Title

Fourier Transforms of Finite Chirps

Document Type

Article

Publication Date

12-1-2006

Abstract

Chirps arise in many signal processing applications. While chirps have been extensively studied as functions over both the real line and the integers, less attention has been paid to the study of chirps over finite groups. We study the existence and properties of chirps over finite cyclic groups of integers. In particular, we introduce a new definition of a finite chirp which is slightly more general than those that have been previously used. We explicitly compute the discrete Fourier transforms of these chirps, yielding results that are number-theoretic in nature. As a consequence of these results, we determine the degree to which the elements of certain finite tight frames are well distributed.

Comments

The 'Link to Full Text' button on this record points to the freely-accessible article, hosted at the publisher website. The article is marked open access to read ("Green Open Access"). The publisher retains permissions to re-use and distribute this article.

This paper predates the "Gold OA" status for the source journal.

DOI

10.1155/ASP/2006/70204

Source Publication

EURASIP Journal on Applied Signal Processing

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