Signals and Transforms in Linear Systems Analysis
By: by Wasyl Wasylkiwskyj
Contributors: SpringerLink (Online service)
Publisher: Springer New York; Imprint: Springer
Published: 2013
Place of publication: New York, NY
Language: eng
Format: [electronic resource] /
Number of pages: 375
ISBN-13: 9781461432876
Subjects: Networks Communications Engineering; Image and Speech Processing Signal; Telecommunication; Computer Systems Organization and Communication Networks; Computer network architectures; Engineering
Description: Signals and Transforms in Linear Systems Analysis covers the subject of signals and transforms, particularly in the context of linear systems theory. Chapter 2 provides the theoretical background for the remainder of the text. Chapter 3 treats Fourier series and integrals. Particular attention is paid to convergence properties at step discontinuities. This includes the Gibbs phenomenon and its amelioration via the Fejer summation techniques. Special topics include modulation and analytic signal representation, Fourier transforms and analytic function theory, time-frequency analysis and frequency dispersion. Fundamentals of linear system theory for LTI analogue systems, with a brief account of time-varying systems, are covered in Chapter 4 . Discrete systems are covered in Chapters 6 and 7.  The Laplace transform treatment in Chapter 5 relies heavily on analytic function theory as does Chapter 8 on Z -transforms. The necessary background on complex variables is provided in Appendix A. This book is intended to serve as a text on signals and transforms for a first year one semester graduate course, primarily for electrical engineers.
Table of contents: title: Signals and Their Representations; title: Fourier Series and Integrals with Applications to Signal Analysis; title: Linear Systems; title: Laplace Transforms; title: Bandlimited Functions Sampling and the Discrete Fourier Transform; title: The Z-Transform and Discrete Signals; title: Introduction to Functions of a Complex Variable.