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Signals and Transforms in Linear Systems Analysis

  • Wasyl¬†Wasylkiwskyj

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Wasyl Wasylkiwskyj
    Pages 1-74
  3. Wasyl Wasylkiwskyj
    Pages 191-233
  4. Wasyl Wasylkiwskyj
    Pages 235-270
  5. Wasyl Wasylkiwskyj
    Pages 311-336
  6. Back Matter
    Pages 337-375

About this book

Introduction

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.

Keywords

Bandlimited Functions Discrete Fourier Transform (DFT) Finite Sets Fourier Integral Input/Output Relationships Inverse ZT Orthogonal Functions Signal Spaces Singular Value Decomposition (SVD) Walsh Transforms

Authors and affiliations

  • Wasyl¬†Wasylkiwskyj
    • 1
  1. 1.The George Washington UniversityWashingtonUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4614-3287-6
  • Copyright Information Springer Science+Business Media, LLC 2013
  • Publisher Name Springer, New York, NY
  • eBook Packages Engineering
  • Print ISBN 978-1-4614-3286-9
  • Online ISBN 978-1-4614-3287-6
  • Buy this book on publisher's site
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