Wideband Circuit Design

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 SystemsOperator RepresentationLinear Time Invariant Systems OperatorsCausalityPower, Energy, and PassivityPassivity, Linearity, and Causality2. LTI System Response to Exponential EigenfunctionsSolution of Operator EquationsLTI Operator EigenfunctionsHomogeneous Solution of LTI Operator EquationsThe Particular Solution under Exponential ExcitationConditions for Pure Eigenfunction ResponsePhasors and A.C. AnalysisNetwork GeometryTopology and Kirchhoff's LawsNodal AnalysisMesh and Loop AnalysisCut Set AnalysisTransfer Functions and n-PortsIncidence Matrices and Network EquationsTellegen's Theorem, Reciprocity, and Power3. Impulses, Convolution, and Integral TransformsThe Impulse FunctionThe Fourier Integral TheoremImpulse Response and ConvolutionReal-Imaginary Part Relations; The Hilbert TransformCausal Fourier TransformsMinimum Immittance FunctionsAmplitude-Phase RelationsNumerical Evaluation of Hilbert TransformsOperational Rules and Generalized Fourier TransformsLaplace Transforms and Eigenfunction Response4. The Scattering Matrix and Realizability TheoryPhysical Properties of n-PortsGeneral Representations of n-PortsThe Scattering Matrix Normalized to Positive ResistorsScattering Relations for Energy and PowerBounded Real Scattering MatricesPositive Real Immitance MatricesThe Degree of a One-Port5. One-Port SynthesisIntroductionLossless One-Port SynthesisRC and RL One-Port SynthesisThe Scattering Matrix of a Lossless Two-PortThe Immittance Matrices of a Lossless Two-PortTransmission ZerosDarlington's Procedure of SynthesisAn ExampleCascade Synthesis: Type A and B SectionsCascade Synthesis: Brune's SectionCascade Synthesis: Darlington's C-SectionCascade Synthesis: Darlington's D-SectionLadder Synthesis; Fujisawa's TheoremTransmission Zeros All Lying at Infinity and/or the Origin6. Insertion Loss FiltersThe Concept of a Filter and the Approximation ProblemSynthesis of Doubly Terminated FiltersImpedance Scaling, Frequency TransformationsSpecifications for Amplitude ApproximationButterworth ApproximationChebyshev ApproximationElliptic ApproximationPhase EqualizationAllpass C-Section Phase EqualizersAllpass D-Section Phase EqualizersBessel ApproximationSynthesis of Singly Terminated Filters7. Transmission LinesThe TEM LineThe Unit Element (UE); Richard's TransformationRichard's Theorem; UE Reactance FunctionsDoubly Terminated UE CascadeStepped Line Gain ApproximationsTransfer Functions for Stepped Lines and StubsCoupled UE Structures8. Broadband Matching I: Analytic TheoryThe Broadbanding ProblemThe Chain Matrix of a Lossless Two-PortComplex NormalizationThe Gain-Bandwidth RestrictionsThe Gain-Bandwidth Restrictions in Integral FormExample: Double Zero of TransmissionDouble Matching9. Broadband Matching II: Real Frequency TechniqueIntroductionSingle MatchingTransmission Line EqualizersDouble MatchingDouble Matching of Active DevicesA. Analytic FunctionsGeneral ConceptsIntegration of Analytic FunctionsThe Cauchy Integral FormulaLaurent and Taylor ExpansionsThe Theorem of ResiduesZeros, Poles, and Essential SingularitiesSome Theorems on Analytic FunctionsClassification of Analytic FunctionsMultivalued FunctionsThe Logarithmic DerivativeFunctions with a Finite Number of SingularitiesAnalytic ContinuationCalculus of Definite Integrals by the Residue MethodB. Linear AlgebraGeneral ConceptsGeometrical InterpretationLinear Simultaneous EquationsEigenvalues and EigenvectorsIndex