• Media type: Doctoral Thesis; E-Book; Electronic Thesis; Text
  • Title: Bounds for optimization of the reflection coefficient by constrained optimization in hardy spaces
  • Contributor: Schneck, Arne [Author]
  • imprint: KIT Scientific Publishing, Karlsruhe, 2009-01-01
  • Language: German
  • DOI: https://doi.org/10.5445/KSP/1000011809
  • ISBN: 978-3-86644-382-2
  • Keywords: Reflecton coefficient ; Mathematics ; Helmholtz equation ; Analytic approximation ; LTI systems ; Extremal problems in Hardy spaces
  • Origination:
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  • Description: 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.
  • Access State: Open Access
  • Rights information: Attribution - Non Commercial - No Derivs (CC BY-NC-ND)