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- Herausgeber: John Wiley & Sons
- Kategorie: Wissenschaft und neue Technologien
- Sprache: Englisch
This book aims to learn to use the basic concepts in signal processing. Each chapter is a reminder of the basic principles is presented followed by a series of corrected exercises. After resolution of these exercises, the reader can pretend to know those principles that are the basis of this theme. "We do not learn anything by word, but by example."
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Veröffentlichungsjahr: 2017
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Table of Contents
Cover
Title
Copyright
Preface
1 Fourier Series
1.1. Theoretical background
1.2. Exercises
1.3. Solutions to the exercises
2 Fourier Transform
2.1. Theoretical background
2.2. Exercises
2.3. Solutions to the exercises
3 Laplace Transform
3.1. Theoretical background
3.2. Exercise instruction
3.3. Solutions to the exercises
4 Integrals and Convolution Product
4.1. Theoretical background
4.2. Exercises
4.3. Solutions to the exercises
5 Correlation
5.1. Theoretical background
5.2. Exercises
5.3. Solutions to the exercises
6 Signal Sampling
6.1. Theoretical background
6.2. Exercises
6.3. Solutions to the exercises
Bibliography
Index
End User License Agreement
List of Tables
1 Fourier Series
Table 1.1. Recap of Fourier series formulas
2 Fourier Transform
Table 2.1. Fourier transform of common function
3 Laplace Transform
Table 3.1. Laplace transform of common function
List of Illustrations
1 Fourier Series
Figure 1.1. Periodic function
Figure 1.2. Physical spectrum and complex spectrum
Figure 1.3. Sinusoidal arc function
Figure 1.4. Trapezoid function
Figure 1.5. Saw tooth function
Figure 1.6. Exponential function.
Figure 1.7. Modulated Sinusoidal function
2 Fourier Transform
Figure 2.1. Plot of
Figure 2.2. Scale-change
Figure 2.3. Translation of the frequency scale
Figure 2.4. Ramp function
Figure 2.5. Derivative of the ramp function
Figure 2.6. Evolution following τ
Figure 2.7. Different forms of impulse
Figure 2.8. Derivatives of discontinuous functions
Figure 2.9. Linear function defined in parts and its derivatives
3 Laplace Transform
Figure 3.1. Periodic causal signal
Figure 3.2. Approximation of a step function
Figure 3.3. Approximation using line segments
4 Integrals and Convolution Product
Figure 4.1. Graphical representation of a convolution product
Figure 4.2. Outline of the convolution product
Figure 4.3. Unit step
Figure 4.4. Fourier transform of an eigenfunction
5 Correlation
Figure 5.1. Signal comparison
Figure 5.2. Graphical interpretation
6 Signal Sampling
Figure 6.1. Dirac comb function
Figure 6.2. Sampling principle
Figure 6.3. Spectrum of the sampled signal
Figure 6.4. Re-encountering the initial signal
Figure 6.5. Sample pulses
Figure 6.6. Finite width sampling
Figure 6.7. Sample and hold (S/H) sampling
Guide
Cover
Table of Contents
Begin Reading
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Fourier Analysis
Roger Ceschi
Jean-Luc Gautier
First published 2017 in Great Britain and the United States by ISTE Ltd and John Wiley & Sons, Inc.
Apart from any fair dealing for the purposes of research or private study, or criticism or review, as permitted under the Copyright, Designs and Patents Act 1988, this publication may only be reproduced, stored or transmitted, in any form or by any means, with the prior permission in writing of the publishers, or in the case of reprographic reproduction in accordance with the terms and licenses issued by the CLA. Enquiries concerning reproduction outside these terms should be sent to the publishers at the undermentioned address:
ISTE Ltd27-37 St George’s RoadLondon SW19 4EUUK
www.iste.co.uk
John Wiley & Sons, Inc.111 River StreetHoboken, NJ 07030USA
www.wiley.com
© ISTE Ltd 2017
The rights of Roger Ceschi, Jean-Luc Gautier to be identified as the authors of this work have been asserted by them in accordance with the Copyright, Designs and Patents Act 1988.
Library of Congress Control Number: 2016957604
British Library Cataloguing-in-Publication Data
A CIP record for this book is available from the British Library
ISBN 978-1-78630-109-3
Preface
This book is presented as a collection of exercises and their solutions that aim to help undergraduate and postgraduate students studying signal processing.
The exercises are originally from a book by B.P. Lathi entitled Signals, Systems and Communications, published by John Wiley.
In this book, we concern ourselves only with questions surrounding deterministic signals.
This book is not intended to be a lesson and thus we deemed it unnecessary to present all of the mathematical steps for demonstrating the solutions. We also intentionally ignored many of the inherent difficulties that stem from the formalism of the distributions we encounter.
We hope our mathematician readers understand some of the ambiguities or even uncertainties that may inevitably occur.
We highly encourage any readers interested in additional information and details surrounding the demonstrations to refer to the books included in the Bibliography.
Roger CESCHIJean-Luc GAUTIERNovember 2016
