The finite harmonic oscillator and its associated sequences

Details The finite harmonic oscillator and its associated sequences The finite harmonic oscillator and its associated sequences

2008-08-10

arxiv.org/abs/0808.1417v2

PNAS, July 22, 2008 vol. 105 no. 29 9869-9873 http://www.pnas.org/content/105/29/9869.abstract

Computer Science

Information Theory

Published in the Proceedings of the National Academy of Sciences of the United States of America (Communicated by Joseph Berns

Scientific paper

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

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