A Radix-M Construction for Complementary Sets
Information Theory
2018-08-31 v1 math.IT
Abstract
We extend the paraunitary (PU) theory for complementary pairs to comple- mentary sets and complete complementary codes (CCC) by proposing a new PU construction. A special, but very important case of complementary sets (and CC- C), based on standard delays, is analyzed in details and a new 'Radix-M generator' (RM-G) is presented. The RM-G can be viewed as a generalization of the Boolean generator for complementary pairs. An efficient correlator for standard complemen- tary sets and CCC is also presented. Finally, examples of polyphase, QAM and hexagonal PU sets of three sequences are given.
Cite
@article{arxiv.1808.10400,
title = {A Radix-M Construction for Complementary Sets},
author = {Srdjan Z. Budisin},
journal= {arXiv preprint arXiv:1808.10400},
year = {2018}
}
Comments
This paper was accepted by SETA 2016 but due to complications with obtaining the Chinese visa the author has withdrawn the paper