Signals And Transforms In Linear Systems Analysis

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.

Unifies the various approaches used to characterize the interaction of signals with systems. Stresses their commonality, and contrasts difference/differential equation models, convolution, and state variable formulations in presenting continuous- and discrete-time systems. Transform methods are also discussed as they relate to corresponding time-domain techniques. This edition expands discussion of applications of the theoretical material in physical problems, enhancing students' ability to relate this material to design activities. Material on deconvolution has also been added to the time-domain and transform-domain treatments of discrete-time systems. Contains many examples and equations.

This introductory level book gives comprehensive treatment to signals and linear systems. In it, the physical appreciation of concepts is emphasized rather than the mere mathematical manipulation of symbols. Mathematics is used to enhance physical and intuitive understanding, instead of to prove axiomatic theory. This conveniently organized book is divided into five parts and allows for the flexible teaching of discrete-time and continuous-time systems. Wherever possible, theoretical results are interpreted heuristically and are supported by carefully chosen examples and analogies.

This Book Is Designed To Serve As A Textbook For A First Course In Linear Systems Analysis, Which Is Usually Offered At The Second Year Level Of The B.Tech. Programme. It Is Primarily Addressed To The Students Of Electrical, Electronics And Computer Engineering But Could As Well Serve The Needs Of Students From Other Areas.The Course Material Is Well Tried For Over Two Decades Of Class Room Teaching. The Main Emphasis Is On Developing Conceptual Understanding Of The Modelling Process Of Physical Systems And The Different Techniques For Their Analysis. Efforts Have Been Made To Interpret Mathematical Results In Terms Of Their Engineering Significance. The Exercises Challenge The Students To Develop Their Analytical Skills By Exploring New Areas.

This book provides an up-to-date information on a number of important topics in Linear Systems.Salient Features:" Introduces discrete systems including Z-transformations in the analysis of Linear Systems including synthesis." Emphasis on Fourier series analysis and applications." Fourier transforms and its applications." Network functions and synthesis with Laplace transforms and applications." Introduction to discrete-time control system." Z-Transformations and its applications." State space analysis of continuous and discrete-time analysis." Discrete transform analysis." A large number of solved and unsolved problems, review questions, MCQs." Index

For sophomore/junior-level signals and systems courses in Electrical and Computer Engineering departments. Signals, Systems, and Transforms, Fourth Edition is ideal for electrical and computer engineers. The text provides a clear, comprehensive presentation of both the theory and applications in signals, systems, and transforms. It presents the mathematical background of signals and systems, including the Fourier transform, the Fourier series, the Laplace transform, the discrete-time and the discrete Fourier transforms, and the z-transform. The text integrates MATLAB examples into the presentation of signal and system theory and applications.