Bounds for optimization of the reflection coefficient by constrained optimization in hardy spaces
Abstract:
The purpose of this book is twofold. Our starting point is the design of layered media with a prescribed reflection coefficient. In the first part of this book we show that the space of physically realizable reflection coefficients is rather restricted by a number of properties. In the second part we consider a constrained approximation problem in Hardy spaces. This can be viewed as an optimization problem for the frequency response of a causal LTI system with limited gain.
| Zugehörige Institution(en) am KIT | Institut für Angewandte und Numerische Mathematik (IANM) |
| Publikationstyp | Hochschulschrift |
| Publikationsjahr | 2009 |
| Sprache | Deutsch |
| Identifikator | ISBN: 978-3-86644-382-2 urn:nbn:de:0072-118094 KITopen-ID: 1000011809 |
| Verlag | Universitätsverlag Karlsruhe |
| Umfang | I, 136 S. |
| Art der Arbeit | Dissertation |
| Fakultät | Fakultät für Mathematik (MATH) |
| Institut | Institut für Angewandte und Numerische Mathematik (IANM) |
| Prüfungsdaten | 13.05.2009 |
| Schlagwörter | LTI systems, Reflecton coefficient, Helmholtz equation, Analytic approximation, Extremal problems in Hardy spaces |
| Referent/Betreuer | Rieder, A. |