Springer Signals and Transforms in Linear Systems Analysis

From the theoretical background to Fourier series, the Gibbs phenomenon, discrete systems, and analytic function theory and the Laplace transform, this book thorough coverage of of signals and transforms, particularly in the context of linear systems theory. Review “This book contains a solid and extensive account of a variety of transforms available in the study of signals and linear systems. … Every chapter ends with a list of exercises that should help the interested reader to comprehend and to get deeper knowledge … . the book can be fluently read and includes many important illustrations of its theoretical content.” (Eli Appleboim, Mathematical Reviews, May, 2015) “This book discusses the conceptual aspects of signals and systems so the reader can see how various aspects are connected in a unifying way. … This book will be useful to many researchers, graduate students, and senior undergraduate students interested in signals and systems. It can also serve as a quick reference. I recommend it to anyone working in this important area of ICT.” (Manish Gupta, Computing Reviews, February, 2014) “This book provides an advanced exposition of signals and transforms in linear systems analysis. … The exposition of the whole subject is very clear. … an excellent book on linear systems theory which will soon become an ‘instrument de travail’ for computer and electronics graduate and post-graduate students.” (Dumitru Stanomir, zbMATH, Vol. 1273, 2013) From the Back Cover 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. About the Author Prof. Wasylkiwskyj is a professor at George Washington University.