A complementary construction using mutually unbiased bases

作者：Wu, Gaofei; Parker, Matthew Geoffrey^*

来源：Cryptography and Communications, 2014, 6(1): 3-25.

DOI：10.1007/s12095-013-0095-9

• Mutually unbiased bases
• Complementary sequences
• PAPR
• Codebooks
• OFDM

We propose a construction for complementary sets of arrays that exploits a set of mutually-unbiased bases (a MUB). In particular we present, in detail, the construction for complementary pairs that is seeded by a MUB of dimension 2, where we enumerate the arrays and the corresponding set of complementary sequences obtained from the arrays by projection. We also sketch an algorithm to uniquely generate these sequences. The pairwise squared inner-product of members of the sequence set is shown to be 1/2. Moreover, a subset of the set can be viewed as a codebook that asymptotically achieves root 3/2 times the Welch bound.

• 出版日期2014-3
• 单位综合业务网理论及关键技术国家重点实验室; 西安电子科技大学