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Bounds for optimization of the reflection coefficient by constrained optimization in hardy spaces
Arne Schneck
2009
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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.
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Keywords
- Analytic approximation
- Extremal problems in Hardy spaces
- Hardy-Raum
- Helmholtz equation
- LTI systems
- Nebenbedingung
- Optimierung
- Reflecton coefficient
Links
DOI: 10.5445/KSP/1000011809Editions