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007 cr nn 008mamaa
008 100301s2010 gw | s |||| 0|eng d
020 _a9783642036392
_9978-3-642-03639-2
040 _cMX-MeUAM
050 4 _aTK1-9971
082 0 4 _a621.382
_223
100 1 _aPohl, Volker.
_eauthor.
245 1 0 _aAdvanced Topics in System and Signal Theory
_h[recurso electrónico] :
_bA Mathematical Approach /
_cby Volker Pohl, Holger Boche.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2010.
300 _aVIII, 241p. 5 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aFoundations in Signal Processing, Communications and Networking,
_x1863-8538 ;
_v4
505 0 _aI 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.
520 _aThis 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.
650 0 _aEngineering.
650 0 _aComputer network architectures.
650 0 _aComputer Communication Networks.
650 0 _aAlgorithms.
650 0 _aEngineering mathematics.
650 0 _aTelecommunication.
650 1 4 _aEngineering.
650 2 4 _aCommunications Engineering, Networks.
650 2 4 _aAlgorithms.
650 2 4 _aComputer Communication Networks.
650 2 4 _aAppl.Mathematics/Computational Methods of Engineering.
650 2 4 _aComputer Systems Organization and Communication Networks.
650 2 4 _aSignal, Image and Speech Processing.
700 1 _aBoche, Holger.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642036385
830 0 _aFoundations in Signal Processing, Communications and Networking,
_x1863-8538 ;
_v4
856 4 0 _zLibro electrónico
_uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-642-03639-2
596 _a19
942 _cLIBRO_ELEC
999 _c201442
_d201442