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.

    1. General Properties of Linear Circuits and Systems
    Operator Representation
    Linear Time Invariant Systems Operators
    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
    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
    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


    Herbert J. Carlin