Wideband Circuit Design

Summary

Wideband Circuit Design starts at a foundational level and proceeds at a carefully gauged pace to advanced topics, providing a self-sufficient text for specialization in wideband analog circuit design for the fields of telecommunications and related areas. Basic theory and comprehensive circuit analysis methods (oriented for application to general network computer programs) are detailed and then extended to applicational topics such as filters, delay structures, equalizers, matching networks, broadband amplifiers, and microwave components.
Novel and simplified approaches to such fundamental topics as linear circuit time domain response, synthesis of cascaded networks, and the construction of Chebychev and elliptic transfer functions are given. For the first time in book form a unified presentation of analytic matching and gain-bandwidth theory, integrated with the numerical Real Frequency design technique (originally published by the authors), is delineated. Wideband Circuit Design presents all the concepts, techniques, and procedures you need to gain the broad understanding necessary for finding creative solutions to wideband circuit design problems.

Table of Contents

1. General Properties of Linear Circuits and Systems
Operator Representation
Linear Time Invariant Systems Operators
Causality
Power, Energy, and Passivity
Passivity, Linearity, and Causality
2. LTI System Response to Exponential Eigenfunctions
Solution of Operator Equations
LTI Operator Eigenfunctions
Homogeneous Solution of LTI Operator Equations
The Particular Solution under Exponential Excitation
Conditions for Pure Eigenfunction Response
Phasors and A.C. Analysis
Network Geometry
Topology and Kirchhoff's Laws
Nodal Analysis
Mesh and Loop Analysis
Cut Set Analysis
Transfer Functions and n-Ports
Incidence Matrices and Network Equations
Tellegen's Theorem, Reciprocity, and Power
3. Impulses, Convolution, and Integral Transforms
The Impulse Function
The Fourier Integral Theorem
Impulse Response and Convolution
Real-Imaginary Part Relations; The Hilbert Transform
Causal Fourier Transforms
Minimum Immittance Functions
Amplitude-Phase Relations
Numerical Evaluation of Hilbert Transforms
Operational Rules and Generalized Fourier Transforms
Laplace Transforms and Eigenfunction Response
4. The Scattering Matrix and Realizability Theory
Physical Properties of n-Ports
General Representations of n-Ports
The Scattering Matrix Normalized to Positive Resistors
Scattering Relations for Energy and Power
Bounded Real Scattering Matrices
Positive Real Immitance Matrices
The Degree of a One-Port
5. One-Port Synthesis
Introduction
Lossless One-Port Synthesis
RC and RL One-Port Synthesis
The Scattering Matrix of a Lossless Two-Port
The Immittance Matrices of a Lossless Two-Port
Transmission Zeros
Darlington's Procedure of Synthesis
An Example
Cascade Synthesis: Type A and B Sections
Cascade Synthesis: Brune's Section
Cascade Synthesis: Darlington's C-Section
Cascade Synthesis: Darlington's D-Section
Ladder Synthesis; Fujisawa's Theorem
Transmission Zeros All Lying at Infinity and/or the Origin
6. Insertion Loss Filters
The Concept of a Filter and the Approximation Problem
Synthesis of Doubly Terminated Filters
Impedance Scaling, Frequency Transformations
Specifications for Amplitude Approximation
Butterworth Approximation
Chebyshev Approximation
Elliptic Approximation
Phase Equalization
Allpass C-Section Phase Equalizers
Allpass D-Section Phase Equalizers
Bessel Approximation
Synthesis of Singly Terminated Filters
7. Transmission Lines
The TEM Line
The Unit Element (UE); Richard's Transformation
Richard's Theorem; UE Reactance Functions
Doubly Terminated UE Cascade
Stepped Line Gain Approximations
Transfer Functions for Stepped Lines and Stubs
Coupled UE Structures
8. Broadband Matching I: Analytic Theory
The Broadbanding Problem
The Chain Matrix of a Lossless Two-Port
Complex Normalization
The Gain-Bandwidth Restrictions
The Gain-Bandwidth Restrictions in Integral Form
Example: Double Zero of Transmission
Double Matching
9. Broadband Matching II: Real Frequency Technique
Introduction
Single Matching
Transmission Line Equalizers
Double Matching
Double Matching of Active Devices
A. Analytic Functions
General Concepts
Integration of Analytic Functions
The Cauchy Integral Formula
Laurent and Taylor Expansions
The Theorem of Residues
Zeros, Poles, and Essential Singularities
Some Theorems on Analytic Functions
Classification of Analytic Functions
Multivalued Functions
The Logarithmic Derivative
Functions with a Finite Number of Singularities
Analytic Continuation
Calculus of Definite Integrals by the Residue Method
B. Linear Algebra
General Concepts
Geometrical Interpretation
Linear Simultaneous Equations
Eigenvalues and Eigenvectors
Index