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A Guide to Signals and Systems in Continuous Time

  • Textbook
  • © 2022

Overview

Authors:
  1. Stéphane Lafortune

    1. Department of Electrical Engineering and Computer Science, The University of Michigan, Ann Arbor, USA

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  • Covers key material students need to learn in a first-course in Signals and Systems, continuous-time case
  • Presents a concise guide on analysis of continuous-time linear time-invariant systems using Fourier and Laplace transforms
  • Provides a valuable supplement to comprehensive textbooks, with essential results presented in a logical progression and in a uniform mathematical setting

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-xiv
    Download chapter PDF

  2. Introduction

    • Stéphane Lafortune
    Pages 1-9

  3. Systems

    • Stéphane Lafortune
    Pages 11-34

  4. Periodic Signals and Fourier Series

    • Stéphane Lafortune
    Pages 35-43

  5. Analysis of Stable Systems Using the Fourier Transform

    • Stéphane Lafortune
    Pages 45-64

  6. Sampling and Reconstruction

    • Stéphane Lafortune
    Pages 65-71

  7. Analysis and Control of Systems Using the Laplace Transform

    • Stéphane Lafortune
    Pages 73-97

  8. Back Matter

    Pages 99-114
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Keywords

About this book

This textbook is a concise yet precise supplement to traditional books on Signals and Systems, focusing exclusively on the continuous-time case. Students can use this guide to review material, reinforce their understanding, and see how all the parts connect together in a uniform treatment focused on mathematical clarity. Readers learn the “what”, “why” and “how” about the ubiquitous Fourier and Laplace transforms encountered in the study of linear time-invariant systems in engineering: what are these transforms, why do we need them, and how do we use them? Readers will come away with an understanding of the gradual progression from time-domain analysis to frequency-domain and s-domain techniques for continuous-time linear time-invariant systems. This book reflects the author’s experience in teaching this material for over 25 years in sophomore- and junior-level required engineering courses and is ideal for undergraduate classes in electrical engineering.

Authors and Affiliations

  • Department of Electrical Engineering and Computer Science, The University of Michigan, Ann Arbor, USA

    Stéphane Lafortune

About the author

Stéphane Lafortune was born in Montréal, Québec, Canada. He received the B.Eng degree from École Polytechnique de Montréal in 1980, the M.Eng degree from McGill University in 1982, and the Ph.D degree from the University of California at Berkeley in 1986, all in electrical engineering. Since September 1986, he has been with the University of Michigan, Ann Arbor, where he is a Professor of Electrical Engineering and Computer Science. In March 2018, he was appointed as the N. Harris McClamroch Collegiate Professor of Electrical Engineering and Computer Science. Lafortune is a Fellow of the IEEE (1999) and of the IFAC (2017). He received the Presidential Young Investigator Award from the U.S. National Science Foundation in 1990 and the Axelby Outstanding Paper Award from the Control Systems Society of the IEEE in 1994 (for a paper co-authored with S.-L. Chung and F. Lin) and in 2001 (for a paper co-authored with G. Barrett). Lafortune's research interests are in discrete event systems andinclude multiple problem domains: modeling, diagnosis, control, optimization, and applications to computer and software systems. He co-authored, with C. Cassandras, the textbook “Introduction to Discrete Event Systems” (Third Edition, Springer, 2021). 

Bibliographic Information

  • Book Title: A Guide to Signals and Systems in Continuous Time

  • Authors: Stéphane Lafortune

  • DOI: https://doi.org/10.1007/978-3-030-93027-1

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2022

  • Hardcover ISBN: 978-3-030-93026-4Published: 12 March 2022

  • Softcover ISBN: 978-3-030-93029-5Published: 12 March 2023

  • eBook ISBN: 978-3-030-93027-1Published: 11 March 2022

  • Edition Number: 1

  • Number of Pages: XIV, 114

  • Number of Illustrations: 5 b/w illustrations

  • Topics: Signal, Image and Speech Processing, Control and Systems Theory, Fourier Analysis, Systems Theory, Control

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