| Vorliegende Sprache |
eng |
| Hinweise auf parallele Ausgaben |
314196625 Buchausg. u.d.T.: ‡Pohl, Volker: Advanced topics in system and signal theory |
| ISBN |
978-3-642-03638-5 |
| Name |
Pohl, Volker |
| Boche, Holger |
| Name ANZEIGE DER KETTE |
Boche, Holger |
| T I T E L |
Advanced Topics in System and Signal Theory |
| Zusatz zum Titel |
A Mathematical Approach |
| Verlagsort |
Berlin, Heidelberg |
| Verlag |
Springer-Verlag Berlin Heidelberg |
| Erscheinungsjahr |
2009 |
| 2009 |
| Umfang |
Online-Ressource (VIII, 241p. 5 illus, digital) |
| Reihe |
Foundations in Signal Processing, Communications and Networking ; 4 |
| Notiz / Fußnoten |
Description based upon print version of record |
| Weiterer Inhalt |
Preface; Contents; Part I Mathematical Preliminaries; Function Spaces and Operators; Banach and Hilbert spaces; Operators on Banach spaces; Spaces of Smooth Functions; Fourier Analysis and Analytic Functions; Trigonometric Series; Hardy Spaces on the Unit Disk; Vector-valued Hardy Spaces; Operator-valued Analytic Functions; Banach Algebras; The Invertible Elements; Complex Homomorphisms and Ideals; Involutions; Signal Models and Linear Systems; Signal Models; Linear Systems -- Properties and Representation; Part II Fundamental Operators; Poisson Integral and Hilbert Transformation. DefinitionsThe Poisson Integral; The Conjugate Poisson Integral; Causal Projections; Complemented Subspaces and Projections; Projections from Lp to Hp; Projections in Spaces of Smooth Functions; Inner-Outer Factorization on Subspaces of H; Part III Causality Aspects in Signal and System Theory; Disk Algebra Bases; On the Existence of Disk Algebra Bases; Robust Approximation in Disk Algebra Bases; Bases in Spaces of Smooth Functions; Uniformly Stable Basis Representations; Causal Approximations; Non-linear and Causal Approximations; Non-causal, Linear Approximations. Behavior of Causal ApproximationsCausal Approximations for Smooth Functions; On Algorithms for Calculating the Hilbert Transform; Spectral Factorization; Regularity of Stochastic Sequences; Definition and Basic Properties; Factorization on Algebras of Continuous Functions; Error Bounds for Polynomial Data; Approximation of Spectral Densities; Spectral Factorization of Approximated Spectra; List of Symbols; References; |
| Titelhinweis |
Buchausg. u.d.T.: ‡Pohl, Volker: Advanced topics in system and signal theory |
| ISBN |
ISBN 978-3-642-03639-2 |
| Klassifikation |
TJK |
| TEC041000 |
| *93-02 |
| 94A12 |
| 94-02 |
| 621.3822 |
| 621.3822301515 |
| TK1-9971 |
| ZN 6020 |
| Kurzbeschreibung |
This book provides an in-depth analysis of selected methods in signal and system theory with applications to problems in communications, stochastic processes and optimal filter theory. The authors take a consistent functional analysis and operator theoretic approach to linear system theory, using Banach algebra and Hardy space techniques. The themes connecting all the chapters are questions concerning the consequences of the causality constraint, which is necessary in all realizable systems, and the question of robustness of linear systems with respect to errors in the data. The first part of the book contains basic background on the necessary mathematical tools and provides a basic foundation of signal and system theory. Emphasis is given to the close relation between properties of linear systems such as causality, time-invariance, and robustness on the one hand and the algebraic structures and analytic properties of the mathematical objects, such as Banach algebras or Hardy spaces, on the other hand. The requirement of causality in system theory is inevitably accompanied by the appearance of certain mathematical operations, namely the Riesz projection and the Hilbert transform. These operations are studied in detail in part two. Part three relates the mathematical techniques that are developed in the first two parts to the behaviour of linear systems that are of interest from an engineering perspective, such as expansions of transfer functions in orthonormal bases, the approximation from measured data and the numerical calculation of the Hilbert transform, as well as spectral factorization. |
| 1. Schlagwortkette |
Signaltheorie |
| Hilbert-Transformation |
| Banach-Algebra |
| Hardy-Raum |
| 1. Schlagwortkette ANZEIGE DER KETTE |
Signaltheorie -- Hilbert-Transformation -- Banach-Algebra -- Hardy-Raum |
| 2. Schlagwortkette |
Systemtheorie |
| Hilbert-Transformation |
| Banach-Algebra |
| Hardy-Raum |
| 2. Schlagwortkette ANZEIGE DER KETTE |
Systemtheorie -- Hilbert-Transformation -- Banach-Algebra -- Hardy-Raum |
| 3. Schlagwortkette |
Signaltheorie |
| Hilbert-Transformation |
| Banach-Algebra |
| Hardy-Raum |
| ANZEIGE DER KETTE |
Signaltheorie -- Hilbert-Transformation -- Banach-Algebra -- Hardy-Raum |
| 4. Schlagwortkette |
Systemtheorie |
| ANZEIGE DER KETTE |
Systemtheorie |
| SWB-Titel-Idn |
313876215 |
| Signatur |
Springer E-Book |
| Bemerkungen |
Elektronischer Volltext - Campuslizenz |
| Elektronische Adresse |
$uhttp://dx.doi.org/10.1007/978-3-642-03639-2 |
| Internetseite / Link |
Volltext |
| Siehe auch |
Volltext |
| Siehe auch |
Cover |
| Siehe auch |
Inhaltsverzeichnis |
| Siehe auch |
Kapitel 1 |
| Siehe auch |
Einführung/Vorwort |
| Siehe auch |
Inhaltstext |
