Quasi-Optimal and Optimal Generalized Mutually Orthogonal ZCZ Sequence Sets Based on an Interleaving Technique
نویسندگان
چکیده
The present paper proposes methods for constructing quasi-optimal or optimal generalized mutually orthogonal zerocorrelation zone (GMO-ZCZ) sequence sets. Zero-correlation zone (ZCZ) sequence sets have been studied as spreading sequences for approximately synchronized code-division multiple-access (ASCDMA) systems. A mutually orthogonal ZCZ (MO-ZCZ) sequence set is composed of several small ZCZ sequence sets, and two arbitrary sequences that belong to different small ZCZ sequence sets are orthogonal. Moreover, in a GMO-ZCZ sequence set, two arbitrary sequences that belong to different small ZCZ sequence sets have a zero-correlation zone instead of being orthogonal. In the present paper, we propose two methods for constructing GMO-ZCZ sequence sets. One is a method for constructing quasi-optimal GMO-ZCZ sequence sets using perfect sequences and orthogonal codes, and this method is a generalized version of our previously proposed method. The other is a method for constructing optimal GMO-ZCZ sequence sets using discrete Fourier transform (DFT) matrices and orthogonal codes. The proposed methods can generate new GMO-ZCZ sequence sets that cannot be obtained from known methods. Keywords—GMO-ZCZ sequence sets, MO-ZCZ sequence sets, Optimal ZCZ sequence sets, Quasi-optimal ZCZ sequence sets, ASCDMA systems
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