Applied Laplace Transforms and Z-Transforms for Scientists and Engineers

A Computational Approach Using a Mathematica Package

Author: Urs Graf

Publisher: Springer Science & Business Media

ISBN: 9783764324278

Category: Computers

Page: 500

View: 469

The book presents theory and applications of Laplace and z-transforms together with a Mathematica package developed by the author. The package substantially enhances the built-in Laplace and z-transforms facilities of Mathematica. The emphasis lies on the computational and applied side, particularly in the fields of control engineering, electrical engineering, mechanics (heat conduction, diffusion, vibrations). Many worked out examples from engineering and sciences illustrate the applicability of the theory and the usage of the package.
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Introduction to the Laplace Transform

Author: Peter K.F. Kuhfittig

Publisher: Springer Science & Business Media

ISBN: 9780306310607

Category: Mathematics

Page: 205

View: 1140

The purpose of this book is to give an introduction to the Laplace transform on the undergraduate level. The material is drawn from notes for a course taught by the author at the Milwaukee School of Engineering. Based on classroom experience, an attempt has been made to (1) keep the proofs short, (2) introduce applications as soon as possible, (3) concentrate on problems that are difficult to handle by the older classical methods, and (4) emphasize periodic phenomena. To make it possible to offer the course early in the curriculum (after differential equations), no knowledge of complex variable theory is assumed. However, since a thorough study of Laplace. transforms requires at least the rudiments of this theory, Chapter 3 includes a brief sketch of complex variables, with many of the details presented in Appendix A. This plan permits an introduction of the complex inversion formula, followed by additional applications. The author has found that a course taught three hours a week for a quarter can be based on the material in Chapters 1, 2, and 5 and the first three sections of Chapter 7. If additional time is available (e.g., four quarter-hours or three semester-hours), the whole book can be covered easily. The author is indebted to the students at the Milwaukee School of Engineering for their many helpful comments and criticisms.
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Signal Processing for Neuroscientists

An Introduction to the Analysis of Physiological Signals

Author: Wim van Drongelen

Publisher: Elsevier

ISBN: 9780080467757

Category: Science

Page: 320

View: 2385

Signal Processing for Neuroscientists introduces analysis techniques primarily aimed at neuroscientists and biomedical engineering students with a reasonable but modest background in mathematics, physics, and computer programming. The focus of this text is on what can be considered the ‘golden trio’ in the signal processing field: averaging, Fourier analysis, and filtering. Techniques such as convolution, correlation, coherence, and wavelet analysis are considered in the context of time and frequency domain analysis. The whole spectrum of signal analysis is covered, ranging from data acquisition to data processing; and from the mathematical background of the analysis to the practical application of processing algorithms. Overall, the approach to the mathematics is informal with a focus on basic understanding of the methods and their interrelationships rather than detailed proofs or derivations. One of the principle goals is to provide the reader with the background required to understand the principles of commercially available analyses software, and to allow him/her to construct his/her own analysis tools in an environment such as MATLAB®. Multiple color illustrations are integrated in the text Includes an introduction to biomedical signals, noise characteristics, and recording techniques Basics and background for more advanced topics can be found in extensive notes and appendices A Companion Website hosts the MATLAB scripts and several data files: http://www.elsevierdirect.com/companion.jsp?ISBN=9780123708670
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Foundations of Digital Signal Processing

Theory, Algorithms and Hardware Design

Author: Patrick Gaydecki

Publisher: IET

ISBN: 0852964315

Category: Technology & Engineering

Page: 462

View: 8700

An excellent introductory text, this book covers the basic theoretical, algorithmic and real-time aspects of digital signal processing (DSP). Detailed information is provided on off-line, real-time and DSP programming and the reader is effortlessly guided through advanced topics such as DSP hardware design, FIR and IIR filter design and difference equation manipulation.
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Complex Variables and the Laplace Transform for Engineers

Author: Wilbur R. LePage

Publisher: Courier Corporation

ISBN: 0486136442

Category: Technology & Engineering

Page: 512

View: 6015

Acclaimed text on engineering math for graduate students covers theory of complex variables, Cauchy-Riemann equations, Fourier and Laplace transform theory, Z-transform, and much more. Many excellent problems.
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Introduction to Signal and System Analysis

Author: Kaliappan Gopalan

Publisher: Cengage Learning

ISBN: 0534466060

Category: Technology

Page: 655

View: 3619

The approach taken in Gopalan’s text is to introduce students to the concepts and mathematical tools necessary to understand and appreciate the wide array of exciting fields in Electrical Engineering such as signal processing, control systems, and communications. The book is structured to introduce the basic continuous-time signal and system analysis concepts as an extension of familiar circuit analysis methods. A strong theoretical foundation for signal analysis is built, leading students to successfully discuss the various system analysis methods used in practice today. Use of MATLAB with appropriate examples has been integrated throughout the book. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
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Introduction to Orthogonal Transforms

With Applications in Data Processing and Analysis

Author: Ruye Wang

Publisher: Cambridge University Press

ISBN: 0521516889

Category: Mathematics

Page: 568

View: 9650

A systematic, unified treatment of orthogonal transform methods that guides the reader from mathematical theory to problem solving in practice.
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Signals, Systems, Transforms, and Digital Signal Processing with MATLAB

Author: Michael Corinthios

Publisher: CRC Press

ISBN: 1420090496

Category: Technology & Engineering

Page: 1256

View: 3114

Signals, Systems, Transforms, and Digital Signal Processing with MATLAB® has as its principal objective simplification without compromise of rigor. Graphics, called by the author, "the language of scientists and engineers", physical interpretation of subtle mathematical concepts, and a gradual transition from basic to more advanced topics are meant to be among the important contributions of this book. After illustrating the analysis of a function through a step-by-step addition of harmonics, the book deals with Fourier and Laplace transforms. It then covers discrete time signals and systems, the z-transform, continuous- and discrete-time filters, active and passive filters, lattice filters, and continuous- and discrete-time state space models. The author goes on to discuss the Fourier transform of sequences, the discrete Fourier transform, and the fast Fourier transform, followed by Fourier-, Laplace, and z-related transforms, including Walsh–Hadamard, generalized Walsh, Hilbert, discrete cosine, Hartley, Hankel, Mellin, fractional Fourier, and wavelet. He also surveys the architecture and design of digital signal processors, computer architecture, logic design of sequential circuits, and random signals. He concludes with simplifying and demystifying the vital subject of distribution theory. Drawing on much of the author’s own research work, this book expands the domains of existence of the most important transforms and thus opens the door to a new world of applications using novel, powerful mathematical tools.
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Zeitdiskrete Signalverarbeitung

Author: Alan V. Oppenheim,Ronald W. Schafer

Publisher: Walter de Gruyter GmbH & Co KG

ISBN: 3486792962

Category: Technology & Engineering

Page: 1079

View: 972

Wer die Methoden der digitalen Signalverarbeitung erlernen oder anwenden will, kommt ohne das weltweit bekannte, neu gefaßte Standardwerk "Oppenheim/Schafer" nicht aus. Die Beliebtheit des Buches beruht auf den didaktisch hervorragenden Einführungen, der umfassenden und tiefgreifenden Darstellung der Grundlagen, der kompetenten Berücksichtigung moderner Weiterentwicklungen und der Vielzahl verständnisfördernder Aufgaben.
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Mathematical Foundations of Computer Networking

Author: Srinivasan Keshav

Publisher: Addison-Wesley

ISBN: 0132826135

Category: Computers

Page: 491

View: 2640

“To design future networks that are worthy of society’s trust, we must put the ‘discipline’ of computer networking on a much stronger foundation. This book rises above the considerable minutiae of today’s networking technologies to emphasize the long-standing mathematical underpinnings of the field.” –Professor Jennifer Rexford, Department of Computer Science, Princeton University “This book is exactly the one I have been waiting for the last couple of years. Recently, I decided most students were already very familiar with the way the net works but were not being taught the fundamentals–the math. This book contains the knowledge for people who will create and understand future communications systems." –Professor Jon Crowcroft, The Computer Laboratory, University of Cambridge The Essential Mathematical Principles Required to Design, Implement, or Evaluate Advanced Computer Networks Students, researchers, and professionals in computer networking require a firm conceptual understanding of its foundations. Mathematical Foundations of Computer Networking provides an intuitive yet rigorous introduction to these essential mathematical principles and techniques. Assuming a basic grasp of calculus, this book offers sufficient detail to serve as the only reference many readers will need. Each concept is described in four ways: intuitively; using appropriate mathematical notation; with a numerical example carefully chosen for its relevance to networking; and with a numerical exercise for the reader. The first part of the text presents basic concepts, and the second part introduces four theories in a progression that has been designed to gradually deepen readers’ understanding. Within each part, chapters are as self-contained as possible. The first part covers probability; statistics; linear algebra; optimization; and signals, systems, and transforms. Topics range from Bayesian networks to hypothesis testing, and eigenvalue computation to Fourier transforms. These preliminary chapters establish a basis for the four theories covered in the second part of the book: queueing theory, game theory, control theory, and information theory. The second part also demonstrates how mathematical concepts can be applied to issues such as contention for limited resources, and the optimization of network responsiveness, stability, and throughput.
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Introduction to Discrete Linear Controls

Theory and Application

Author: Albert B. Bishop

Publisher: Elsevier

ISBN: 1483277909

Category: Technology & Engineering

Page: 394

View: 8324

Introduction to Discrete Linear Controls: Theory and Applications focuses on the design, analysis, and operation of discrete-time decision processes. The publication first offers information on systems theory and discrete linear control systems, discrete control-system models, and the calculus of finite differences. Discussions focus on the calculus of finite differences and linear difference equations, summations, control of cylinder diameter, generalized discrete process controller with sampling, difference equations, control theory, and system models. The text then examines classical solution of linear difference equations with constant, inverse transformation, and measures and environmental effects of system performance. The manuscript takes a look at parameter selection in first-order systems considering sampling and instrumentation errors, second-order systems, and system instability, including responses of the generalized second-order process controller; criterion for stability of discrete linear systems; and proportional-plus-difference control. The publication is a valuable source of information for engineers, operations researchers, and systems analysts.
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Integral Transforms and Their Applications

Author: Lokenath Debnath

Publisher: CRC Press

ISBN: 9780849394584

Category: Mathematics

Page: 480

View: 6375

Integral Transforms and Their Applications, provides a systematic , comprehensive review of the properties of integral transforms and their applications to the solution of boundary and initial value problems. Over 750 worked examples, exercises, and applications illustrate how transform methods can be used to solve problems in applied mathematics, mathematical physics, and engineering. The specific applications discussed include problems in differential, integral, and difference equations; electric circuits and networks; vibrations and wave propagation; heat conduction; fractional derivatives and fractional integrals; dynamical systems; signal processing; quantum mechanics; atmosphere and ocean dynamics; physical chemistry; mathematical biology; and probability and statistics. Integral Transforms and Their Applications includes broad coverage the standard material on integral transforms and their applications, along with modern applications and examples of transform methods. It is both an ideal textbook for students and a sound reference for professionals interested in advanced study and research in the field.
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An Introduction to Laplace Transforms and Fourier Series

Author: Phil Dyke

Publisher: Springer Science & Business Media

ISBN: 1447163958

Category: Mathematics

Page: 318

View: 551

In this book, there is a strong emphasis on application with the necessary mathematical grounding. There are plenty of worked examples with all solutions provided. This enlarged new edition includes generalised Fourier series and a completely new chapter on wavelets. Only knowledge of elementary trigonometry and calculus are required as prerequisites. An Introduction to Laplace Transforms and Fourier Series will be useful for second and third year undergraduate students in engineering, physics or mathematics, as well as for graduates in any discipline such as financial mathematics, econometrics and biological modelling requiring techniques for solving initial value problems.
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Digital Signal Processing and Applications with the OMAP - L138 eXperimenter

Author: Donald S. Reay

Publisher: John Wiley & Sons

ISBN: 1118228952

Category: Science

Page: 450

View: 3711

Teaches digital signal processing concepts via hands-onexamples The OMAP-L138 eXperimenter is the latest inexpensive DSPdevelopment system to be adopted by the Texas InstrumentsUniversity Program. The OMAP-L138 processor contains both ARM andDSP cores and is aimed at portable and mobile multimediaapplications. This book concentrates on the demonstration ofreal-time DSP algorithms implemented on its C6748 DSP core. Digital Signal Processing and Applications with the OMAP-L138eXperimenter provides an extensive and comprehensive set ofprogram examples to aid instructors in teaching DSP in a laboratoryusing audio frequency signals—making it an ideal text for DSPcourses at senior undergraduate and postgraduate levels. Subjects covered include polling-based, interrupt-based, andDMA-based I/O methods, and how real-time programs may be run usingthe board support library (BSL), the DSP/BIOS real-time operatingsystem, or the DSP/BIOS Platform Support Package. Chapters include: Analog input and output with the OMAP-L138 eXperimenter Finite impulse response filters Infinite impulse response filters Fast Fourier transform Adaptive filters DSP/BIOS and platform support package Each chapter begins with a review of background theory and thenpresents a number of real-time program examples to reinforceunderstanding of that theory and to demonstrate the use of theOMAP-L138 eXperimenter and Texas Instruments Code Composer Studiointegrated development environment.
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Digital Signal Processing Using the ARM Cortex M4

Author: Donald S. Reay

Publisher: John Wiley & Sons

ISBN: 1119078296

Category: Technology & Engineering

Page: 316

View: 4568

Features inexpensive ARM® Cortex®-M4 microcontroller development systems available from Texas Instruments and STMicroelectronics. This book presents a hands-on approach to teaching Digital Signal Processing (DSP) with real-time examples using the ARM® Cortex®-M4 32-bit microprocessor. Real-time examples using analog input and output signals are provided, giving visible (using an oscilloscope) and audible (using a speaker or headphones) results. Signal generators and/or audio sources, e.g. iPods, can be used to provide experimental input signals. The text also covers the fundamental concepts of digital signal processing such as analog-to-digital and digital-to-analog conversion, FIR and IIR filtering, Fourier transforms, and adaptive filtering. Digital Signal Processing Using the ARM® Cortex®-M4: Uses a large number of simple example programs illustrating DSP concepts in real-time, in an electrical engineering laboratory setting Includes examples for both STM32F407 Discovery and the TM4C123 Launchpad, using Keil MDK-ARM, on a companion website Example programs for the TM4C123 Launchpad using Code Composer Studio version 6 available on companion website Digital Signal Processing Using the ARM® Cortex®-M4 serves as a teaching aid for university professors wishing to teach DSP using laboratory experiments, and for students or engineers wishing to study DSP using the inexpensive ARM® Cortex®-M4.
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Introduction to Applied Mathematics

Author: Lawrence Sirovich

Publisher: Springer Science & Business Media

ISBN: 146124580X

Category: Science

Page: 370

View: 8542

From the Preface: "The material in this book is based on notes for a course which I gave several times at Brown University. The target of the course was juniors and seniors majoring in applied mathematics, engineering and other sciences. My basic goal in the course was to teach standard methods, or what I regard as a basic "bag of tricks". In my opinion the material contained here, for the most part, does not depart widely from traditional subject matter. One such departure is the discussion of discrete linear systems. Besides being interesting in its own right, this topic is included because the treatment of such systems leads naturally to the use of discrete Fourier series, discrete Fourier transforms, and their extension, the Z-transform. On making the transition to continuous systems we derive their continuous analogues, viz., Fourier series, Fourier transforms, Fourier integrals and Laplace transforms. A main advantage to the approach taken is that a wide variety of techniques are seen to result from one or two very simple but central ideas. Above all, this course is intended as being one which gives the student a "can-do" frame of mind about mathematics. Students should be given confidence in using mathematics and not be made fearful of it. I have, therefore, forgone the theorem-proof format for a more informal style. Finally, a concerted effort was made to present an assortment of examples from diverse applications with the hope of attracting the interest of the student, and an equally dedicated effort was made to be kind to the reader."
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Introduction to Integral Equations with Applications

Author: A. Jerri

Publisher: John Wiley & Sons

ISBN: 9780471317340

Category: Mathematics

Page: 433

View: 8592

From the reviews of the First Edition: "Extremely clear, self-contained text . . . offers to a wide class of readers the theoretical foundations and the modern numerical methods of the theory of linear integral equations."-Revue Roumaine de Mathematiques Pures et Appliqu?es. Abdul Jerri has revised his highly applied book to make it even more useful for scientists and engineers, as well as mathematicians. Covering the fundamental ideas and techniques at a level accessible to anyone with a solid undergraduate background in calculus and differential equations, Dr. Jerri clearly demonstrates how to use integral equations to solve real-world engineering and physics problems. This edition provides precise guidelines to the basic methods of solutions, details more varied numerical methods, and substantially boosts the total of practical examples and exercises. Plus, it features added emphasis on the basic theorems for the existence and uniqueness of solutions of integral equations and points out the interrelation between differentiation and integration. Other features include: * A new section on integral equations in higher dimensions. * An improved presentation of the Laplace and Fourier transforms. * A new detailed section for Fredholm integral equations of the first kind. * A new chapter covering the basic higher quadrature numerical integration rules. * A concise introduction to linear and nonlinear integral equations. * Clear examples of singular integral equations and their solutions. * A student's solutions manual available directly from the author.
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Signals and Systems

Author: A. ANAND KUMAR

Publisher: PHI Learning Pvt. Ltd.

ISBN: 8120348400

Category: Technology & Engineering

Page: 1044

View: 1960

The Third Edition of this well-received text continues to provide coherent and comprehensive coverage of signals and systems. It is designed for undergraduate students of electronics and communication engineering, telecommunication engineering, electronics and instrumentation engineering, and electrical and electronics engineering. The book will also be useful to AMIE and IETE students. Written with student-centred, pedagogically driven approach, the text provides a self-contained introduction to the theory of signals and systems. This book looks at the concepts of systems, and also examines signals and the way that signals interact with physical systems. It covers topics ranging from basic signals and systems to signal analysis, properties of continuous-time Fourier transforms including Fourier transforms of standard signals, signal transmission through linear systems, relation between convolution and correlation of signals, sampling theorems and techniques, and transform analysis of LTI systems. All the solved and unsolved problems in this book are designed to illustrate the topics in a clear way. New to This Edition MATLAB Programs at the end of each chapter Key Features • Numerous worked-out examples in each chapter • Short questions with answers help students to prepare for examinations • Objective type questions and unsolved problems at the end of each chapter to test the level of understanding of the subject.
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