Two New Families of Low-Correlation Interleaved QAM Sequences

  • Gagan Garg
  • P. Vijay Kumar
  • C. E. Veni Madhavan
Conference paper

DOI: 10.1007/978-3-540-85912-3_12

Part of the Lecture Notes in Computer Science book series (LNCS, volume 5203)
Cite this paper as:
Garg G., Kumar P.V., Madhavan C.E.V. (2008) Two New Families of Low-Correlation Interleaved QAM Sequences. In: Golomb S.W., Parker M.G., Pott A., Winterhof A. (eds) Sequences and Their Applications - SETA 2008. SETA 2008. Lecture Notes in Computer Science, vol 5203. Springer, Berlin, Heidelberg

Abstract

Two families of low correlation QAM sequences are presented here. In a CDMA setting, these sequences have the ability to transport a large amount of data as well as enable variable-rate signaling on the reverse link.

The first family \({\cal I}^2{\cal SQ - B}\) is constructed by interleaving 2 selected QAM sequences. This family is defined over M2-QAM, where M = 2m, m ≥ 2. Over 16-QAM, the normalized maximum correlation \(\overline{\theta}_{\max}\) is bounded above by \( \lesssim 1.17 \, \sqrt{N}\), where N is the period of the sequences in the family. This upper bound on \(\overline{\theta}_{\max}\) is the lowest among all known sequence families over 16-QAM.

The second family \({\cal I}^4{\cal SQ}\) is constructed by interleaving 4 selected QAM sequences. This family is defined over M2-QAM, where M = 2m, m ≥ 3, i.e., 64-QAM and beyond. The \(\overline{\theta}_{\max}\) for sequences in this family over 64-QAM is upper bounded by \( \lesssim 1.60 \, \sqrt{N}\). For large M, \(\overline{\theta}_{\max} \lesssim 1.64 \, \sqrt{N}\). These upper bounds on \(\overline{\theta}_{\max}\) are the lowest among all known sequence families over M2-QAM, M = 2m, m ≥ 3.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Gagan Garg
    • 1
  • P. Vijay Kumar
    • 2
  • C. E. Veni Madhavan
    • 1
  1. 1.Department of Computer Science and AutomationIndian Institute of ScienceBangaloreIndia
  2. 2.Department of Electrical Communication EngineeringIndian Institute of ScienceBangaloreIndia

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