new LS sequence increases the number of perfect complementary pairs and extends ZCW within the same group. Moreover, both auto-correlation and cross-correlation of ZCW in the same group remain identical. The minimum ZCW among different groups is the same as that of basic LS sequences. The method for constructing these new LS sequences is presented and ZCW properties are also verified. The number of these new LS sequences is only smaller than theoretical upper bound by one.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Viterbi A J. CDMA: Principles of Spread Spectrum Communications. New York: Addison-Wesley, 1995, 77–118

    MATH  Google Scholar 

  2. Golay M J E. Complementary series. IRE Transactions on Information Theory, 1961, IT(7): 82–87

    Article  MathSciNet  Google Scholar 

  3. Fan P Z, Suehiro N, Kuroyanagi N, et al. A class of binary sequences with zero correlation zone. Electronics Letters, 1999, 35(10): 777–779

    Article  Google Scholar 

  4. Li D B. A spread spectrum multiple access coding method with zero correlation window. China patent, 00801970. 3, 2000-02-17 (in Chinese)

  5. Xu S J, Li D B. Spreading code design and joint detection in multi-path fading channels. Journal of China Institute of Communications, 2004, 25(4): 15–22 (in Chinese)

    Google Scholar 

  6. Yang X, Li D B, Zou Y Z, et al. A new kind of LS code and its construction method. Journal of Beijing University of Posts and Telecommunications, 2006, 29(3): 103–106 (in Chinese)

    Article  Google Scholar 

  7. Tang X H, Fan P Z. Bounds on aperiodic and odd correlations of spreading sequences with low and zero correlation zone. Electronics Letters, 2001, 37(19): 1 201–1 203

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yu Zheng.

Additional information

__________

Translated from Journal of Beijing University of Posts and Telecommunications (Natural Science), 2007, 30(2): 1–5 [译自: 北京邮电大学学报 (自然科学版)]

About this article

Cite this article

Yu, Z., Yang, X., Zou, Y. et al. Near theoretical upper bound new loosely synchronous complementary spreading sequences. Front. Electr. Electron. Eng. China 2, 395–399 (2007). https://doi.org/10.1007/s11460-007-0073-0

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11460-007-0073-0

Keywords

Navigation