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.

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 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.

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.

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.

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.

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