The finite harmonic oscillator and its associated sequences
Information Theory
2022-06-08 v2 Cryptography and Security
Discrete Mathematics
Mathematical Physics
Group Theory
math.IT
math.MP
Number Theory
Probability
Quantum Algebra
Representation Theory
Symplectic Geometry
Quantum Physics
Abstract
A system of functions (signals) on the finite line, called the oscillator system, is described and studied. Applications of this system for discrete radar and digital communication theory are explained. Keywords: Weil representation, commutative subgroups, eigenfunctions, random behavior, deterministic construction
Cite
@article{arxiv.0808.1417,
title = {The finite harmonic oscillator and its associated sequences},
author = {Shamgar Gurevich and Ronny Hadani and Nir Sochen},
journal= {arXiv preprint arXiv:0808.1417},
year = {2022}
}
Comments
Published in the Proceedings of the National Academy of Sciences of the United States of America (Communicated by Joseph Bernstein, Tel Aviv University, Tel Aviv, Israel)