Bounds for optimization of the reflection coefficient by constrained optimization in hardy spaces
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 w...
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| Format: | Online |
| Język: | niemiecki |
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KIT Scientific Publishing
2021
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| Hasła przedmiotowe: | |
| Dostęp online: | 35013 |
| Etykiety: |
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| _version_ | 1869516292889772032 |
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| author | Schneck, Arne |
| author_browse | Schneck, Arne |
| author_facet | Schneck, Arne |
| author_sort | Schneck, Arne |
| collection | Directory of Open Access Books |
| 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. |
| format | Online |
| id | doab-20.500.12854ir-42394 |
| institution | Directory of Open Access Books |
| language | ger |
| publishDate | 2021 |
| publishDateRange | 2021 |
| publishDateSort | 2021 |
| publisher | KIT Scientific Publishing |
| publisherStr | KIT Scientific Publishing |
| record_format | ojs |
| spelling | doab-20.500.12854ir-423942023-12-20T18:40:33Z Bounds for optimization of the reflection coefficient by constrained optimization in hardy spaces Schneck, Arne QA1-939 Reflecton coefficient Helmholtz equation Extremal problems in Hardy spaces LTI systems Analytic approximation bic Book Industry Communication::P Mathematics & science 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. 2021-02-11T09:16:12Z 2021-02-11T09:16:12Z 2019-07-30 20:02:00 2009 book 35013 9783866443822 https://directory.doabooks.org/handle/20.500.12854/42394 ger image/jpeg Attribution-NonCommercial-NoDerivatives 4.0 International https://www.ksp.kit.edu/9783866443822 KIT Scientific Publishing 10.5445/KSP/1000011809 10.5445/KSP/1000011809 68fffc18-8f7b-44fa-ac7e-0b7d7d979bd2 9783866443822 I, 136 p. open access |
| spellingShingle | QA1-939 Reflecton coefficient Helmholtz equation Extremal problems in Hardy spaces LTI systems Analytic approximation bic Book Industry Communication::P Mathematics & science Schneck, Arne Bounds for optimization of the reflection coefficient by constrained optimization in hardy spaces |
| title | Bounds for optimization of the reflection coefficient by constrained optimization in hardy spaces |
| title_full | Bounds for optimization of the reflection coefficient by constrained optimization in hardy spaces |
| title_fullStr | Bounds for optimization of the reflection coefficient by constrained optimization in hardy spaces |
| title_full_unstemmed | Bounds for optimization of the reflection coefficient by constrained optimization in hardy spaces |
| title_short | Bounds for optimization of the reflection coefficient by constrained optimization in hardy spaces |
| title_sort | bounds for optimization of the reflection coefficient by constrained optimization in hardy spaces |
| topic | QA1-939 Reflecton coefficient Helmholtz equation Extremal problems in Hardy spaces LTI systems Analytic approximation bic Book Industry Communication::P Mathematics & science |
| topic_facet | QA1-939 Reflecton coefficient Helmholtz equation Extremal problems in Hardy spaces LTI systems Analytic approximation bic Book Industry Communication::P Mathematics & science |
| url | 35013 |
| work_keys_str_mv | AT schneckarne boundsforoptimizationofthereflectioncoefficientbyconstrainedoptimizationinhardyspaces |