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BOUND ON THE NUMBER OF SIMULTANEOUSLY BAND- AND TIME-LIMITED QUASI-MONOCHROMATIC FREQUENCY MODES
| dc.contributor.advisor | Guha, Saikat | |
| dc.contributor.author | Cox, Ali | |
| dc.creator | Cox, Ali | |
| dc.date.accessioned | 2025-12-03T02:31:19Z | |
| dc.date.available | 2025-12-03T02:31:19Z | |
| dc.date.issued | 2025 | |
| dc.identifier.citation | Cox, Ali. (2025). BOUND ON THE NUMBER OF SIMULTANEOUSLY BAND- AND TIME-LIMITED QUASI-MONOCHROMATIC FREQUENCY MODES (Master's report, University of Arizona, Tucson, USA). | |
| dc.identifier.uri | http://hdl.handle.net/10150/679100 | |
| dc.description.abstract | Based on insight from three seminal papers by Landau, Pollock and Slepian, which introduce the prolate-spheroidal wave functions as an optimal basis for almost completely capturing the degrees of freedom of a certain class of simultaneously time and band limited functions, we introduce an alternative set of narrow-band functions and discuss how the properties of the optimal prolate-spheroidal basis impose a bound on their number in terms of the time-bandwidth product. | en_US |
| dc.language.iso | en_US | en_US |
| dc.publisher | The University of Arizona. | en_US |
| dc.rights | Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author. | en_US |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | |
| dc.title | BOUND ON THE NUMBER OF SIMULTANEOUSLY BAND- AND TIME-LIMITED QUASI-MONOCHROMATIC FREQUENCY MODES | en_US |
| dc.type | text | en_US |
| dc.type | Electronic Report | en_US |
| thesis.degree.grantor | University of Arizona | en_US |
| thesis.degree.level | masters | en_US |
| dc.contributor.committeemember | Guha, Saikat | |
| dc.contributor.committeemember | Wilson, Dalziel | |
| dc.contributor.committeemember | Soh, Daniel | |
| thesis.degree.discipline | Graduate College | en_US |
| thesis.degree.discipline | Optical Sciences | en_US |
| thesis.degree.name | M.S. | en_US |
| dc.description.note | Master's report provided by College of Optical Sciences. | en_US |
| refterms.dateFOA | 2025-12-03T02:31:20Z |
