Advanced Topics in System and Signal Theory A Mathematical Approach /

• Main Authors: Pohl, Volker (Author), Boche, Holger (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
• Series: Foundations in Signal Processing, Communications and Networking, 4
• Subjects: Engineering.; Computer organization.; Computer communication systems.; Computer engineering.; Algorithms.; Applied mathematics.; Engineering mathematics.; Electrical engineering.; Communications Engineering, Networks.; Computer Engineering.; Computer Communication Networks.; Appl.Mathematics/Computational Methods of Engineering.; Computer Systems Organization and Communication Networks.

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 Ba...

Table of 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.