The finite harmonic oscillator and its associated sequences

Shamgar Gurevich; Ronny Hadani; Nir Sochen

doi:10.1073/pnas.0801656105

The finite harmonic oscillator and its associated sequences

Shamgar Gurevich^*, Ronny Hadani, Nir Sochen

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	9869-9873
Number of pages	5
Journal	Proceedings of the National Academy of Sciences of the United States of America
Volume	105
Issue number	29
DOIs	https://doi.org/10.1073/pnas.0801656105
State	Published - 22 Jul 2008

Keywords

Commutative subgroups
Deterministic construction
Eigenfunctions
Random behavior
Weil representation

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KW - Deterministic construction

KW - Eigenfunctions

KW - Random behavior

KW - Weil representation

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The finite harmonic oscillator and its associated sequences

Abstract

Keywords

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