New Constructions of Sonar Sequences
Number Theory
2013-11-08 v1
Abstract
A set A is a Sidon set in an additive group G if every element of G can be written at most one way as sum of two elements of A. A particular case of two-dimensional Sidon sets are the sonar sequences, which are two-dimensional synchronization patterns. The main known constructions of sonar sequences are reminiscent of Costas arrays constructions (Welch and Golomb). Other constructions are Quadratic and Shift. In this work we present new constructions of sonar sequences, independent of the named above, using one-dimensional Sidon sets.
Cite
@article{arxiv.1311.1679,
title = {New Constructions of Sonar Sequences},
author = {Diego F. Ruiz and Carlos A. Trujillo and Yadira Caicedo},
journal= {arXiv preprint arXiv:1311.1679},
year = {2013}
}
Comments
12 pages