The Fourier Transform and Its Applications

Author: Ronald Newbold Bracewell
Publisher: McGraw-Hill Science, Engineering & Mathematics
ISBN: UCSD:31822031267685
Release Date: 2000
Genre: Mathematics

This text is designed for use in a senior undergraduate or graduate level course in Fourier Transforms. This text differs from many other fourier transform books in its emphasis on applications. Bracewell applies mathematical concepts to the physical world throughout this text, equipping students to think about the world and physics in terms of transforms.The pedagogy in this classic text is excellent. The author has included such tools as the pictorial dictionary of transforms and bibliographic references. In addition, there are many excellent problems throughout this book, which are more than mathematical exercises, often requiring students to think in terms of specific situations or asking for educated opinions. To aid students further, discussions of many of the problems can be found at the end of the book.

Circuits Signals and Systems

Author: William McC. Siebert
Publisher: MIT Press
ISBN: 0262192292
Release Date: 1986
Genre: Computers

These twenty lectures have been developed and refined by Professor Siebert during the more than two decades he has been teaching introductory Signals and Systems courses at MIT. The lectures are designed to pursue a variety of goals in parallel: to familiarize students with the properties of a fundamental set of analytical tools; to show how these tools can be applied to help understand many important concepts and devices in modern communication and control engineering practice; to explore some of the mathematical issues behind the powers and limitations of these tools; and to begin the development of the vocabulary and grammar, common images and metaphors, of a general language of signal and system theory. Although broadly organized as a series of lectures, many more topics and examples (as well as a large set of unusual problems and laboratory exercises) are included in the book than would be presented orally. Extensive use is made throughout of knowledge acquired in early courses in elementary electrical and electronic circuits and differential equations. Contents: Review of the "classical" formulation and solution of dynamic equations for simple electrical circuits; The unilateral Laplace transform and its applications; System functions; Poles and zeros; Interconnected systems and feedback; The dynamics of feedback systems; Discrete-time signals and linear difference equations; The unilateral Z-transform and its applications; The unit-sample response and discrete-time convolution; Convolutional representations of continuous-time systems; Impulses and the superposition integral; Frequency-domain methods for general LTI systems; Fourier series; Fourier transforms and Fourier's theorem; Sampling in time and frequency; Filters, real and ideal; Duration, rise-time and bandwidth relationships: The uncertainty principle; Bandpass operations and analog communication systems; Fourier transforms in discrete-time systems; Random Signals; Modern communication systems. William Siebert is Ford Professor of Engineering at MIT. Circuits, Signals, and Systems is included in The MIT Press Series in Electrical Engineering and Computer Science, copublished with McGraw-Hill.

Academic Press Library in Signal Processing

Publisher: Academic Press
ISBN: 9780123972262
Release Date: 2013-09-21
Genre: Technology & Engineering

This first volume, edited and authored by world leading experts, gives a review of the principles, methods and techniques of important and emerging research topics and technologies in machine learning and advanced signal processing theory. With this reference source you will: Quickly grasp a new area of research Understand the underlying principles of a topic and its application Ascertain how a topic relates to other areas and learn of the research issues yet to be resolved Quick tutorial reviews of important and emerging topics of research in machine learning Presents core principles in signal processing theory and shows their applications Reference content on core principles, technologies, algorithms and applications Comprehensive references to journal articles and other literature on which to build further, more specific and detailed knowledge Edited by leading people in the field who, through their reputation, have been able to commission experts to write on a particular topic

Mathematical Foundations for Linear Circuits and Systems in Engineering

Author: John J. Shynk
Publisher: John Wiley & Sons
ISBN: 9781119073475
Release Date: 2016-01-26
Genre: Mathematics

Extensive coverage of mathematical techniques used in engineering with an emphasis on applications in linear circuits and systems Mathematical Foundations for Linear Circuits and Systems in Engineering provides an integrated approach to learning the necessary mathematics specifically used to describe and analyze linear circuits and systems. The chapters develop and examine several mathematical models consisting of one or more equations used in engineering to represent various physical systems. The techniques are discussed in-depth so that the reader has a better understanding of how and why these methods work. Specific topics covered include complex variables, linear equations and matrices, various types of signals, solutions of differential equations, convolution, filter designs, and the widely used Laplace and Fourier transforms. The book also presents a discussion of some mechanical systems that mathematically exhibit the same dynamic properties as electrical circuits. Extensive summaries of important functions and their transforms, set theory, series expansions, various identities, and the Lambert W-function are provided in the appendices. The book has the following features: Compares linear circuits and mechanical systems that are modeled by similar ordinary differential equations, in order to provide an intuitive understanding of different types of linear time-invariant systems. Introduces the theory of generalized functions, which are defined by their behavior under an integral, and describes several properties including derivatives and their Laplace and Fourier transforms. Contains numerous tables and figures that summarize useful mathematical expressions and example results for specific circuits and systems, which reinforce the material and illustrate subtle points. Provides access to a companion website that includes a solutions manual with MATLAB code for the end-of-chapter problems. Mathematical Foundations for Linear Circuits and Systems in Engineering is written for upper undergraduate and first-year graduate students in the fields of electrical and mechanical engineering. This book is also a reference for electrical, mechanical, and computer engineers as well as applied mathematicians. John J. Shynk, PhD, is Professor of Electrical and Computer Engineering at the University of California, Santa Barbara. He was a Member of Technical Staff at Bell Laboratories, and received degrees in systems engineering, electrical engineering, and statistics from Boston University and Stanford University.

Circuits and systems

Author: Athanasios Papoulis
Publisher: Oxford University Press, USA
ISBN: STANFORD:36105030234517
Release Date: 1980
Genre: Business & Economics

Athanasios Papoulis' classic text was the first to present digital techniques as an integral part of a unified course in system theory and design, rather than as a separate unit. The enduring success of Circuits and Systems undoubtedly is due in large part to the author's concentration on fundamental ideas explained in the context of simple illustrations. The text develops analog systems parallel to digital systems, emphasizes the concepts of linearity, superposition, impulse response, frequency response, and system function. Laplace transforms and z-transforms are treated briefly, but completely, and the introduction to digital and sampled-analog simulation is based on the approximation of the convolution integral by a sum. The development of the material as a deductive discipline strengthens the student's analytical ability in the engineering course.

Digital Signal Processing

Author: Andreas Antoniou
Publisher: McGraw Hill Professional
ISBN: 9780071589048
Release Date: 2005-10-10
Genre: Technology & Engineering

An up-to-the-minute textbook for junior/senior level signal processing courses and senior/graduate level digital filter design courses, this text is supported by a DSP software package known as D-Filter which would enable students to interactively learn the fundamentals of DSP and digital-filter design. The book includes a free license to D-Filter which will enable the owner of the book to download and install the most recent version of the software as well as future updates.

The Nonuniform Discrete Fourier Transform and Its Applications in Signal Processing

Author: Sonali Bagchi
Publisher: Springer Science & Business Media
ISBN: 9781461549253
Release Date: 2012-12-06
Genre: Technology & Engineering

The growth in the field of digital signal processing began with the simulation of continuous-time systems in the 1950s, even though the origin of the field can be traced back to 400 years when methods were developed to solve numerically problems such as interpolation and integration. During the last 40 years, there have been phenomenal advances in the theory and application of digital signal processing. In many applications, the representation of a discrete-time signal or a sys tem in the frequency domain is of interest. To this end, the discrete-time Fourier transform (DTFT) and the z-transform are often used. In the case of a discrete-time signal of finite length, the most widely used frequency-domain representation is the discrete Fourier transform (DFT) which results in a finite length sequence in the frequency domain. The DFT is simply composed of the samples of the DTFT of the sequence at equally spaced frequency points, or equivalently, the samples of its z-transform at equally spaced points on the unit circle. The DFT provides information about the spectral contents of the signal at equally spaced discrete frequency points, and thus, can be used for spectral analysis of signals. Various techniques, commonly known as the fast Fourier transform (FFT) algorithms, have been advanced for the efficient com putation of the DFT. An important tool in digital signal processing is the linear convolution of two finite-length signals, which often can be implemented very efficiently using the DFT.

Schaum s Outline of Signals and Systems Second Edition

Author: Hwei Hsu
Publisher: McGraw Hill Professional
ISBN: 9780071634731
Release Date: 2010-08-27
Genre: Technology & Engineering

A classic Schaum's Outline, thoroughly updated to match the latest course scope and sequence. The ideal review for the thousands of engineering students who need to know the signals and systems concepts needed in almost all electrical engineering fields and in many other scientific and engineering disciplines. About the Book This updated edition of the successful outline in signals and systems is revised to conform to the current curriculum. Schaum's Outline of Signals and Systems mirrors the standard course in scope and sequence. It helps students understand basic concepts and offers problem-solving practice in topics such as transform techniques for the analysis of LTI systems, the LaPlace transform and its application to continuous-time and discrete-time LTI systems, Fourier analysis of signals and systems, and the state space or state variable concept and analysis for both discrete-time and continuous-time systems. Key Selling Features Outline format supplies a concise guide to the standard college course in signals and systems 571 solved problems Additional material on matrix theory and complex numbers Clear, concise explanations of all signals and systems concepts Appropriate for the following courses: Basic Circuit Analysis, Electrical Circuits, Electrical Engineering and Circuit Analysis, Introduction to Circuit Analysis, AC and DC Circuits Record of Success: Schaum's Outline of Signals and Systems is a solid selling title in the series—with previous edition having sold over 33,000 copies since 1999. Easily-understood review of signals and systems Supports all the major textbooks for electrical engineering courses kin electric circuits Supports the following bestselling textbooks: Oppenheim: Signals and Systems 2ed, 0138147574, $147.00, Prentice Hall, 1996. Lathi: Linear Systems and Signals 4ed, 9780195158335, $147.00, Oxford U. Press, 2004. McClellan, Signal Processing First, 2ed, 0130909998, $147.00, Prentice Hall, 2003. Kamen: Fundamentals of Signals and Systems Using the Web and MATLAB 3ed, 9780131687370, $147.00, Prentice Hall, 2006. Market / Audience Primary: For all electrical engineering students who need to learn or refresh their understanding of continuous-time and discrete-time electrical signals and systems. Secondary: Graduate students and professionals looking for a tool for review Enrollment: Basic Circuit Analysis – 1,054, Electrical Circuits – 21,921; Electrical Engineering and Circuit Analysis – 52,590; Introduction to Circuit Analysis – 2,700; AC and DC Circuits – 3,800 Author Profile Hwei P. Hsu (Audubon, PA) was Professor of Electrical Engineering at Fairleigh Dickinson University. He received his B.S. from National Taiwan University and M.S. and Ph.D. from Case Institute of Technology. He has published several books which include Schaum's Outline of Analog and Digital Communications and Schaum's Outline of Probability, Random Variables, and Random Processes.

The Molliwumps

Author: Cecil Maiden
ISBN: 0971461295
Release Date: 2004-10-01
Genre: Fiction

Two Victorian fairies are assigned to reunite two friends by Christmas and if they can succeed, the fairies will be put back on the active list of the Fairies Guild.

Signals and Systems using MATLAB

Author: Luis Chaparro
Publisher: Academic Press
ISBN: 9780123948434
Release Date: 2014-02-10
Genre: Technology & Engineering

This new textbook in signals and systems provides a pedagogically rich approach to what can commonly be a mathematically dry subject. With features like historical notes, highlighted common mistakes, and applications in controls, communications, and signal processing, Chaparro helps students appreciate the usefulness of the techniques described in the book. Each chapter contains a section with MatLab applications. Pedagogically rich introduction to signals and systems using historical notes, pointing out "common mistakes", and relating concepts to realistic examples throughout to motivate learning the material Introduces both continuous and discrete systems early, then studies each (separately) in more depth later Extensive set of worked examples and homework assignments, with applications to controls, communications, and signal processing throughout Provides review of all the background math necessary to study the subject MatLab applications in every chapter

Fourier Transforms

Author: Eric W. Hansen
Publisher: John Wiley & Sons
ISBN: 9781118901793
Release Date: 2014-10-01
Genre: Mathematics

Fourier Transforms: Principles and Applications explains transform methods and their applications to electrical systems from circuits, antennas, and signal processors—ably guiding readers from vector space concepts through the Discrete Fourier Transform (DFT), Fourier series, and Fourier transform to other related transform methods. Featuring chapter end summaries of key results, over two hundred examples and four hundred homework problems, and a Solutions Manual this book is perfect for graduate students in signal processing and communications as well as practicing engineers. Class-tested at Dartmouth Provides the same solid background as classic texts in the field, but with an emphasis on digital and other contemporary applications to signal and image processing Modular coverage of material allows for topics to be covered by preference MATLAB files and Solutions Manual available to instructors Over 300 figures, 200 worked examples, and 432 homework problems

The Fourier Integral and Its Applications

Author: Athanasios Papoulis
Publisher: Dover Publications
ISBN: 0486823792
Release Date: 2018-09-28
Genre: Fourier series

Classic electrical engineering text, praised for its wealth of information, level of detail, and value as a reference for instructors and professionals. Enhanced throughout with useful examples and problems. 1962 edition.

Signal Analysis

Author: Athanasios Papoulis
Publisher: Dover Publications
ISBN: 0486823822
Release Date: 2018
Genre: Signal processing

Graduate-level text covers signals, systems, and transforms; selected topics, including Hilbert transforms and frequency modulation; and data smoothing and spectral estimation. Many drawings and about 100 problems, all with solutions. 1977 edition.