The Hilbert transform: introduction and applications
The Hilbert transform is introduced from the mathematical point of view with the purpose in mind to use its properties in signal analysis applications. An important relation with the Fourier transform will be introducted and this will be the key for the implementation in digital analysis. Three appl...
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| Tipo de recurso: | tesis de maestría |
| Fecha de publicación: | 2017 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/100290 |
| Acceso en línea: | https://hdl.handle.net/2117/100290 |
| Access Level: | acceso abierto |
| Palabra clave: | Fourier analysis Hilbert Fourier Transforms Signals analysis Fourier, Anàlisi de Classificació AMS::42 Fourier analysis::42A Fourier analysis in one variable Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi matemàtica |
| Sumario: | The Hilbert transform is introduced from the mathematical point of view with the purpose in mind to use its properties in signal analysis applications. An important relation with the Fourier transform will be introducted and this will be the key for the implementation in digital analysis. Three applications of the Hilbert transforms will be given, including C++ code for the respective implementations and some data analysis simulations. Results will be commented. |
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