dc.contributor.advisor | Luef, Franz | |
dc.contributor.author | Nås, Sindre | |
dc.date.accessioned | 2018-09-25T14:01:07Z | |
dc.date.available | 2018-09-25T14:01:07Z | |
dc.date.created | 2018-06-25 | |
dc.date.issued | 2018 | |
dc.identifier | ntnudaim:19651 | |
dc.identifier.uri | http://hdl.handle.net/11250/2564446 | |
dc.description.abstract | The theory of time-frequency analysis is introduced, and basic results on modulation spaces are proved. We describe Gabor frames and prove results which are relevant to application in wireless communication. We outline a technique for transmitting data through a time-domain signal using time-frequency shifts, and show how pseudodifferential operators can be used to model a communication channel. The abstract structures of Hilbert $C^*$-modules are described and used to explain central aspects of Gabor theory, and we use a link to noncommutative geometry to prove the Balian-Low theorem. | |
dc.language | eng | |
dc.publisher | NTNU | |
dc.subject | Fysikk og matematikk, Industriell matematikk | |
dc.title | Noncommutative Geometry in Wireless Communication Applications | |
dc.type | Master thesis | |