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4-phase sequences with near-optimum correlation properties 总被引:7,自引:0,他引:7
Boztas S. Hammons R. Kumar P.Y. 《IEEE transactions on information theory / Professional Technical Group on Information Theory》1992,38(3):1101-1113
Two families of four-phase sequences are constructed using irreducible polynomials over Z4. Family A has period L =2r-1. size L +2. and maximum nontrivial correlation magnitude C max⩽1+√(L +1), where r is a positive integer. Family B has period L =2(2r-1). size (L +2)/4. and C max for complex-valued sequences. Of particular interest, family A has the same size and period as the family of binary Gold sequences. but its maximum nontrivial correlation is smaller by a factor of √2. Since the Gold family for r odd is optimal with respect to the Welch bound restricted to binary sequences, family A is thus superior to the best possible binary design of the same family size. Unlike the Gold design, families A and B are asymptotically optimal whether r is odd or even. Both families are suitable for achieving code-division multiple-access and are easily, implemented using shift registers. The exact distribution of correlation values is given for both families 相似文献
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