Group representation design of digital signals and sequences
Abstract
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.
Keywords
Cite
@article{arxiv.0812.5026,
title = {Group representation design of digital signals and sequences},
author = {Shamgar Gurevich and Ronny Hadani and Nir Sochen},
journal= {arXiv preprint arXiv:0812.5026},
year = {2008}
}
Comments
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