Mathematics for Circuits and Filters

Mathematics for Circuits and Filters PDF Author: Wai-Kai Chen
Publisher: CRC Press
ISBN: 1351838350
Category : Technology & Engineering
Languages : en
Pages : 274

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Book Description
Every engineering professional needs a practical, convenient mathematics resource, without extensive theory and proofs. Mathematics for Circuits and Filters stresses the fundamental theory behind professional applications, making an excellent, flexible resource that enables easy access to the information needed to deal with circuits and filters. The sections feature frequent examples and illustrations, reinforcing the basic theory. The examples also demonstrate applications of the concepts. References at the end of each section are drawn from not only traditional sources, but from relevant, nontraditional ones as well, including software, databases, standards, seminars, and conferences. This leads advanced researchers quickly to the data they may need for more specialized problems. An international panel of experts developed the chapters for practicing engineers, concentrating on the problems that they encounter the most and have the most difficulty with. Mathematics for Circuits and Filters aids in the engineer's understanding and recall of vital mathematical concepts and acts as the engineer's primary resource when looking for solutions to a wide range of problems.

Mathematics for Circuits and Filters

Mathematics for Circuits and Filters PDF Author: Wai-Kai Chen
Publisher: CRC Press
ISBN: 1351838350
Category : Technology & Engineering
Languages : en
Pages : 274

Get Book Here

Book Description
Every engineering professional needs a practical, convenient mathematics resource, without extensive theory and proofs. Mathematics for Circuits and Filters stresses the fundamental theory behind professional applications, making an excellent, flexible resource that enables easy access to the information needed to deal with circuits and filters. The sections feature frequent examples and illustrations, reinforcing the basic theory. The examples also demonstrate applications of the concepts. References at the end of each section are drawn from not only traditional sources, but from relevant, nontraditional ones as well, including software, databases, standards, seminars, and conferences. This leads advanced researchers quickly to the data they may need for more specialized problems. An international panel of experts developed the chapters for practicing engineers, concentrating on the problems that they encounter the most and have the most difficulty with. Mathematics for Circuits and Filters aids in the engineer's understanding and recall of vital mathematical concepts and acts as the engineer's primary resource when looking for solutions to a wide range of problems.

Understand Electronic Filters

Understand Electronic Filters PDF Author: Owen Bishop
Publisher: Newnes
ISBN: 0080543413
Category : Technology & Engineering
Languages : en
Pages : 177

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Book Description
This book covers a field of electronics which is very mathematical and which presents difficulties to electronics students at all levels. It aims to provide the reader with enough maths to really understand what electronic filters are, how they work and how to use them. The book assumes a knowledge of mathematics at about GCSE level, and a minimum of electrical and electronic theory. It proceeds by easy stages to describe the structure, action and uses of filters, introducing and explaining the necessary additional maths at each stage. The discussion is backed up by descriptions of practical working filters of all types. All the filter circuits contained within the book are simulated on computer, and this provides a wealth of computer-generated diagrams and accurate graphs, many in 3-D, to illustrate the text. To ensure the reader is confident with what they learn, short sets of questions are included periodically throughout the text under the heading Keeping Up? At the end of each chapter there is a more demanding set of Test Yourself questions, designed to reinforce the understanding acquired by reading each chapter. Answers are given at the end of the book.

A Handbook of Circuit Math for Technical Engineers

A Handbook of Circuit Math for Technical Engineers PDF Author: Robert L. Libbey
Publisher: CRC Press
ISBN: 9780849374005
Category : Technology & Engineering
Languages : en
Pages : 404

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Book Description
A Handbook of Circuit Mathematics for Technical Engineers is designed to provide students and practicing engineers a reference regarding the background and technique for solving most problems in circuit analysis. Using hundreds of equations and examples, the book covers topics ranging from the analysis of simple resistive and reactive networks to complex filters in both the analog and digital domain. The book also presents the characteristics and analysis of input forcing functions from batteries through sine, square, pulse and impulse waves; diodes and transistors, transformers, and operational amplifiers; and the transient response methods of Laplace, Fourier, and the Z-Transform. The appropriate input functions and networks, both passive and active, are illustrated in their simple, complex, and exponential forms so that readers can understand and use each form on problems encountered in day-to-day circuit analysis.

Electronic Filters

Electronic Filters PDF Author: VanĨo Litovski
Publisher: Springer Nature
ISBN: 9813298529
Category : Technology & Engineering
Languages : en
Pages : 437

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Book Description
This book provides a comprehensive overview of signal filtering, including an introduction, definitions of the terms and algorithms for numerical calculation of the properties of the transfer function in frequency and time domains. All the chapters discuss the theoretical background and explain the underlying algorithms including the iterative numerical procedures necessary to obtain the solutions. It starts by considering polynomial filters, offering a broad range of solutions and introducing critical monotonic passband amplitude characteristics (CMAC). It also describes modifications to the classical Chebyshev and elliptic filters to overcome their limitations. In the context linear phase low-pass prototypes, it presents filters approximating constant group delay in the equi-ripple manner for the first time. Further, it discusses new procedures to improve the selectivity of all polynomial filters by introducing transmission zeros, such as filters with multiple transmission zeros on the omega axis, as well as phase correction of selective filters for both low-pass and band-pass filters. Other topics explored include linear phase all-pass (exhibiting low-pass group delay approximation) filters; all-pass filters (exhibiting band-pass group delay approximation) with linear and parabolic phase synthesized directly as band-pass; high-pass, and band-stop amplitude characteristic frequency transformations to produce band-pass; and direct synthesis of linear and parabolic phase selective band-pass filters synthesized directly as band-pass. Lastly, for system (physical) synthesis, the book describes the algorithms and procedures for the following: cascade passive LC; active cascade RC; active parallel RC (for the first time); active parallel SC; Gm-C based on LC prototypes; and parallel IIR based on bilinear transformation of analog prototypes. Every algorithm, be it in transfer function synthesis or in system synthesis, is accompanied by a proper nontrivial comprehensive example produced by the RM software.

Circuits, Matrices and Linear Vector Spaces

Circuits, Matrices and Linear Vector Spaces PDF Author: Lawrence P. Huelsman
Publisher: Courier Corporation
ISBN: 048648534X
Category : Technology & Engineering
Languages : en
Pages : 306

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Book Description
This high-level text explains the mathematics behind basic circuit theory. It covers matrix algebra, which provides a general means of formulating the details of a linear system. In addition, the author presents the basic theory of n-dimensional spaces and demonstrates its application to linear systems. Numerous problems appear throughout the text. 1963 edition.

The Mathematics of Circuit Analysis

The Mathematics of Circuit Analysis PDF Author: Ernst S. Guillemin
Publisher:
ISBN: 9780262571890
Category : Business & Economics
Languages : en
Pages : 604

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Book Description
A text book designed to give the engineer a reasonably complete coverage of the mathematical topics needed specifically or collaterally in the analysis or synthesis of electrical networks.

Mathematical Foundations for Linear Circuits and Systems in Engineering

Mathematical Foundations for Linear Circuits and Systems in Engineering PDF Author: John J. Shynk
Publisher: John Wiley & Sons
ISBN: 1119073391
Category : Mathematics
Languages : en
Pages : 805

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Book Description
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.

The Circuits and Filters Handbook

The Circuits and Filters Handbook PDF Author: Wai-Kai Chen
Publisher: CRC Press
ISBN: 9781420041408
Category : Computers
Languages : en
Pages : 3076

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Book Description
A bestseller in its first edition, The Circuits and Filters Handbook has been thoroughly updated to provide the most current, most comprehensive information available in both the classical and emerging fields of circuits and filters, both analog and digital. This edition contains 29 new chapters, with significant additions in the areas of computer-

Basic Electronics Math

Basic Electronics Math PDF Author: Clyde Herrick
Publisher: Newnes
ISBN: 9780750697279
Category : Mathematics
Languages : en
Pages : 226

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Book Description
Most students entering an electronics technician program have an understanding of mathematics. Basic Electronics Math provides is a practical application of these basics to electronic theory and circuits. The first half of Basic Electronics Math provides a refresher of mathematical concepts. These chapters can be taught separately from or in combination with the rest of the book, as needed by the students. The second half of Basic Electronics Math covers applications to electronics. Basic concepts of electronics math Numerous problems and examples Uses real-world applications

Fundamentals of Circuits and Filters

Fundamentals of Circuits and Filters PDF Author: Wai-Kai Chen
Publisher: CRC Press
ISBN: 1351835025
Category : Technology & Engineering
Languages : en
Pages : 1034

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Book Description
This volume, drawn from the Circuits and Filters Handbook, focuses on mathematics basics; circuit elements, devices, and their models; and linear circuit analysis. It examines Laplace transformation, Fourier methods for signal analysis and processing, z-transform, and wavelet transforms. It also explores network laws and theorems, terminal and port represetnation, analysis in the frequency domain, and more.