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Advanced Topics in System and Signal Theory
A Mathematical Approach
Series: Foundations in Signal Processing, Communications and Networking , Vol. 4
Pohl, Volker, Boche, Holger
2009, VIII, 241 p. 5 illus., Hardcover
ISBN: 978-3-642-03638-5
About this book
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.
Written for:
Researchers and professionals
Keywords:
* Multi-Antenna Systems
* Packet Radio Networks
* QoS Opimization
* Quality of Service
* Radio Access Networks
* Scheduling
* Signal Processing
图书系列名称:Foundations in Signal Processing,Communications and Networking
Series Editors: W. Utschick, H. Boche, R. Mathar
卷1: Vol. 1. Dietl, G. K. E.
Linear Estimation and Detection in Krylov Subspaces, 2007
ISBN 978-3-540-68478-7
卷2: Vol. 2. Dietrich, F. A.
Robust Signal Processing for Wireless Communications, 2008
ISBN 978-3-540-74246-3
卷3: Vol. 3. Stanczak, S., Wiczanowski, M. and Boche, H.
Fundamentals of Resource Allocation in Wireless Networks, 2009
ISBN 978-3-540-79385-4
卷4: Vol. 4. Pohl, V., Boche, H.
Advanced Topics in System and Signal Theory, 2009
ISBN 978-3-642-03639-2
Springer-Advanced Topics in System and Signal Theory-2009.rar
(3.14 MB, 下载次数: 249 )
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