Doppler Tolerance, Complementary Code Sets and the Generalized Thue-Morse Sequence
Information Theory
2014-10-14 v3 math.IT
Abstract
We generalize the construction of Doppler-tolerant Golay complementary waveforms by Pezeshki-Calderbank-Moran-Howard to complementary code sets having more than two codes. This is accomplished by exploiting number-theoretic results involving the sum-of-digits function, equal sums of like powers, and a generalization to more than two symbols of the classical two-symbol Prouhet-Thue-Morse sequence.
Cite
@article{arxiv.1406.2076,
title = {Doppler Tolerance, Complementary Code Sets and the Generalized Thue-Morse Sequence},
author = {Hieu D. Nguyen and Greg E. Coxson},
journal= {arXiv preprint arXiv:1406.2076},
year = {2014}
}
Comments
12 pages