Universal factorizations of quasiperiodic functions

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 May 2015Embargo end date: 01 Jan 2015Publisher:IEEEJournal:2015 International Conference on Sampling Theory and Applications (SampTA)

Authors: Robinson, Michael;

doi: 10.1109/sampta.2015.7148959 , 10.48550/arxiv.1501.06190

arXiv: 1501.06190

Universal factorizations of quasiperiodic functions

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Abstract

Chirped sinosoids and interferometric phase plots are functions that are not periodic, but are the composition of a smooth function and a periodic function. These functions functions factor into a pair of maps: from their domain to a circle, and from a circle to their codomain. One can easily imagine replacing the circle with other phase spaces to obtain a general quasiperiodic function. This paper shows that under appropriate restrictions, each quasiperiodic function has a unique universal factorization. Quasiperiodic functions can therefore be classified based on their phase space and the phase function mapping into it.

submission to SampTA 2015

Related Organizations

University of Massachusetts System
United States
American University
United States

Keywords

Mathematics - Differential Geometry, Differential Geometry (math.DG), FOS: Mathematics, 57R30, Dynamical Systems (math.DS), Mathematics - Dynamical Systems

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