dc.contributor.advisor | Lyubarskii, Yurii | nb_NO |
dc.contributor.author | Aune, Erlend | nb_NO |
dc.date.accessioned | 2014-12-19T13:57:32Z | |
dc.date.available | 2014-12-19T13:57:32Z | |
dc.date.created | 2010-09-02 | nb_NO |
dc.date.issued | 2008 | nb_NO |
dc.identifier | 347095 | nb_NO |
dc.identifier | ntnudaim:4273 | nb_NO |
dc.identifier.uri | http://hdl.handle.net/11250/258240 | |
dc.description.abstract | We give a survey of the classical uncertainty principle and uncertainty principles related to orthonormal sequences of functions. Furthermore, we present a new result concerning the minimality of additive uncertainty for n orthonormal functions, namely that it is achieved by linear combinations of the n first Hermite functions. Next, we conjecture that the minimal multiplicative uncertainty for two orthonormal functions is achieved by a special linear combination of the two first Hermite functions. Lastly, we discuss relations to Gabor superframes and make some observations regarding the stability of multiplicative uncertainty measure. | nb_NO |
dc.language | eng | nb_NO |
dc.publisher | Institutt for matematiske fag | nb_NO |
dc.subject | ntnudaim | no_NO |
dc.subject | SIF3 fysikk og matematikk | no_NO |
dc.subject | Industriell matematikk | no_NO |
dc.title | The Uncertainty Principle: A Survey and Exploration of Orthonormal Functions | nb_NO |
dc.type | Master thesis | nb_NO |
dc.source.pagenumber | 77 | nb_NO |
dc.contributor.department | Norges teknisk-naturvitenskapelige universitet, Fakultet for informasjonsteknologi, matematikk og elektroteknikk, Institutt for matematiske fag | nb_NO |