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Construction and assignment of orthogonal sequences and zero correlation zone sequences for applications in CDMA systems

  • * Corresponding author: Yujuan Sun

    * Corresponding author: Yujuan Sun

This work was supported by the National Natural Science Foundation of China under Grant 61672414 and the National Cryptography Development Fund under Grant MMJJ20170113

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  • Orthogonal sequences can be assigned to a regular tessellation of hexagonal cells, typical for synchronised code-division multiple-access (S-CDMA) systems. In this paper, we first construct a new class of orthogonal sequences with increasing the number of users per cell to be $ 2^{m-2} $ for even number $ m\geq 4 $ (where $ 2^m $ is the length of the sequences). In addition, based on the above construction we construct a family of orthogonal sequences with zero correlation zone property which can be applied to the quasi-synchronous CDMA (QS-CMDA) spread spectrum systems.

    Mathematics Subject Classification: Primary: 11B50, 94A55; Secondary: 11B75.


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  • Figure 1.  Assignment of orthogonal sets to a lattice of regular hexagonal cells

    Table 1.  Orthogonality between $ \overline{f_c} $ and $ \mathcal {H}_{a} $

    $ \mathcal {H}_{00} $ $ \mathcal {H}_{10} $ $ \mathcal {H}_{01} $ $ \mathcal {H}_{11} $
    $ \overline{f_{00}} $ $ \bot $ $ \bot $ $ \bot $
    $ \overline{f_{10}} $ $ \bot $ $ \bot $
    $ \overline{f_{01}} $ $ \bot $ $ \bot $
    $ \overline{f_{11}} $ $ \bot $ $ \bot $ $ \bot $
     | Show Table
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  • [1] A. N. Akansu and R. Poluri, Walsh-like nonlinear phase orthogonal codes for direct sequence CDMA communications, IEEE Trans. on Signal Processing, 55 (2007), 3800-3806.  doi: 10.1109/TSP.2007.894229.
    [2] S. CheeS. Lee and K. Kim, Semi-bent functions, Advances in Cryptology-ASIACRYPT'94, 917 (1994), 107-118. 
    [3] E. H. Dinan and B. Jabbari, Spreading codes for direct sequence CDMA and wideband CDMA cellular networks, IEEE Communications Magazine, 36 (1998), 48-54.  doi: 10.1109/35.714616.
    [4] P. Z. FanN. SuehiroN. Kuroyanagi and X. Deng, Class of binary sequences with zero correlation zone, Electronics Letters, 35 (1999), 777-779.  doi: 10.1049/el:19990567.
    [5] A. GoldsmithWireless Communications, Cambridge University Press, 2005.  doi: 10.1017/CBO9780511841224.
    [6] O. S. Rothaus, On "bent" functions, Journal of Combinatorial Theory, 20 (1976), 300-305.  doi: 10.1016/0097-3165(76)90024-8.
    [7] D. H. SmithR. P. War and S. Perkins, Gold codes, Hadamard partitions and the security of CDMA systems, Designs, Codes and Cryptography, 51 (2009), 231-243.  doi: 10.1007/s10623-008-9257-8.
    [8] D. H. SmithF. H. Hunt and S. Perkins, Exploiting spatial separations in CDMA systems with correlation constrained sets of Hadamard matrices, IEEE Transactions on Information Theory, 56 (2010), 5757-5761.  doi: 10.1109/TIT.2010.2070310.
    [9] X. H. Tang and P. Fan, Bounds on aperiodic and odd correlations of spreading sequences with low or zero correlation zone, Electronics Letters, 37 (2001), 1201-1202.  doi: 10.1049/el:20010801.
    [10] X. Tang and W. H. Mow, Design of spreading codes for quasi-synchronous CDMA with intercell interference, IEEE Journal on Selected Areas in Communications, 24 (2006), 84-93. 
    [11] X. H. TangP. Z. Fan and J. Lindner, Multiple binary ZCZ sequence sets with good cross-correlation property based on complementary sequence sets, IEEE Transactions on Information Theory, 56 (2010), 4038-4045.  doi: 10.1109/TIT.2010.2050796.
    [12] K. YangY.-K. Kim and P. V. Kumar, Quasi-orthogonal sequences for code-division multiple-access systems, IEEE Transactions on Information Theory, 46 (2000), 982-993.  doi: 10.1109/18.841175.
    [13] W.-G. ZhangC.-L. Xie and E. Pasalic, Large sets of orthogonal sequences suitable for applications in CDMA systems, IEEE Transactions on Information Theory, 62 (2016), 3757-3767.  doi: 10.1109/TIT.2016.2550478.
    [14] Z. C. ZhouD. ZhangT. Helleseth and J. Wen, A construction of multiple optimal zcz sequence sets with good cross-correlation, IEEE Transactions on Information Theory, 64 (2018), 1340-1346.  doi: 10.1109/TIT.2017.2756845.
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