2013/08/31 by Gaofei Wu, Wu, Gaofei, Matthew G. Parker +1
Computer Science · Engineering · Mathematics · #Advanced Wireless Communication Techniques #Coding theory and cryptography #cs.DM #cs.IT #graph theory and CDMA systems #math.IT
paper · pdf · doi:10.48550/arxiv.1309.0157
25 pages, 1 figure
arxiv created 2013/12/04 · arxiv updated 2013/12/05
We present a construction for complementary pairs of arrays that exploits a set of mutually-unbiased bases, and enumerate these arrays as well as 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 √((3)/(2)) times the Welch bound.