Book description
Every engineering professional needs a practical, convenient mathematics resourceone not bogged with extensive theory and proofs. Mathematics for Circuits and Filters stresses the fundamental mathematics relevant to applications, making it an excellent resource that allows easy access to the critical equations, formulas, and methods for working with circuits and filters. An international panel of experts developed the chapters for specifically for practicing engineers, focusing on the problems that engineers encounter most frequently. Each section features plentiful examples and illustrations that reinforce the basic theory and demonstrate applications of the concepts.
Table of contents
 Cover
 Half Title
 Title
 Copyright
 Preface
 Contributors
 Contents
 1 Linear Operators and Matrices
 2 Bilinear Operators and Matrices
 3 The Laplace Transform

4 Fourier Series, Fourier Transforms and the DFT
 4.1 Introduction
 4.2 Fourier Series Representation of Continuous Time Periodic Signals
 4.3 The Classical Fourier Transform for Continuous Time Signals
 4.4 The Discrete Time Fourier Transform
 4.5 The Discrete Fourier Transform
 4.6 Family Tree of Fourier Transforms
 4.7 Selected Applications of Fourier Methods
 4.8 Summary
 5 zTransform

6 Wavelet Transforms
 6.1 Introduction
 6.2 Signal Representation Using Basis Functions
 6.3 The ShortTime Fourier Transform
 6.4 Digital Filter Banks and Subband Coders
 6.5 Deeper Study of Wavelets, Filter Banks, and ShortTime Fourier Transforms
 6.6 The Space of L1 and L2 Signals
 6.7 Riesz Basis, Biorthogonality, and Other Fine Points
 6.8 Frames in Hilbert Spaces
 6.9 ShortTime Fourier Transform: Invertibility, Orthonormality, and Localization
 6.10 Wavelets and Multiresolution
 6.11 Orthonormal Wavelet Basis from Para unitary Filter Banks
 6.12 Compactly Supported Orthonormal Wavelets
 6.13 Wavelet Regularity
 6.14 Concluding Remarks

7 Graph Theory
 7.1 Introduction
 7.2 Basic Concepts
 7.3 Cuts, Circuits, and Orthogonality
 7.4 Incidence, Circuit, and Cut Matrices of a Graph
 7.5 Orthogonality Relation and Ranks of Circuit and Cut Matrices
 7.6 Spanning Tree Enumeration
 7.7 Graphs and Electrical Networks
 7.8 Tellegen’s Theorem and Network Sensitivity Computation
 7.9 Arc Coloring Theorem and the NoGain Property
 8 Signal Flow Graphs
 Index
Product information
 Title: Mathematics for Circuits and Filters
 Author(s):
 Release date: September 2022
 Publisher(s): CRC Press
 ISBN: 9781351829915
You might also like
audiobook
Zero Trust Architecture (Audiobook)
A comprehensive guide for professionals who want to move from Zero Trust theory to implementation Overview …
book
Geometry for Programmers
Master the math behind CAD, game engines, GIS, and more! This handson book teaches you the …
book
Bayesian Optimization in Action
Bayesian optimization helps pinpoint the best configuration for your machine learning models with speed and accuracy. …
book
Modeling and Simulation in Python
Modeling and Simulation in Python is a thorough but easytofollow introduction to physical modeling—that is, the …