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The Resource Advanced Topics in System and Signal Theory : A Mathematical Approach, by Volker Pohl, Holger Boche, (electronic resource)
Advanced Topics in System and Signal Theory : A Mathematical Approach, by Volker Pohl, Holger Boche, (electronic resource)
Resource Information
The item Advanced Topics in System and Signal Theory : A Mathematical Approach, by Volker Pohl, Holger Boche, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Advanced Topics in System and Signal Theory : A Mathematical Approach, by Volker Pohl, Holger Boche, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 This book provides an indepth 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, timeinvariance, 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
 Language

 eng
 eng
 Edition
 1st ed. 2010.
 Extent
 1 online resource (244 p.)
 Note
 Description based upon print version of record
 Contents

 I Mathematical Preliminaries
 Function Spaces and Operators
 Fourier Analysis and Analytic Functions
 Banach Algebras
 Signal Models and Linear Systems
 II Fundamental Operators
 Poisson Integral and Hilbert Transformation
 Causal Projections
 III Causality Aspects in Signal and System Theory
 Disk Algebra Bases
 Causal Approximations
 On Algorithms for Calculating the Hilbert Transform
 Spectral Factorization
 Isbn
 9783642036392
 Label
 Advanced Topics in System and Signal Theory : A Mathematical Approach
 Title
 Advanced Topics in System and Signal Theory
 Title remainder
 A Mathematical Approach
 Statement of responsibility
 by Volker Pohl, Holger Boche
 Subject

 Telecommunication
 Computer Systems Organization and Communication Networks
 Computer Communication Networks
 Computer Engineering
 Computer Communication Networks
 Engineering mathematics
 Computer network architectures
 Algorithms
 Communications Engineering, Networks
 Algorithms
 Mathematical and Computational Engineering
 Language

 eng
 eng
 Summary
 This book provides an indepth 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, timeinvariance, 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
 http://library.link/vocab/creatorName
 Pohl, Volker
 Dewey number
 621.3822
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut

 kacqpPgwOo
 VStiwoC7Jc8
 Language note
 English
 LC call number
 TK19971
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName
 Boche, Holger.
 Series statement
 Foundations in Signal Processing, Communications and Networking,
 Series volume
 4
 http://library.link/vocab/subjectName

 Telecommunication
 Computer Communication Networks
 Algorithms
 Engineering mathematics
 Computer network architectures
 Communications Engineering, Networks
 Computer Engineering
 Computer Communication Networks
 Algorithms
 Mathematical and Computational Engineering
 Computer Systems Organization and Communication Networks
 Label
 Advanced Topics in System and Signal Theory : A Mathematical Approach, by Volker Pohl, Holger Boche, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references
 Carrier category
 online resource
 Carrier category code
 cr
 Content category
 text
 Content type code
 txt
 Contents
 I Mathematical Preliminaries  Function Spaces and Operators  Fourier Analysis and Analytic Functions  Banach Algebras  Signal Models and Linear Systems  II Fundamental Operators  Poisson Integral and Hilbert Transformation  Causal Projections  III Causality Aspects in Signal and System Theory  Disk Algebra Bases  Causal Approximations  On Algorithms for Calculating the Hilbert Transform  Spectral Factorization
 Dimensions
 unknown
 Edition
 1st ed. 2010.
 Extent
 1 online resource (244 p.)
 Form of item
 online
 Isbn
 9783642036392
 Media category
 computer
 Media type code
 c
 Other control number
 10.1007/9783642036392
 Specific material designation
 remote
 System control number

 (CKB)1000000000804547
 (EBL)993176
 (OCoLC)809769630
 (SSID)ssj0000333941
 (PQKBManifestationID)11241339
 (PQKBTitleCode)TC0000333941
 (PQKBWorkID)10378140
 (PQKB)10258089
 (SSID)ssj0000767832
 (PQKBManifestationID)12327693
 (PQKBTitleCode)TC0000767832
 (PQKBWorkID)10741407
 (PQKB)11105495
 (DEHe213)9783642036392
 (MiAaPQ)EBC993176
 (EXLCZ)991000000000804547
 Label
 Advanced Topics in System and Signal Theory : A Mathematical Approach, by Volker Pohl, Holger Boche, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references
 Carrier category
 online resource
 Carrier category code
 cr
 Content category
 text
 Content type code
 txt
 Contents
 I Mathematical Preliminaries  Function Spaces and Operators  Fourier Analysis and Analytic Functions  Banach Algebras  Signal Models and Linear Systems  II Fundamental Operators  Poisson Integral and Hilbert Transformation  Causal Projections  III Causality Aspects in Signal and System Theory  Disk Algebra Bases  Causal Approximations  On Algorithms for Calculating the Hilbert Transform  Spectral Factorization
 Dimensions
 unknown
 Edition
 1st ed. 2010.
 Extent
 1 online resource (244 p.)
 Form of item
 online
 Isbn
 9783642036392
 Media category
 computer
 Media type code
 c
 Other control number
 10.1007/9783642036392
 Specific material designation
 remote
 System control number

 (CKB)1000000000804547
 (EBL)993176
 (OCoLC)809769630
 (SSID)ssj0000333941
 (PQKBManifestationID)11241339
 (PQKBTitleCode)TC0000333941
 (PQKBWorkID)10378140
 (PQKB)10258089
 (SSID)ssj0000767832
 (PQKBManifestationID)12327693
 (PQKBTitleCode)TC0000767832
 (PQKBWorkID)10741407
 (PQKB)11105495
 (DEHe213)9783642036392
 (MiAaPQ)EBC993176
 (EXLCZ)991000000000804547
Subject
 Algorithms
 Algorithms
 Communications Engineering, Networks
 Computer Communication Networks
 Computer Communication Networks
 Computer Engineering
 Computer Systems Organization and Communication Networks
 Computer network architectures
 Engineering mathematics
 Mathematical and Computational Engineering
 Telecommunication
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