A Guide to Signals and Systems in Continuous Time

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.

這本教科書是傳統信號與系統書籍的簡潔而精確的補充，專注於連續時間的情況。學生可以使用這本指南來複習材料、加強他們的理解，並看到所有部分如何在數學清晰度的統一處理中相互連接。讀者將學習關於在工程學中研究線性時不變系統時所遇到的普遍傅立葉和拉普拉斯變換的「什麼」、「為什麼」和「如何」：這些變換是什麼，為什麼我們需要它們，以及我們如何使用它們？讀者將對從時域分析到頻域和s域技術的連續時間線性時不變系統的漸進過程有所了解。這本書反映了作者在大學二年級和三年級必修工程課程中教授這門課程超過25年的經驗，非常適合電氣工程本科課程使用。

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 and include 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).

Stéphane Lafortune出生於加拿大魁北克省蒙特利爾市。他於1980年在蒙特利爾理工學院獲得工學學士學位，於1982年在麥吉爾大學獲得工學碩士學位，並於1986年在加州大學伯克利分校獲得電機工程博士學位。自1986年9月起，他一直在密歇根大學安娜堡分校擔任電機工程和計算機科學教授。2018年3月，他被任命為N. Harris McClamroch大學教授，專攻電機工程和計算機科學。Lafortune是IEEE（1999年）和IFAC（2017年）的會士。他於1990年獲得美國國家科學基金會頒發的總統青年研究員獎，並於1994年（與S.-L. Chung和F. Lin合著的論文）和2001年（與G. Barrett合著的論文）獲得IEEE控制系統學會的Axelby傑出論文獎。Lafortune的研究興趣在於離散事件系統，包括多個問題領域：建模、診斷、控制、優化以及在計算機和軟件系統中的應用。他與C. Cassandras合著了教科書《Introduction to Discrete Event Systems》（第三版，Springer，2021年）。