The finite harmonic oscillator and its associated sequences

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

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)

References in corpus (2)

• The finite harmonic oscillator and its applications to sequences, communication and radar
• The finite harmonic oscillator and its associated sequences

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• Statistical RIP and Semi-Circle Distribution of Incoherent Dictionaries