The finite harmonic oscillator and its associated sequences

Shamgar Gurevich, Ronny Hadani, Nir Sochen

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)9869-9873
Number of pages5
JournalProceedings of the National Academy of Sciences of the United States of America
Volume105
Issue number29
DOIs
StatePublished - 22 Jul 2008

Keywords

  • Commutative subgroups
  • Deterministic construction
  • Eigenfunctions
  • Random behavior
  • Weil representation

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