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Applied Laplace Transforms And Z Transforms For Scientists And Engineers

Applied Laplace Transforms and z Transforms for Scientists and Engineers PDF
Author: Urs Graf
Publisher: Birkhäuser
ISBN: 303487846X
Size: 78.49 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 500
View: 3780

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The theory of Laplace transformation is an important part of the mathematical background required for engineers, physicists and mathematicians. Laplace transformation methods provide easy and effective techniques for solving many problems arising in various fields of science and engineering, especially for solving differential equations. What the Laplace transformation does in the field of differential equations, the z-transformation achieves for difference equations. The two theories are parallel and have many analogies. Laplace and z transformations are also referred to as operational calculus, but this notion is also used in a more restricted sense to denote the operational calculus of Mikusinski. This book does not use the operational calculus of Mikusinski, whose approach is based on abstract algebra and is not readily accessible to engineers and scientists. The symbolic computation capability of Mathematica can now be used in favor of the Laplace and z-transformations. The first version of the Mathematica Package LaplaceAndzTransforrns developed by the author appeared ten years ago. The Package computes not only Laplace and z-transforms but also includes many routines from various domains of applications. Upon loading the Package, about one hundred and fifty new commands are added to the built-in commands of Mathematica. The code is placed in front of the already built-in code of Laplace and z-transformations of Mathematica so that built-in functions not covered by the Package remain available. The Package substantially enhances the Laplace and z-transformation facilities of Mathematica. The book is mainly designed for readers working in the field of applications.

Signals And Systems

Signals and Systems PDF
Author: Oktay Alkin
Publisher: CRC Press
ISBN: 1466598530
Size: 25.68 MB
Format: PDF, ePub, Mobi
Category : Computers
Languages : en
Pages : 1122
View: 1141

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Drawing on the author’s 25+ years of teaching experience, Signals and Systems: A MATLAB® Integrated Approach presents a novel and comprehensive approach to understanding signals and systems theory. Many texts use MATLAB® as a computational tool, but Alkin’s text employs MATLAB both computationally and pedagogically to provide interactive, visual reinforcement of the fundamentals, including the characteristics of signals, operations used on signals, time and frequency domain analyses of systems, continuous-time and discrete-time signals and systems, and more. In addition to 350 traditional end-of-chapter problems and 287 solved examples, the book includes hands-on MATLAB modules consisting of: 101 solved MATLAB examples, working in tandem with the contents of the text itself 98 MATLAB homework problems (coordinated with the 350 traditional end-of-chapter problems) 93 GUI-based MATLAB demo programs that animate key figures and bring core concepts to life 23 MATLAB projects, more involved than the homework problems (used by instructors in building assignments) 11 sections of standalone MATLAB exercises that increase MATLAB proficiency and enforce good coding practices Each module or application is linked to a specific segment of the text to ensure seamless integration between learning and doing. A solutions manual, all relevant MATLAB code, figures, presentation slides, and other ancillary materials are available on an author-supported website or with qualifying course adoption. By involving students directly in the process of visualization, Signals and Systems: A MATLAB® Integrated Approach affords a more interactive—thus more effective—solution for a one- or two-semester course on signals and systems at the junior or senior level.

Mathematical Reviews

Mathematical Reviews PDF
Author:
Publisher:
ISBN:
Size: 18.88 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages :
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Lecture Notes On Z Transform

Lecture Notes on Z Transform PDF
Author: Refaat El Attar
Publisher: Lulu.com
ISBN: 141161979X
Size: 65.15 MB
Format: PDF
Category : Technology & Engineering
Languages : en
Pages : 84
View: 3857

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Z-Transform is one of several transforms that are essential ? mathematical tools used in engineering and applied sciences. This ? short edition of this note is written to provide an introduction to the ? subject of Z-Transform. The material presented in this note can be ? covered in four to five 2-hour classroom lectures. Basic knowledge of ? calculus is needed. The note is not intended as a substitute for a text ? book on the subject. It is intended to help readers and students in ? engineering, mathematics and applied sciences understand the basic properties of Z-? Transform and some of the methods and techniques based on this ? transform to solve some engineering and science problems.? I have collected many examples and problems on the subject ? that might help the reader getting on-hand experience with the ? techniques presented in this note.?

An Introduction To Laplace Transforms And Fourier Series

An Introduction to Laplace Transforms and Fourier Series PDF
Author: Phil Dyke
Publisher: Springer
ISBN: 9781447163947
Size: 39.85 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 318
View: 5213

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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.

Linear Differential And Difference Equations

Linear Differential and Difference Equations PDF
Author: R. M. Johnson
Publisher: Elsevier
ISBN: 0857099809
Size: 67.22 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 176
View: 7149

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This text for advanced undergraduates and graduates reading applied mathematics, electrical, mechanical, or control engineering, employs block diagram notation to highlight comparable features of linear differential and difference equations, a unique feature found in no other book. The treatment of transform theory (Laplace transforms and z-transforms) encourages readers to think in terms of transfer functions, i.e. algebra rather than calculus. This contrives short-cuts whereby steady-state and transient solutions are determined from simple operations on the transfer functions. Employs block diagram notation to highlight comparable features of linear differential and difference equations The treatment of transform theory (Laplace transforms and z-transforms) encourages readers to think in terms of transfer functions, i.e. algebra rather than calculus

Integral Transforms And Their Applications Third Edition

Integral Transforms and Their Applications  Third Edition PDF
Author: Lokenath Debnath
Publisher: CRC Press
ISBN: 1482223570
Size: 73.75 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 818
View: 3869

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Integral Transforms and Their Applications, Third Edition covers advanced mathematical methods for many applications in science and engineering. The book is suitable as a textbook for senior undergraduate and first-year graduate students and as a reference for professionals in mathematics, engineering, and applied sciences. It presents a systematic development of the underlying theory as well as a modern approach to Fourier, Laplace, Hankel, Mellin, Radon, Gabor, wavelet, and Z transforms and their applications. New to the Third Edition New material on the historical development of classical and modern integral transforms New sections on Fourier transforms of generalized functions, the Poisson summation formula, the Gibbs phenomenon, and the Heisenberg uncertainty principle Revised material on Laplace transforms and double Laplace transforms and their applications New examples of applications in mechanical vibrations, electrical networks, quantum mechanics, integral and functional equations, fluid mechanics, mathematical statistics, special functions, and more New figures that facilitate a clear understanding of physical explanations Updated exercises with solutions, tables of integral transforms, and bibliography Through numerous examples and end-of-chapter exercises, this book develops readers’ analytical and computational skills in the theory and applications of transform methods. It provides accessible working knowledge of the analytical methods and proofs required in pure and applied mathematics, physics, and engineering, preparing readers for subsequent advanced courses and research in these areas.

Digital Filters Analysis Design And Signal Processing Applications

Digital Filters  Analysis  Design  and Signal Processing Applications PDF
Author: Andreas Antoniou
Publisher: McGraw Hill Professional
ISBN: 0071846042
Size: 21.91 MB
Format: PDF, ePub, Docs
Category : Technology & Engineering
Languages : en
Pages : 977
View: 6816

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Up-to-date digital filter design principles, techniques, and applications Written by a Life Fellow of the IEEE, this comprehensive textbook teaches digital filter design, realization, and implementation and provides detailed illustrations and real-world applications of digital filters to signal preocessing. Digital Filters: Analysis, Design, and Signal Processing Applications provides a solid foundation in the fundamentals and concepts of DSP and continues with state-of-the-art methodologies and algorithms for the design of digital filters. You will get clear explanations of key topics such as spectral analysis, discrete-time systems, and the sampling process.. This hands-on resource is supported by a rich collection of online materials which include PDF presentations, detailed solutions of the end-of-chapter problems, MATLAB programs that can be used to analyze and design digital filters of professional quality, and also the author’s DSP software D-Filter. Coverage includes: •Discrete-time systems •The Fourier series and transform •The Z transform •Application of transform theory to systems •The sampling process •The discrete Fourier transform •The window technique •Realization of digital filters •Design of recursive and nonrecursive filters •Approximations for analog filters •Recursive filters satisfying prescribed specifications •Effects of finite word length on digital filters •Design of recursive and nonrecursive filters using optimization methods •Wave digital filters •Signal processing applications