Group representation design of digital signals and sequences

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

In this survey a novel system, called the oscillator system, consisting of order of p^3 functions (signals) on the finite field F_{p}, is described and studied. The new functions are proved to satisfy good auto-correlation, cross-correlation and low peak-to-average power ratio properties. Moreover, the oscillator system is closed under the operation of discrete Fourier transform. Applications of the oscillator system for discrete radar and digital communication theory are explained. Finally, an explicit algorithm to construct the oscillator system is presented.
Appeared in the proceedings of the international conference on Sequences and Their Applications (SETA) 2008. Key words: Weil representation, commutative subgroups, eigenfunctions, good correlations, low supremum, Fourier invariance, explicit algorithm

Keywords

Information Theory, Discrete Mathematics, Representation Theory

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/213898

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0812.5026
 http://arxiv.org/abs/0812.5026

Collections

arXiv