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A design and flexible assignment of orthogonal binary sequence sets for (QS)-CDMA systems
Zhang, WeiGuo ...
Boolean functions naturally induce binary sequences of length ▫$2^m$▫ and a large number of such orthogonal sequences is required in the design of code-division multiple-access (CDMA) systems. In ...this paper, Boolean functions are used to construct nonlinear phase orthogonal sequence sets for CDMA communications. For even m, employing carefully designed an m-variable Boolean function with ▫$five-valuedWalsh spectra$▫, one can get 16 different orthogonal sequence sets with sequence length ▫$2^m$▫. These sequence sets are assigned to a lattice of regular hexagonal cells, and we can ensure the orthogonality of adjacent cells. Moreover, the cross-correlation values between the sequences in a given cell and the sequences in non-neighbouring cells belong to ▫${0,2^m/2 ,2^{m/2+1}}$▫. On the other hand, the cardinality of the sequences sets is 2^{m3} thus implying a trade-off between the quality of communication and the number of users assigned to each cell. This method can be improved so that the number of users is increased to ▫$2^{m2}$▫ in one half of the network while preserving the orthogonality between adjacent cells and the same level of low cross-correlation values to the non-neighbouring cells.
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