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Guide to signals and systems in continuous time

By: Lafortune, Stéphane.
Publisher: Cham, Switzerland : Springer, 2022Description: xiv, 114 p. ; ill., 24 cm.ISBN: 9783030930264.Subject(s): Signal processing--Digital techniques--Mathematics | Signal processing--Mathematics | System analysis | Linear time invariant systems | Anti- aliasing filter | Band-limited signal | Convolution integral theorem | Damping ratio | Eigenfunction theorem | Frequency response function | Memoryless system | Natural frequency | Problem IO | Routh-Hurwitz criterion | Sampling function | Signum function | Transfer function | Whittaker-Shannon interpolation formulaDDC classification: 621.3822 Summary: 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.
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Includes bibliographical references and index.

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.

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