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.

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.

Discusses Fourier series Fourier Integrals Laplace and z transforms and their application to electric circuits Presents a new perspective as it relates to presenting linear transforms (continuous and discrete) from the least mean square (LMS) approximation standpoint Examines functions of a complex variable such as differentiation and integration Includes supplementary material: sn.pub/extras

Autorentext
Prof. Wasylkiwskyj is a professor at George Washington University.

Klappentext
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.

Inhalt
Signals and Their Representations.- Fourier Series and Integrals with Applications to Signal Analysis.- Linear Systems.- Laplace Transforms.- Bandlimited Functions Sampling and the Discrete Fourier Transform.- The Z-Transform and Discrete Signals.- Introduction to Functions of a Complex Variable.