The finite harmonic oscillator and its associated sequences

Shamgar Gurevich, Ronny Hadani, Nir Sochen
Arxiv ID: 0808.1417Last updated: 6/8/2022
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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