http://iet.metastore.ingenta.com
1887

Average Hamming correlation for the cubic polynomial hopping sequences

Average Hamming correlation for the cubic polynomial hopping sequences

For access to this article, please select a purchase option:

Buy article PDF
£12.50
(plus tax if applicable)
Buy Knowledge Pack
10 articles for £75.00
(plus taxes if applicable)

IET members benefit from discounts to all IET publications and free access to E&T Magazine. If you are an IET member, log in to your account and the discounts will automatically be applied.

Learn more about IET membership 

Recommend to library

You must fill out fields marked with: *

Librarian details
Name:*
Email:*
Your details
Name:*
Email:*
Department:*
Why are you recommending this title?
Select reason:
 
 
 
 
 
IET Communications — Recommend this title to your library

Thank you

Your recommendation has been sent to your librarian.

Frequency hopping/time hopping (FH/TH) sequences have found wide applications in various modern FH/TH spread spectrum communications, namely ultra-wide bandwidth radio, multi-user radar, sonar systems, wireless sensor networks, and so on. The average Hamming correlation (AHC) is an important performance indicator of the FH/TH sequences. In order to evaluate the performance of the FH/TH sequences, it is important to find the tight theoretical bound on the AHC. The lower bound, which has not yet been previously reported, on the AHC for FH/TH sequences with respect to the size of the frequency slot set, the sequence length, the family size, the average Hamming autocorrelation and the average Hamming cross-correlation is established here. In addition, a new family of cubic and constant hopping sequences with large family size suitable for FH/TH code-division multiple-access systems is proposed. Further, the AHCs for the new cubic and constant hopping and some known cubic hopping sequences are derived analytically. It is shown that these cubic hopping sequences are optimal with respect to our new bound on the AHC.

References

    1. 1)
      • N.C. Beaulieu , D.J. Young . Designing time-hopping ultrawide bandwidth receivers for multiuser interference environments. Proc. IEEE , 2 , 255 - 284
    2. 2)
      • Sibanda, A., Dlodlo, M.E.: `A hybrid time-hopping frequency-hopping pulse-shape-hopping ultra wideband multiple-access technique', Wireless VITAE'2009, 2009, p. 606–609.
    3. 3)
    4. 4)
      • Vanninen, T., Raustia, M., Saarnisaari, H., Iinatti, J.: `Frequency hopping mobile ad hoc and sensor network synchronization', Military Communications Conf., 2008, p. 1–7.
    5. 5)
      • M.Z. Win , R.A. Scholtz . Ultra-wide bandwidth time-hopping spread-spectrum impulse radio for wireless multiple-access communications. IEEE Trans. Commun. , 4 , 679 - 691
    6. 6)
      • P. Fan , M. Darnell . (1996) Sequence design for communications applications.
    7. 7)
      • Y.S. Shen , F.B. Ueng , J.D. Chen , S.T. Huang . A high-capacity TH multiple-access UWB system with performance analysis. IEEE Trans. Veh. Technol. , 2 , 742 - 753
    8. 8)
      • J.Y. Zhang , P.V. Orlik , Z. Sahinoglu , A.F. Molisch , P. Kinney . UWB systems for wireless sensor networks. Proc. IEEE , 2 , 313 - 331
    9. 9)
      • F. Zheng , T. Kaiser . On the evaluation of channel capacity of UWB indoor wireless systems. IEEE Trans. Signal Process. , 12 , 6106 - 6113
    10. 10)
      • P.Z. Fan , M.H. Lee , D.Y. Peng . New family of hopping sequences for time/frequency hopping CDMA systems. IEEE Trans. Wirel. Commun. , 6 , 2836 - 2842
    11. 11)
    12. 12)
    13. 13)
      • A. Lempel , H. Greenberger . Families of sequence with optimal Hamming correlation properties. IEEE Trans. Inf. Theory , 90 - 94
    14. 14)
      • E.L. Titlebaum . Time-frequency hop signals part I: coding based upon the theory of linear congruences. IEEE Trans. Aerosp. Electron. Syst. , 4 , 490 - 493
    15. 15)
      • Lacobucci, M.S., Benedetto, M.G.D.: `Multiple access design for impulse radio communication systems', IEEE Int. Conf. Communications, April 2002, p. 817–820.
    16. 16)
      • E.L. Titlebaum . Time-frequency hop signals part II: coding based upon quadratic congruences. IEEE Trans. Aerosp. Electron. Syst. , 4 , 494 - 499
    17. 17)
      • J.R. Bellegarda , E.L. Titlebaum . Time-frequency hop codes based upon extended quadratic congruences. IEEE Trans. Aerosp. Electron. Syst. , 6 , 726 - 742
    18. 18)
      • H.D. Jia , D. Yuan , D.Y. Peng , L. Guo . On a general class of quadratic hopping sequences. Sci. China, Ser. F , 12 , 2101 - 2114
    19. 19)
    20. 20)
      • Jovancevic, A.V., Titlebaum, E.L.: `A new receiving technique for frequency hopping CDMA systems: analysis and application', IEEE 47th Vehicular Technology Conf., May 1997, 3, p. 2187–2190.
    21. 21)
    22. 22)
      • I. Niven , H.S. Zuckerman . (1966) An introduction to the theory of numbers.
    23. 23)
      • R. Lidl , H. Niederreiter . (1997) Finite fields.
http://iet.metastore.ingenta.com/content/journals/10.1049/iet-com.2009.0783
Loading

Related content

content/journals/10.1049/iet-com.2009.0783
pub_keyword,iet_inspecKeyword,pub_concept
6
6
Loading
This is a required field
Please enter a valid email address