Book description
Every engineering professional needs a practical, convenient mathematics resource-one 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 z-Transform
-
6 Wavelet Transforms
- 6.1 Introduction
- 6.2 Signal Representation Using Basis Functions
- 6.3 The Short-Time Fourier Transform
- 6.4 Digital Filter Banks and Subband Coders
- 6.5 Deeper Study of Wavelets, Filter Banks, and Short-Time 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 Short-Time 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 No-Gain 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
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