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- Signals and Systems using MATLAB
- Signals and Systems Using MATLAB, 3rd edition
- Signals and Systems Using MATLAB

*This new edition features more end-of-chapter problems, new content on two-dimensional signal processing, and discussions of the state-of-the-art in signal processing. Luis F. Whether you are transitioning a classroom course to a hybrid model, developing virtual labs, or launching a fully online program, MathWorks can help you foster active learning no matter where it takes place.*

Sign Up or Sign In. Resources and networking for those who conduct or interpret meta-analyses related to any phenomenon that is gauged in multiple studies. Chaparro Department of of the manuscript, and the generation of the solution manual especially from Ms. The answers shown at the bottom. Properties of 4.

## Signals and Systems using MATLAB

Views 5, Downloads File size 6MB. Chapter 1. Introduction to Signals 1. All rights reserved. Copyright No part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying, recording, or any information storage and retrieval system, without permission in writing from the publisher.

This book and the individual contributions contained in it are protected under copyright by the Publisher other than R as may be noted herein. The MathWorks R does not warrant the accuracy of the text or exercises in this book. Notices Knowledge and best practice in this field are constantly changing. As new research and experience broaden our understanding, changes in research methods, professional practices, or medical treatment may become necessary. Practitioners and researchers must always rely on their own experience and knowledge in evaluating and using any information, methods, compounds, or experiments described herein.

In using such information or methods they should be mindful of their own safety and the safety of others, including parties for whom they have a professional responsibility. ISBN 1. Signal processing—Digital techniques. System analysis. C For information on all Academic Press publications visit our Web site at www.

Analog or Discrete? Complex or Real? Representation Using Basic Signals Special Signals—the Sampling Signal and the Sinc What Have We Accomplished? Where Do We Go from Here? Time Shifting Convolution Integral Analysis of LTI Systems Convolution and Filtering Additional Properties What Is Next? Analog Filtering The Nyquist-Shannon Sampling Theorem Discrete-Time Systems The theory of signals and systems is one of those fundamentals, and it will be the foundation of much research and development in engineering for years to come.

Not only engineers will need to know about signals and systems—to some degree everybody will. The pervasiveness of computers, cell phones, digital recording, and digital communications will require it. Learning as well as teaching signals and systems is complicated by the combination of mathematical abstraction and concrete engineering applications. Mathematical sophistication and maturity in engineering are needed.

We consider the use of MATLAB, an essential tool in the practice of engineering, of great significance in the learning process. It not only helps to illustrate the theoretical results but makes students aware of the computational issues that engineers face in implementing them.

LEVEL The material in this textbook is intended for courses in signals and systems at the junior level in electrical and computer engineering, but it could also be used in teaching this material to mechanical engineering and bioengineering students and it might be of interest to students in applied mathematics.

The material is organized so that students not only get a solid understanding of the theory—through analytic examples as well as software examples using MATLAB—and learn about applications, but also develop confidence and proficiency in the material by working on problems.

The content is guided by the goal of nurturing the interest of students in applications, and of assisting them in becoming more sophisticated mathematically. In teaching signals and systems, the author has found that students typically lack basic skills in manipulating complex variables, in understanding differential equations, and are not yet comfortable with basic concepts in calculus.

Introducing discrete-time signals and systems makes students face new concepts that were not explored in their calculus courses, such as summations, finite differences, and difference equations. This text attempts to fill the gap and nurture interest in the mathematical tools. The material is divided into three parts: introduction, theory and applications of continuous-time signals and systems, and theory and applications of discrete-time signals and systems.

To help students understand the connection between continuous- and discrete-time signals and systems, the connection between infinitesimal and finite calculus is made in the introduction part, together with a motivation as to why complex numbers and functions are used in the study of signals and systems.

The treatment of continuous- and discrete-time signals and systems is then done separately in the next two parts; combining them is found to be confusing to students. Likewise, the author believes it is important for students to understand the connections and relevance of each of the transformations used in the analysis of signals and systems so that these transformations are seen as a progression rather than as disconnected methods.

Thus, the author advocates the presentation of the Laplace analysis followed by the Fourier analysis, and the Z-transform followed by the discrete Fourier, and capping each of these topics with applications to communications, control, and filtering.

The mathematical abstraction and the applications become more sophisticated as the material unfolds, taking advantage as needed of the background on circuits that students have. An overview of the topics to be discussed in the book and how each connects with some basic mathematical concepts—needed in the rest of the book—is given in Chapter 0 analogous to the ground floor of a building.

The emphasis is in relating summations, differences, difference equations, and sequence of numbers with the calculus concepts that the students are familiar with, and in doing so providing a new interpretation to integrals, derivatives, differential equations, and functions of time. This chapter also links the theory of complex numbers and functions to vectors and to phasors learned in circuit theory.

Because we strongly believe that the material in this chapter should be covered before beginning the discussion of signals and systems, it is not relegated to an appendix but placed at the front of the book where it cannot be ignored.

Plenty of analytic examples with different levels of complexity are given to illustrate issues. Each chapter has a set of examples in MATLAB, illustrating topics presented in the text or special issues that the student should know. To help students follow the mathematical derivations, we provide extra steps whenever necessary and do not skip steps that are necessary in the understanding of a derivation. Summaries of important issues are boxed and concepts and terms are emphasized to help students grasp the main points and terminology.

Without any doubt, learning the material in signals and systems requires working analytical as well as computational problems. It is important to provide problems of different levels of complexity to exercise not only basic problem-solving skills, but to achieve a level of proficiency and mathematical sophistication. The problems at the end of the chapter are of different types, some to be done analytically, others using Preface MATLAB, and some both. The repetitive type of problem was avoided.

Some of the problems explore issues not covered in the text but related to it. The MATLAB problems were designed so that a better understanding of the theoretical concepts is attained by the student working them out.

We feel two additional features would be beneficial to students. One is the inclusion of quotations and footnotes to present interesting ideas or historical comments, and the other is the inclusion of sidebars that attempt to teach historical or technical information that students should be aware of.

The theory of signals and systems clearly connects with mathematics and a great number of mathematicians have contributed to it. Likewise, there is a large number of engineers who have contributed significantly to the development and application of signals and systems.

All of them need to be recognized for their contributions, and we should learn from their experiences. Finally, other features are: 1 the design of the index of the book so that it can be used by students to find definitions, symbols, and MATLAB functions used in the text; and 2 a list of references to the material.

The second part of the book covers the basics of continuous-time signals and systems and illustrates their application. Because the concepts of signals and systems are relatively new to students, we provide an extensive and complete presentation of these topics in Chapters 1 and 2. The presentation in Chapter 1 goes from a very general characterization of signals to very specific classes that will be used in the rest of the book.

One of the aims is to familiarize students with continuous-time as well as discrete-time signals so as to avoid confusion in their processing later on—a common difficulty encountered by students. Chapter 1 initiates the representation of signals in terms of basic signals that will be easily processed later with the transform methods.

Chapter 2 introduces the general concept of systems, in particular continuous-time systems. Using linearity and time invariance, the computation of the output of a continuous-time system using the convolution integral is introduced and illustrated with relatively simple examples. More complex examples are treated with the Laplace transform in the following chapter. Chapter 3 covers the basics of the Laplace transform and its application in the analysis of continuous-time signals and systems.

It introduces the student to the concept of poles and zeros, damping and frequency, and their connection with the signal as a function of time. This chapter emphasizes the solution of differential equations representing linear time-invariant LTI systems, paying special attention to transient solutions due to their importance in control, as well as to steady-state solutions due to their importance in filtering and in communications. The convolution integral is dealt with in time and using the Laplace transform to emphasize the operational power of the transform.

The important concept of transfer function for LTI systems and the significance of its poles and zeros are studied in detail. Fourier analysis of continuous-time signals and systems is covered in detail in Chapters 4 and 5. The Fourier series analysis of periodic signals, covered in Chapter 4, is extended to the analysis of aperiodic signals resulting in the Fourier transform of Chapter 5.

The Fourier transform is useful in representing both periodic and aperiodic signals. Special attention is given to the connection of these methods with the Laplace transform so that, whenever possible, known Laplace transforms can be used to compute the Fourier series coefficients and the Fourier transform—thus avoiding integration but using the concept of the region of convergence. The concept of frequency, the response of the system connected to the location of poles and zeros of the transfer function , and the steady-state response are emphasized in these chapters.

The ordering of the presentation of the Laplace and the Fourier transformations similar to the Z-transform and the Fourier representation of discrete-time signals is significant for learning and teaching of the material. For one, students coming into a signals and systems course have been familiarized with the Laplace transform in their previous circuits or differential equations courses, and will continue using it in control courses.

So expertise in this topic is important and the learned material will stay with them longer. Another is that a common difficulty students have in applying the Fourier series and the Fourier transform is connected with the required integration.

The Laplace transform can be used not only to sidestep the integration but to provide a more comprehensive understanding of the frequency representation. More importantly, these transforms can be seen as a continuum rather than as different transforms. It also makes theoretical sense to deal with the Laplace representation of systems first to justify the existence of the steady-state solution considered in the Fourier representations, which would not exist unless stability of the system is guaranteed, and stability can only be tested using the Laplace transform.

The paradigm of interest is the connection of transient and steady-state responses that must be understood by students before they can understand the connections between Fourier and Laplace analyses.

Chapter 6 presents applications of the Laplace and the Fourier transforms to control, communications, and filtering. The intent of the chapter is to motivate interest in these areas. The chapter illustrates the significance of the concepts of transfer function, response of systems, and stability in control, and of modulation in communications.

## Signals and Systems Using MATLAB, 3rd edition

Views 5, Downloads File size 6MB. Chapter 1. Introduction to Signals 1. All rights reserved. Copyright No part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying, recording, or any information storage and retrieval system, without permission in writing from the publisher. This book and the individual contributions contained in it are protected under copyright by the Publisher other than R as may be noted herein.

Signals and Systems Using MATLAB Luis F. Chaparro Department of Electrical and Computer Engineering University of Pittsburgh AMSTERDAM • BOSTON.

## Signals and Systems Using MATLAB

Embed Size px x x x x Tags: signals and systems using matlab solutions, signalsand systems using matlab, Signals and Systems For Dummies, , Solution manual solutions manual solution manual intructor manual

Chaparro Copyright , Elsevier, Inc. All rights reserved. Thus, relating any sinusoid to the corresponding cosine, the magnitude and angle of this cosine gives the magnitude and phase of the phasor that generates the given sinusoid.

*Historical notes and common mistakes combined with applications in controls, communications and signal processing help students understand and appreciate the usefulness of the techniques described in the text.*

Signals and Systems using MATLAB - Second -This new textbook in signals and systems provides a pedagogically rich approachto what can commonly be a mathematically dry subject. Be the first. Rentcollege textbooks as an eBook for less.

Library of Congress Cataloging-in-Publication Data. Chaparro, Luis F. Signals and systems using MATLAB / Luis F. Chaparro. p. cm. ISBN

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