Skip to main content
Log in

New family of bipolar sequences and its correlation spectrum

  • Papers
  • Published:
Journal of Electronics (China)

Abstract

Based on a class of bipolar sequences with two-values autocorrelation functions, a new family of bipolar sequences is constructed and its correlation spectrum is calculated. It is shown that the new family is optimal with respect to Welch’s bound and is different from the small set of Kasami sequences, while both of them have the same correlation properties.

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. D. V. Sarwate, M. B. Pursley, Cross-correlation properties of pseudorandom and related sequences, Proc. IEEE, IT-68(1980)5, 593–619.

    Article  Google Scholar 

  2. P. Z. Fan, M. Darnell, Sequences Design for Communications Applications, New York, Wiley, 1996, Chapter 1–2.

    Google Scholar 

  3. J. S. No, P. V. Kumar, A new family of binary pseudorandom sequences having optimal periodic correlation properties and large linear span, IEEE Trans. on Information Theory, IT-35(1989)2, 371–379.

    Article  Google Scholar 

  4. X. Qing, On balanced bipolar Sequences with two-level autocorrelation functions, IEEE Trans. on Information Theory, IT-44(1998)7, 3153–3156.

    Article  Google Scholar 

  5. L. R. Welch, Lower bounds on the maximum cross-correlation of signals, IEEE Trans. on Information Theory, IT-20(1974)3, 397–399.

    Article  MathSciNet  Google Scholar 

  6. R. Lidl, H. Niederreiter, Finite fields, in Encyclopedia of Mathematics and its Applications, 2nd. ed., Vol.20, Cambridge, U. K.: Cambridge Univ. Press, 1983, Chapter 5–6.

    Google Scholar 

  7. F. J. Macwilliams, N. J. A. Sloane, The Theory of Error-Correcting Codes, Amsterdam, the Netherlands: North Holland, 1977, Chapter 9.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

About this article

Cite this article

Hu, F., Wen, H. & Jin, F. New family of bipolar sequences and its correlation spectrum. J. of Electron.(China) 21, 140–144 (2004). https://doi.org/10.1007/BF02687829

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02687829

Key words

Navigation