Basic Matrix Analysis and Synthesis
With Applications to Electronic Engineering
Published on 20. June 2014
244 pages
978-1-4832-2409-1 (ISBN)
Description
Electronics and Instrumentation, Volume 36: Basic Matrix Analysis and Synthesis presents the application of matrix methods to practical electronics problems. This book focuses on transistor applications. Organized into three parts, this volume begins with an overview of the fundamental theory of twoports and explains the mechanisms of matrix and determinant operations with applications to the study of twoport networks, both active and passive. This text then explains the concept of impedance transformation and image matching in the different matrix domains. This book presents as well the analysis and synthesis of active networks. The final part deals with the mathematical model concepts of transistors and vacuum tubes that are freely applied to a wide range of problems with an emphasis on practical applications such as conventional amplifiers, single-, and multi-stage transistor feedback amplifiers and oscillators. This book is a valuable resource for electronics engineers as well as for students with some grounding in mathematics and network theory.
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Content
PrefacePart I. Basic Matrix Analysis and Synthesis 1. Review of the Basic Mathematical Operations with Matrices and Determinants (a) Matrices and Determinants; Fundamental Similarities and Differences (b) Addition and Subtraction (c) Multiplication (d) Inversion 2. The Terminated Twoport and Mathematical Models (a) The Terminated Twoport and the Z Matrix (b) The Terminated Twoport and the Y Matrix (c) The Terminated Twoport in Terms of the h Parameter Matrix (d) The Terminated Twoport in Terms of the g Parameter Matrix (e) The Terminated Twoport and the Transmission Matrix Table I: Terminal Properties 3. Interrelations and Conversion of Matrices (a) Inversion of the Z Matrix Into Y Matrix (b) Inversion of the g Matrix Into h Matrix (c) Conversion of the Y Matrix Into ABCD Matrix (d) Conversion of the h Matrix Into ABCD Matrix (e) Table of Matrix Conversions, Introductory Comments Table II: Matrix Interrelations] 4. Elements of Matrix Synthesis and Network Models (a) The Single Element Twoport (b) The Two-Element L Network in Terms of Z and Y Parameters (c) The Three-Element Network in Terms of Z and Y Parameters (d) The ABCD or Transmission Matrix Applied to the Synthesis of Simple Network Models (e) Twoport Interconnections and Synthesis of Generalized Mathematical Models ReferencesPart II. Matrix Methods Applied to Impedance Transformation 1. Impedance Transformation and Image Matching, General 2. Image Impedance Matching of Passive and Active Twoports (a) Image Impedance Matching in Terms of the ABCD Matrix (b) Image Impedance Matching in Terms of the Z Parameter Matrix (c) Image Impedance Matching in Terms of the h Parameter Matrix (d) Image Impedance Matching in Terms of Arbitrary Matrix Parameters 3. Application of the Z Matrix to Image Matching of a Complex Load and an RF Amplifier (a) Definition of the Problem (b) Synthesis of Mathematical Model, Conditions of Image Matching ReferencesPart III. Matrix Analysis and Synthesis of Vacuum Tube and Transistor Circuits Introductory Remarks 1. Vacuum Tubes, Linear Models and Matrices (a) General Definitions (b) Floating Admittance Matrix of the Triode (c) Transformation of the Admittance Matrix of the Triode to Arbitrary Matrix Domains References Table III: Two Port Matrices of the Triode 2. Single-Stage Vacuum Tube Amplifiers, Z Matrix Applications (a) Grounded Cathode Amplifier (b) Negative Feedback Amplifier References 3. The Single-Stage Transistor Amplifier Design, Applications of the h and ABCD or Transmission Matrix Parameters (a) Introduction (b) General Consideration of the Design Target (c) Interconnecting the Transistor and Terminating Networks, Definition of Parameter Matrices (d) The Mathematical Model of the Transistor as ABCD Matrix in Terms of Hybrid h Parameters (e) Input Impedance (f) Output Impedance (g) Current Gain (h) Voltage Gain (i) Power Gain References 4. The Single-Stage Composite Feedback Transistor Amplifier Design, Y and ABCD Matrix Applications (a) Introductory Remarks (b) Formulation of the Amplifier Design Target (c) Synthesis of the Composite Feedback Amplifier (d) Detailed Matrix Analysis (e) Current Gain (f) Voltage Gain (g) Input Impedance (h) Output Impedance (i) Concluding Remarks Table IV: Summary of Terminal Properties Reference 5.
