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)

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
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • eng
Summary
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
Member of
Is Subseries of
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
TK1-9971
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)
Instantiates
Publication
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
10.1007/978-3-642-03639-2
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
  • (DE-He213)978-3-642-03639-2
  • (MiAaPQ)EBC993176
  • (EXLCZ)991000000000804547
Label
Advanced Topics in System and Signal Theory : A Mathematical Approach, by Volker Pohl, Holger Boche, (electronic resource)
Publication
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
10.1007/978-3-642-03639-2
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
  • (DE-He213)978-3-642-03639-2
  • (MiAaPQ)EBC993176
  • (EXLCZ)991000000000804547

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