Wideband Circuit Design: 1st Edition (Hardback) book cover

Wideband Circuit Design

1st Edition

By Herbert J. Carlin, Pier Paolo Civalleri

CRC Press

544 pages

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Hardback: 9780849378973
pub: 1997-11-20
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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


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


About the Series

Electronic Engineering Systems

Learn more…

Subject Categories

BISAC Subject Codes/Headings:
TECHNOLOGY & ENGINEERING / Electronics / Circuits / General
TECHNOLOGY & ENGINEERING / Engineering (General)