A Mixing of Prouhet-Thue-Morse Sequences and Rademacher Functions
Number Theory
2014-05-28 v1
Abstract
A novel generalization of the Prouhet-Thue-Morse sequence to binary -weight sequences is presented. Derived from Rademacher functions, these weight sequences are shown to satisfy interesting orthogonality and recurrence relations. In addition, a result useful in describing these weight sequences as sidelobes of Doppler tolerant waveforms in radar is established.
Keywords
Cite
@article{arxiv.1405.6958,
title = {A Mixing of Prouhet-Thue-Morse Sequences and Rademacher Functions},
author = {Hieu D. Nguyen},
journal= {arXiv preprint arXiv:1405.6958},
year = {2014}
}
Comments
12 pages